<?xml version="1.0" encoding="utf-8"?> <feed xmlns="http://www.w3.org/2005/Atom"> <title type="text">Recent zbMATH articles in MSC 93D</title> <id>https://zbmath.org/atom/cc/93D</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/" /> <link href="https://zbmath.org/atom/cc/93D" rel="self" /> <generator>Werkzeug</generator> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">On a viscoelastic plate equation with logarithmic nonlinearity and variable-exponents: global existence, general decay and blow-up of solutions</title> <id>https://zbmath.org/1553.35031</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.35031" /> <author> <name>&quot;Choucha, Abdelbaki&quot;</name> <uri>https://zbmath.org/authors/?q=ai:choucha.abdelbaki</uri> </author> <author> <name>&quot;Boulaaras, Salah&quot;</name> <uri>https://zbmath.org/authors/?q=ai:boulaaras.salah-mahmoud</uri> </author> <content type="text">Summary: A nonlinear viscoelastic plate equation with logarithmic nonlinearity and variable-exponents is studied. Firstly, the global existence is showed. Next, by using an integral inequality due to Komornik the general decay result is obtained. Finally, the blow-up of solutions is proved with negative initial energy.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Well-posedness and stability results for thermoelastic Bresse and Timoshenko type systems with Gurtin-Pipkin's law through the vertical displacements</title> <id>https://zbmath.org/1553.35033</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.35033" /> <author> <name>&quot;Guesmia, Aissa&quot;</name> <uri>https://zbmath.org/authors/?q=ai:guesmia.aissa-a</uri> </author> <content type="text">Summary: The objective of this paper is to study the stability of a linear one-dimensional thermoelastic Bresse system in a bounded domain, where the coupling is given through the first component of the Bresse model with the heat conduction of Gurtin-Pipkin type. Two kinds of coupling are considered; the first coupling is of order one with respect to space variable, and the second one is of order zero. We state the well-posedness and show the polynomial and strong stability of the systems for regular and weak solutions, respectively, where the polynomial decay rates depend on the smoothness of the initial data. Moreover, in case of coupling of order one, we prove the equivalence between the exponential stability and some new conditions on the parameters of the system. However, when the coupling is of order zero, we prove the non-exponential stability independently of the parameters of the system. Applications to the corresponding particular Timoshenko models are also given, where we prove that both couplings lead to the exponential stability if and only if some conditions on the parameters of the systems are satisfied, and both couplings guarantee the polynomial stability independently of the parameters of the systems. The proof of the well-posedness result is based on the semigroups theory, whereas a combination of the energy method and the frequency domain approach is used for the proof of the stability results.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">General decay of a variable coefficient viscoelastic wave equation with the logarithmic nonlinearity, not necessarily decreasing kernel and acoustic boundary conditions</title> <id>https://zbmath.org/1553.35034</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.35034" /> <author> <name>&quot;Guo, Dandan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:guo.dandan</uri> </author> <author> <name>&quot;Zhang, Zhifei&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.zhifei.1</uri> </author> <content type="text">Summary: In this work we investigate a viscoelastic wave equation with variable coefficients, a logarithmic nonlinearity, and acoustic boundary conditions. Making some assumptions on the memory kernel function \(g\), which is not necessarily decreasing, and using the Lyapunov method, we establish a general decay estimate of the solution. To some extent, this result extends and improves many results in the literature.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators</title> <id>https://zbmath.org/1553.35135</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.35135" /> <author> <name>&quot;Hastir, Anthony&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hastir.anthony</uri> </author> <author> <name>&quot;Hosfeld, Ren茅&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hosfeld.rene</uri> </author> <author> <name>&quot;Schwenninger, Felix L.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:schwenninger.felix-l</uri> </author> <author> <name>&quot;Wierzba, Alexander A.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wierzba.alexander-a</uri> </author> <content type="text">Summary: This note deals with bounded-input-bounded-output (BIBO) stability for semilinear infinite-dimensional dynamical systems allowing for boundary control and boundary observation. We give sufficient conditions that guarantee BIBO stability based on Lipschitz conditions with respect to interpolation spaces. Our results can be applied to guarantee the feasibility of funnel control for coupled ordinary differential equation-partial differential equation (ODE-PDE) systems, as shown by means of an example from chemical engineering. For the entire collection see [Zbl 1550.35004].</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">On checking \(L^p\)-admissibility for parabolic control systems</title> <id>https://zbmath.org/1553.35136</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.35136" /> <author> <name>&quot;Preu脽ler, Philip&quot;</name> <uri>https://zbmath.org/authors/?q=ai:preussler.philip</uri> </author> <author> <name>&quot;Schwenninger, Felix L.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:schwenninger.felix-l</uri> </author> <content type="text">Summary: In this chapter we discuss the difficulty of verifying \(\mathrm{L}^p\)-admissibility for \(p\neq 2\) -- which even manifests in the presence of a self-adjoint semigroup generator on a Hilbert space -- and survey tests for \(\mathrm{L}^p\)-admissibility of given control operators. These tests are obtained by virtue of either mapping properties of boundary trace operators, yielding a characterization of admissibility via abstract interpolation spaces, or through Laplace-Carleson embeddings, slightly extending results from \textit{B. Jacob} et al. [SIAM J. Control Optim. 52, No. 2, 1299--1313 (2014; Zbl 1294.30098)] to a class of systems which are not necessarily diagonal with respect to sequence spaces. Special focus is laid on illustrating the theory by means of examples based on the heat equation on various domains. For the entire collection see [Zbl 1550.35004].</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Graph limit of the consensus model with self-delay</title> <id>https://zbmath.org/1553.82029</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.82029" /> <author> <name>&quot;Haskovec, Jan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:haskovec.jan</uri> </author> <content type="text">Summary: It is known that models of interacting agents with self-delay (reaction-type delay) do not admit, in general, the classical mean-field limit description in terms of a Fokker-Planck equation. In this paper we propose the graph limit of the nonlinear consensus model with self-delay as an alternative continuum description and study its mathematical properties. We establish the well-posedness of the resulting integro-differential equation in the Lebesgue \(L^p\) space. We present a rigorous derivation of the graph limit from the discrete consensus system and derive a sufficient condition for reaching global asymptotic consensus. We also consider a linear variant of the model with a given interaction kernel, which can be interpreted as a dynamical system over a graphon. Here we derive an optimal (i.e. sufficient and necessary) condition for reaching global asymptotic consensus. Finally, we give a detailed explanation of how the presence of the self-delay term rules out a description of the mean-field limit in terms of a particle density governed by a Fokker-Planck-type equation. In particular, we show that the indistinguishability-of-particles property does not hold, which is one of the main ingredients for deriving the classical mean-field description. {{\copyright} 2024 The Author(s). Published by IOP Publishing Ltd}</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Central nervous system action on rolling balance board robust stabilization: computer algebra and MID-based feedback design</title> <id>https://zbmath.org/1553.92010</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.92010" /> <author> <name>&quot;Trabelsi, Karim L.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:trabelsi.karim-l</uri> </author> <author> <name>&quot;Boussaada, Islam&quot;</name> <uri>https://zbmath.org/authors/?q=ai:boussaada.islam</uri> </author> <author> <name>&quot;Benarab, Amina&quot;</name> <uri>https://zbmath.org/authors/?q=ai:benarab.amina</uri> </author> <author> <name>&quot;Molnar, Csenge&quot;</name> <uri>https://zbmath.org/authors/?q=ai:molnar.csenge</uri> </author> <author> <name>&quot;Niculescu, Silviu-Iulian&quot;</name> <uri>https://zbmath.org/authors/?q=ai:niculescu.silviu-iulian</uri> </author> <author> <name>&quot;Insperger, Tamas&quot;</name> <uri>https://zbmath.org/authors/?q=ai:insperger.tamas</uri> </author> <content type="text">Summary: Using the computer algebra system Maple, we consider the stabilization of a rolling balance board by means of the multiplicity-induced-dominancy (MID) property. The human stance on a rolling balance board is analyzed in the sagittal plane through a 2-degree-of-freedom mechanical model. Namely, the human body is modeled by a double-inverted pendulum which connects to the balance board through the ankle joint. The system is stabilized by the ankle torque managed by the central nervous system (CNS). The action of the CNS is modeled by a delayed full state feedback: A pointwise delay stands for all latencies in the neuromechanical system (reaction time, neuromechanical lag, etc.). The aim of the chapter is to achieve a good occurrence in terms of the decay rate, and it exhibits the links between multiple spectral values satisfying the MID property and the exponential stability property of the solution (Note that a preliminary version of this work was published in [\textit{A. Benarab} et al., ``Rolling balance board robust stabilization: a MID-based design'', in: Proceedings of the 17th IFAC workshop on time delay systems, TDS 2022. Amsterdam: Elsevier. 7--12 (2022; \url{doi:10.1016/j.ifacol.2022.11.325})]. For the entire collection see [Zbl 1544.35007].</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Control in finite and infinite dimension</title> <id>https://zbmath.org/1553.93001</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93001" /> <author> <name>&quot;Tr茅lat, Emmanuel&quot;</name> <uri>https://zbmath.org/authors/?q=ai:trelat.emmanuel</uri> </author> <content type="text">Publisher's description: This book is the result of various master and summer school courses the author has taught. The objective is to provide the reader with an introduction to control theory and to the main tools allowing to treat general control systems. The author hopes this book will serve as motivation to go deeper into the theory or numerical aspects that are not covered in this book. This book might be helpful for graduate students and researchers in the field of control theory.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Bipartite tracking for Euler-Lagrange systems via prescribed-time hierarchical control based on the matrix-weighted signed digraphs</title> <id>https://zbmath.org/1553.93006</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93006" /> <author> <name>&quot;Gu, Ren-Jie&quot;</name> <uri>https://zbmath.org/authors/?q=ai:gu.renjie</uri> </author> <author> <name>&quot;Han, Tao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:han.tao</uri> </author> <author> <name>&quot;Xiao, Bo&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xiao.bo</uri> </author> <author> <name>&quot;Zhan, Xi-Sheng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhan.xisheng</uri> </author> <author> <name>&quot;Yan, Huaicheng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:yan.huaicheng</uri> </author> <content type="text">Summary: The goal of this article is to investigate the bipartite tracking control problem using a prescribed-time convergence method for Euler-Lagrange systems (ELSs) with external disturbances. Agent interactions are represented by a matrix-weighted signed directed graph. There are not only cooperative but also adversarial interactions. An essential component of the system, the prescribed-time hierarchical control (PTHC) algorithm, including a more general time-varying function, is newly developed to guarantee that all agents converge to the same leader state but with opposite signs within a prescribed time. The salient feature of the introduced method lies in the fact that the convergence time of the control objective can be prespecified by the user. The state transformation, the property of the matrix-weighted Laplacian, and the generalized Lyapunov stability argument are employed to theoretically validate the proposed algorithms. Finally, the effectiveness of the algorithm is confirmed through the execution of numerical examples. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Decentralized PI-control and anti-windup in resource sharing networks</title> <id>https://zbmath.org/1553.93008</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93008" /> <author> <name>&quot;Agner, Felix&quot;</name> <uri>https://zbmath.org/authors/?q=ai:agner.felix</uri> </author> <author> <name>&quot;Hansson, Jonas&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hansson.jonas</uri> </author> <author> <name>&quot;Kergus, Pauline&quot;</name> <uri>https://zbmath.org/authors/?q=ai:kergus.pauline</uri> </author> <author> <name>&quot;Rantzer, Anders&quot;</name> <uri>https://zbmath.org/authors/?q=ai:rantzer.anders</uri> </author> <author> <name>&quot;Tarbouriech, Sophie&quot;</name> <uri>https://zbmath.org/authors/?q=ai:tarbouriech.sophie</uri> </author> <author> <name>&quot;Zaccarian, Luca&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zaccarian.luca</uri> </author> <content type="text">Summary: We consider control of multiple stable first-order agents which have a control coupling described by an M-matrix. These agents are subject to incremental sector-bounded input nonlinearities. We show that such plants can be globally asymptotically stabilized to a unique equilibrium using fully decentralized proportional-integral controllers equipped with anti-windup and subject to local tuning rules. In addition, we show that when the nonlinearities correspond to the saturation function, the closed loop asymptotically minimizes a weighted 1-norm of the agents state mismatch. The control strategy is finally compared to other state-of-the-art controllers on a numerical district heating example.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Decentralized event-triggered online learning for safe consensus control of multi-agent systems with Gaussian process regression</title> <id>https://zbmath.org/1553.93009</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93009" /> <author> <name>&quot;Dai, Xiaobing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:dai.xiaobing</uri> </author> <author> <name>&quot;Yang, Zewen&quot;</name> <uri>https://zbmath.org/authors/?q=ai:yang.zewen</uri> </author> <author> <name>&quot;Xu, Mengtian&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xu.mengtian</uri> </author> <author> <name>&quot;Zhang, Sihua&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.sihua</uri> </author> <author> <name>&quot;Liu, Fangzhou&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.fangzhou</uri> </author> <author> <name>&quot;Hattab, Georges&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hattab.georges</uri> </author> <author> <name>&quot;Hirche, Sandra&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hirche.sandra</uri> </author> <content type="text">Summary: Consensus control in multi-agent systems has received significant attention and practical implementation across various domains. However, managing consensus control under unknown dynamics remains a significant challenge for control design due to system uncertainties and environmental disturbances. This paper presents a novel learning-based distributed control law augmented by auxiliary dynamics. Gaussian processes are harnessed to compensate for the unknown components of the multi-agent system. For continuous enhancement in the predictive performance of the Gaussian process model, a data-efficient online learning strategy with a decentralized event-triggered mechanism is proposed. Furthermore, the control performance of the proposed approach is ensured via the Lyapunov theory, based on a probabilistic guarantee for prediction error bounds. To demonstrate the efficacy of the proposed learning-based controller, a comparative analysis is conducted, contrasting it with both conventional distributed control laws and offline learning methodologies.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Distributed fixed-time control for high-order multi-agent systems with FTESO and feasibility constraints</title> <id>https://zbmath.org/1553.93014</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93014" /> <author> <name>&quot;Zhang, Chen&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.chen</uri> </author> <author> <name>&quot;Zhang, Guangming&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.guangming</uri> </author> <author> <name>&quot;Han, Weisong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:han.weisong</uri> </author> <author> <name>&quot;Lv, Xiaodong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:lu.xiaodong</uri> </author> <author> <name>&quot;Shi, Zhihan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:shi.zhihan</uri> </author> <content type="text">Summary: In this study, a fixed-time distributed anti-disturbance control strategy is designed for a class of higher-order multi-agent systems in an undirected static topology. Inspired by the existing literature, the strategy introduces a unique way of defining neighborhood errors during the design process to deal with the connectivity maintenance and collision avoidance problems among the neighbor agents in the system. The control strategy not only solves the full state constraint and transient steady state performance constraint control problems simultaneously, but also considers the effects of internal uncertainties and external disturbances of the system, which enhances the difficulty of controller design. To address these challenges, a fixed-time extended state observer is introduced to obtain the estimation of uncertainty and disturbance. Subsequently, an integrated backstepping control scheme is designed to feed-forward compensate for uncertainties and disturbances, while constraining the transient steady-state performance of the system to remain within a predefined performance boundaries. This is achieved by combining the fixed-time prescribed performance and the barrier Lyapunov function. Finally, a simulation case is presented to verify the effectiveness of the designed control strategy.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Bumpless transfer sliding mode control for discrete-time switched systems under average dwell-time switchings</title> <id>https://zbmath.org/1553.93030</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93030" /> <author> <name>&quot;Sun, Qilong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:sun.qilong</uri> </author> <author> <name>&quot;Yang, Rongni&quot;</name> <uri>https://zbmath.org/authors/?q=ai:yang.rongni</uri> </author> <content type="text">Summary: This paper is concerned with the bumpless transfer sliding mode control problem for discrete-time switched systems under average dwell-time (ADT) switching signals. In order to deal with the external disturbances and suppress the control input bumps, a sliding mode controller is synthesized with the combination of the bumpless transfer technique. Particularly, by introducing a reference input signal, a novel bumpless transfer constraint is imposed for the switched systems driven by the sliding mode control, and sufficient conditions are presented to ensure the stability as well as the bumpless transfer performance of the resultant sliding mode dynamics with the help of the ADT method and the Lyapunov function technique. Finally, the feasibility and effectiveness of the proposed results are demonstrated by two examples, including an application of an aero-engine control system.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Observer-based robust adaptive \(H_\infty\) sliding mode control of stochastic delay systems</title> <id>https://zbmath.org/1553.93031</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93031" /> <author> <name>&quot;Yang, Yiming&quot;</name> <uri>https://zbmath.org/authors/?q=ai:yang.yiming</uri> </author> <author> <name>&quot;Meng, Xin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:meng.xin</uri> </author> <author> <name>&quot;Jiang, Baoping&quot;</name> <uri>https://zbmath.org/authors/?q=ai:jiang.baoping</uri> </author> <author> <name>&quot;Wu, Zhengtian&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wu.zhengtian</uri> </author> <author> <name>&quot;Zhang, Xin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.xin.81</uri> </author> <content type="text">Summary: In this paper, a class of stochastic systems with nonlinear characteristics of It么-type is considered, and a robust sliding mode control to deal with the effects of parameter uncertainty, time-variant delay and nonlinear perturbations is proposed. More specifically, since the nonlinear nature of the system is not fully known, an adaptive control strategy is adopted to meet the challenge. Firstly, we design a full-order adaptive state observer and propose a novel concept of common sliding surface. Secondly, we present a controller of sliding mode method, which is adaptive with the aim of ensuring that the system reaches a predefined sliding surface within a limited time. Thirdly, to assess the constancy of the system, linear matrix inequality (LMI) techniques are introduced, offering ample conditions for the constancy of the closed-loop system concerning the specified \(H_\infty\) performance scalar \(\gamma\). Ultimately, using TD circuit model as an example, numerical simulations are used to confirm the suggested approach's efficacy and viability.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Closed-loop identification of stabilized models using dual input-output parameterization</title> <id>https://zbmath.org/1553.93036</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93036" /> <author> <name>&quot;Chen, Ran&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.ran</uri> </author> <author> <name>&quot;Srivastava, Amber&quot;</name> <uri>https://zbmath.org/authors/?q=ai:srivastava.amber</uri> </author> <author> <name>&quot;Yin, Mingzhou&quot;</name> <uri>https://zbmath.org/authors/?q=ai:yin.mingzhou</uri> </author> <author> <name>&quot;Smith, Roy S.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:smith.roy-s</uri> </author> <content type="text">Summary: This paper introduces a dual input-output parameterization (dual IOP) for the identification of linear time-invariant systems from closed-loop data. It draws inspiration from the recent input-output parameterization developed to synthesize a stabilizing controller. The controller is parameterized in terms of closed-loop transfer functions, from the external disturbances to the input and output of the system, constrained to lie in a given subspace. Analogously, the dual IOP method parameterizes the unknown plant with analogous closed-loop transfer functions, also referred to as dual parameters. In this case, these closed-loop transfer functions are constrained to lie in an affine subspace guaranteeing that the identified plant is \textit{stabilized} by the known controller. Compared with existing closed-loop identification techniques guaranteeing closed-loop stability, such as the dual Youla parameterization, the dual IOP requires neither a doubly-coprime factorization of the controller nor a nominal plant that is stabilized by the controller. The dual IOP does not depend on the order and the state-space realization of the controller either, as in the dual system-level parameterization. Simulation shows that the dual IOP outperforms the existing benchmark methods.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Detection-based resilient control for cyber-physical systems against two-channel false data injection attacks</title> <id>https://zbmath.org/1553.93047</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93047" /> <author> <name>&quot;Li, Jinyan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.jinyan</uri> </author> <author> <name>&quot;Li, Xiaomeng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.xiaomeng</uri> </author> <author> <name>&quot;Ren, Hongru&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ren.hongru</uri> </author> <author> <name>&quot;Li, Hongyi&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.hongyi</uri> </author> <content type="text">Summary: This paper focuses on a detection-based resilient control issue for cyber-physical systems (CPSs) subject to false data injection (FDI) attacks, where FDI attacks occur in the communication channels from the sensor-to-controller and controller-to-actuator. Firstly, to reduce the adverse impacts of FDI attacks on estimation performance, an unbiased estimator is constructed by tackling the equality-constrained optimization problem. Then, an effective attack detection mechanism is devised by introducing a pseudo-innovation sequence to formulate the detection function, which can successfully detect two-channel FDI attacks. Based on these detection results, a resilient controller combining linear quadratic Gaussian and \(H_{\infty}\) controllers is provided to guarantee the mean-square asymptotic stability of CPSs with \(H_{\infty}\) performance. Finally, the validity of the proposed resilient control approach is demonstrated by a simulation involving satellite control system. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Robust control of positive 2-dimensional systems with bounded realness property</title> <id>https://zbmath.org/1553.93049</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93049" /> <author> <name>&quot;Zamani, Mahmoud&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zamani.mahmoud</uri> </author> <author> <name>&quot;Zamani, Iman&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zamani.iman</uri> </author> <author> <name>&quot;Shafiee, Masoud&quot;</name> <uri>https://zbmath.org/authors/?q=ai:shafiee.masoud</uri> </author> <content type="text">Summary: As presented in this paper, we explore the control of a discrete-time two-dimensional (2-D) system using the Lyapunov approach. The Giovane-Roesser model (G-R) for 2-D systems was introduced, and we presented the asymptotic stability analysis for this class of systems while maintaining the strictly bounded real (SBR) property. In the next step, we solve the stability problem in the presence of uncertainties in the system while preserving the SBR condition. We design state feedback and output feedback controllers to control 2-D discrete-time systems with preceding uncertainties, introducing algorithms to design such controllers. In order to ensure the validity of our findings, we present the simulation results as numerical and practical examples.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Constrained model predictive control for networked jump systems under denial-of-service attacks and time delays</title> <id>https://zbmath.org/1553.93056</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93056" /> <author> <name>&quot;Qiu, Li&quot;</name> <uri>https://zbmath.org/authors/?q=ai:qiu.li</uri> </author> <author> <name>&quot;Chen, Runjie&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.runjie</uri> </author> <author> <name>&quot;Lin, Shaolie&quot;</name> <uri>https://zbmath.org/authors/?q=ai:lin.shaolie</uri> </author> <author> <name>&quot;Liu, Xueliang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.xueliang</uri> </author> <author> <name>&quot;Najariyan, Marzieh&quot;</name> <uri>https://zbmath.org/authors/?q=ai:najariyan.marzieh</uri> </author> <content type="text">Summary: This article addresses the problem of model predictive control of networked jump systems in the presence of DoS attacks and time delays. In the structural framework of the network predictive control system, we mathematically model the networked jump system by using Markov chains to describe the time delays and a polytope model to describe the jump system phenomenon, considering the properties of DoS attacks and time delays. Based on this, we propose a strategy to lessen the effect of network constraints on the control performance of the system. This strategy involves the corresponding control inputs from the control sequence for real-time active compensation. It includes adjusting the control sequence application length variation based on the duration of the DoS attacks and time delays at each moment. In addition, we demonstrate the recursive feasibility of the control strategy and the global asymptotic stability of the control system from a theoretical perspective through the Lyapunov stability theory. Finally, the effectiveness of the proposed strategy is verified by simulation arithmetic. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Contracting infinite-gain margin feedback and synchronization of nonlinear systems</title> <id>https://zbmath.org/1553.93064</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93064" /> <author> <name>&quot;Astolfi, Daniele&quot;</name> <uri>https://zbmath.org/authors/?q=ai:astolfi.daniele</uri> </author> <author> <name>&quot;Andrieu, Vincent&quot;</name> <uri>https://zbmath.org/authors/?q=ai:andrieu.vincent</uri> </author> <content type="text">Summary: In this chapter, we study the problem of synchronization of homogeneous multi-agent systems in which the network is described by a connected graph. The dynamics of each single agent is described by an input-affine nonlinear system. We propose a feedback controller based on contraction analysis and Riemannian metrics. The starting point is the existence of a solution to a specific partial differential inequality which generalizes, in the nonlinear context, the well-known algebraic Riccati inequality. Further, we provide new results that allow to relax the Killing vector property so that to obtain a less stringent solution to be approximated with numerical methods. The proposed approach allows to design an infinite-gain margin feedback which is the fundamental ingredient to solve the problem of synchronization. We show that the synchronization problem is solved between two agents and we conjecture that the result holds for any connected graph. Simulations for a connected directed graph of Duffing oscillators corroborate the conjecture. For the entire collection see [Zbl 1537.93005].</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Safe platooning and merging control using constructive barrier feedback</title> <id>https://zbmath.org/1553.93066</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93066" /> <author> <name>&quot;Chen, Xiao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.xiao.5|chen.xiao</uri> </author> <author> <name>&quot;Tang, Zhiqi&quot;</name> <uri>https://zbmath.org/authors/?q=ai:tang.zhiqi</uri> </author> <author> <name>&quot;Johansson, Karl H.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:johansson.karl-henrik</uri> </author> <author> <name>&quot;M氓rtensson, Jonas&quot;</name> <uri>https://zbmath.org/authors/?q=ai:martensson.jonas</uri> </author> <content type="text">Summary: This paper proposes a novel formation control design for safe platooning and merging of a group of vehicles in multi-lane road scenarios. Provided a leader vehicle is independently controlled, the objective is controlling the follower vehicles to drive in the desired lane with a constant desired distance behind the neighboring (preceding) vehicle while preventing collisions with both the neighboring vehicle and the road's edges. Inspired by the recent concept of constructive barrier feedback, the proposed controller for each follower vehicle is composed of two parts: one is the nominal controller that ensures its tracking of the neighboring vehicle; another is for collision avoidance by using divergent flow as a dissipative term, which slows down the relative velocity in the direction of the neighboring vehicle and road edges without compromising the nominal controller's performance. The key contribution of this work is that the proposed control method ensures collision-free platooning and merging control in multi-lane road scenarios with computational efficiency and systematic stability analysis. Simulation results are provided to demonstrate the effectiveness of the proposed algorithms.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Output feedback finite-time boundary control for an unstable heat PDE with spatially varying coefficients</title> <id>https://zbmath.org/1553.93068</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93068" /> <author> <name>&quot;Ghaderi, Najmeh&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ghaderi.najmeh</uri> </author> <author> <name>&quot;Mojallali, Hamed&quot;</name> <uri>https://zbmath.org/authors/?q=ai:mojallali.hamed</uri> </author> <content type="text">Summary: This article studies the output feedback finite-time boundary control for unstable heat systems with the spatially varying coefficient. First, a finite-time observer with switched gains under a state-dependent switching law is designed in order to estimate the states of the system in a finite-time only exerting one displacement boundary measurement. Next, an observer-based linear finite-time control is planned. Namely, a linear switched control under a state-dependent switching law is proposed to vanish every solution of an unstable heat partial differential equation with spatially varying coefficients in a finite time. We also present explicit forms for the proposed observer gains and output feedback finite-time controller. Finally, some numerical simulations are provided to confirm the theoretical results. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Physics-based output-feedback consensus-formation control of networked autonomous vehicles</title> <id>https://zbmath.org/1553.93071</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93071" /> <author> <name>&quot;Lor铆a, Antonio&quot;</name> <uri>https://zbmath.org/authors/?q=ai:loria.antonio</uri> </author> <author> <name>&quot;Nu帽o, Emmanuel&quot;</name> <uri>https://zbmath.org/authors/?q=ai:nuno.emmanuel</uri> </author> <author> <name>&quot;Panteley, Elena&quot;</name> <uri>https://zbmath.org/authors/?q=ai:panteley.elena-v</uri> </author> <author> <name>&quot;Restrepo, Esteban&quot;</name> <uri>https://zbmath.org/authors/?q=ai:restrepo.esteban</uri> </author> <content type="text">Summary: We describe a control method for multi-agent vehicles, to make them adopt a formation around a non-pre-specified point on the plane, and with common but non-pre-imposed orientation. The problem may be considered as part of a more complex maneuver in which the robots are summoned to a rendezvous to advance in formation. The novelty and most appealing feature of our control method is that it is physics-based; it relies on the design of distributed dynamic controllers that may be assimilated to second-order mechanical systems. The consensus task is achieved by making the controllers, not the vehicles themselves directly, achieve consensus. Then, the vehicles are steered into a formation by virtue of fictitious mechanical couplings with their respective controllers. We cover different settings of increasing technical difficulty, from consensus formation control of second-order integrators to second-order nonholonomic vehicles and in scenarii including both state- and output-feedback control. In addition, we address the realistic case in which the vehicles communicate over a common WiFi network that introduces time-varying delays. Remarkably, the same physics-based method applies to all the scenarii. For the entire collection see [Zbl 1537.93005].</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Quantized output-feedback event-triggered distributed control of switched fractional multi-agent systems subject to input nonlinearities and consensus error constraints</title> <id>https://zbmath.org/1553.93072</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93072" /> <author> <name>&quot;Malek, Sayyed Alireza&quot;</name> <uri>https://zbmath.org/authors/?q=ai:malek.sayyed-alireza</uri> </author> <author> <name>&quot;Shahrokhi, Mohammad&quot;</name> <uri>https://zbmath.org/authors/?q=ai:shahrokhi.mohammad</uri> </author> <author> <name>&quot;Pishro, Aboozar&quot;</name> <uri>https://zbmath.org/authors/?q=ai:pishro.aboozar</uri> </author> <content type="text">Summary: In this paper, an adaptive quantized output feedback event-triggered (ET) distributed consensus control approach for an uncertain nonstrict nonlinear switched fractional-order (FO) multi-agent system (SFOMAS) subject to communication limitation is proposed. By relying on the common Lyapunov function method, the switch signals are arbitrarily, and no information regarding the switching instants is required. The consensus error of each agent has its own asymmetric time-varying constraints (ATCs). By adopting the common barrier Lyapunov function (BLF), violation of these constraints is prevented. For each agent, different input nonlinearities can be considered in different modes, and the controllers need no information about their types and characteristics. The communication burden between outputs sensors and the controllers is reduced by applying uniform-logarithmic-hysteresis quantizers to the outputs signals. By using FO filters, which can be considered as a FO version of the dynamic surface control (DSC) method, the so-called explosion of complexity is avoided and the discontinuity problem of FO derivatives of virtual controllers due to outputs quantization is resolved. Observers are designed to estimate the unmeasured states. Also, function approximators (FAs) are employed to approximate uncertainties. A novel lemma that correlates observer states to consensus errors and their constraints, FO filters errors, adaptive parameters and backstepping error surfaces, has been proposed to establish the observer stability. To reduce the communication burden between the controllers and actuators, relative threshold ET mechanisms have been applied to control signals. The combination problem of unmeasured states with the mentioned input constraints for SFOMASs is coped with another novel lemma. Utilizing the common Lyapunov functions (CLFs) and the backstepping technique, virtual controllers, adaptive law and control signal for each agent have been designed and boundedness of closed-loop signals and avoidance of Zeno behavior have been proved. The effectiveness of the proposed control scheme is demonstrated through a simulation study. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">On-line data-driven control for uncertain systems based on greedy algorithm</title> <id>https://zbmath.org/1553.93074</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93074" /> <author> <name>&quot;Shen, Jiahui&quot;</name> <uri>https://zbmath.org/authors/?q=ai:shen.jiahui</uri> </author> <author> <name>&quot;Liu, Xinggao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.xinggao</uri> </author> <content type="text">Summary: Considering a result that persistently exciting data can be used to replace the linear system model, this paper is devoted to applying this result in the field of data-driven control of nonlinear systems. An on-line iteration based on greedy algorithm to stabilize uncertain discrete-time systems is proposed. The method tends to obtain approximate optimal control through solving a series of programming problems. Every programming problem is linear for the convenience of solving. Besides, in particular, the method requires few prior conditions, as long as the system is controllable and observable and the equilibrium state of the system is known. First, we prove that under certain circumstances, the solution to our linear matrix inequality can stabilize the system. Next, a multi-objective programming problem is proposed to deal with situations where the required conditions are unknown. Finally, an on-line iteration is used to enhance robustness as well as real-time evaluation. The method is illustrated to be effective through a simulation under repeated experiments.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Observer design for visual-inertial estimation of pose, linear velocity and gravity direction in planar environments</title> <id>https://zbmath.org/1553.93075</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93075" /> <author> <name>&quot;Bouazza, Tarek&quot;</name> <uri>https://zbmath.org/authors/?q=ai:bouazza.tarek</uri> </author> <author> <name>&quot;Hamel, Tarek&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hamel.tarek</uri> </author> <author> <name>&quot;Samson, Claude&quot;</name> <uri>https://zbmath.org/authors/?q=ai:samson.claude-g</uri> </author> <content type="text">Summary: Vision-aided inertial navigation systems combine data from a camera and an IMU to estimate the position, orientation, and linear velocity of a moving vehicle. In planar environments, existing methods assume knowledge of the vertical direction and ground plane to exploit accelerometer measurements. This paper presents a new solution that extends the estimation to arbitrary planar environments. A deterministic Riccati observer is designed to estimate the direction of gravity along with the vehicle pose, linear velocity, and the normal direction to the plane by fusing bearing correspondences from an image sequence with angular velocity and linear acceleration data. Comprehensive observability and stability analysis establishes an explicit persistent excitation condition under which local exponential stability of the observer is achieved. Simulation and real-world experimental results illustrate the performance and robustness of the proposed approach.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Observer-based fixed-time task-space cooperative tracking control of networked Lagrangian agents with quantized communication</title> <id>https://zbmath.org/1553.93076</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93076" /> <author> <name>&quot;Ding, Teng-Fei&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ding.teng-fei</uri> </author> <author> <name>&quot;Zhang, Qiu-Yue&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.qiuyue</uri> </author> <author> <name>&quot;Ge, Ming-Feng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ge.mingfeng</uri> </author> <author> <name>&quot;Liu, Jie&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.jie.33</uri> </author> <author> <name>&quot;Park, Ju H.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:park.jessie</uri> </author> <content type="text">Summary: In this article, the task-space cooperative tracking control (TSCTC) problem of networked Lagrangian agents (NLAs) with quantized communication is investigated in fixed time, where every Lagrangian agent suffers from imprecise dynamics and external disturbances. A hierarchical observer-based fixed-time control (HOBFTC) algorithm is proposed, where there are four parts: a prescribed-time input observer is proposed to recover the unknown input of the leader, a distributed estimator control is designed to force the estimated values to converge the states (position and velocity) of the leader, a fixed-time disturbance observer is presented to recover the total disturbances of NLAs, and a nonsingular fixed-time local control is given to guarantee that the task-space cooperative tracking can be achieved. The salient features are twofold: (1) by employing the hierarchical control strategy, the proposed control algorithm is clearly structured to solve the complex cooperative tracking problem with multiple constraints including quantized communication, imprecise dynamics and external disturbances. (2) the convergence time of the proposed control algorithm can be set freely by selecting some parameters, which are independent of the initial conditions. Some sufficient conditions are obtained and some simulation examples are given to validate the effectiveness of the proposed algorithm. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Observer-based feedback-control for the stabilization of a class of parabolic systems</title> <id>https://zbmath.org/1553.93077</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93077" /> <author> <name>&quot;Djebour, Imene Aicha&quot;</name> <uri>https://zbmath.org/authors/?q=ai:djebour.imene-aicha</uri> </author> <author> <name>&quot;Ramdani, Karim&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ramdani.karim</uri> </author> <author> <name>&quot;Valein, Julie&quot;</name> <uri>https://zbmath.org/authors/?q=ai:valein.julie</uri> </author> <content type="text">Summary: We consider the stabilization of a class of linear evolution systems \(z'=Az+Bv\) under the observation \(y=Cz\) by means of a finite dimensional control \(v\). The control is based on the design of a Luenberger observer which can be infinite or finite dimensional (of dimension large enough). In the infinite dimensional case, the operator \(A\) is supposed to generate an analytical semigroup with compact resolvent and the operators \(B\) and \(C\) are unbounded operators whereas in the finite dimensional case, \(A\) is assumed to be a self-adjoint operator with compact resolvent, \(B\) and \(C\) are supposed to be bounded operators. In both cases, we show that if \((A, B)\) and \((A, C)\) verify the Fattorini-Hautus criterion, then we can construct an observer-based control \(v\) of finite dimension (greater or equal than largest geometric multiplicity of the unstable eigenvalues of \(A)\) such that the evolution problem is exponentially stable. As an application, we study the stabilization of the diffusion system.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Toward enhancing nonlinear observers for Lipschitz system: exploiting the matrix multipliers-based LMIs</title> <id>https://zbmath.org/1553.93079</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93079" /> <author> <name>&quot;Mohite, Shivaraj&quot;</name> <uri>https://zbmath.org/authors/?q=ai:mohite.shivaraj</uri> </author> <author> <name>&quot;Alma, Marouane&quot;</name> <uri>https://zbmath.org/authors/?q=ai:alma.marouane</uri> </author> <author> <name>&quot;Zemouche, Ali&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zemouche.ali</uri> </author> <content type="text">Summary: This article is focused on the design of an LMI-based observer for the class of disturbance-affected nonlinear systems. Two novel LMI conditions are derived by deploying a more general form of the matrix multiplier compared to the one used in the literature. The first method is based on the use of the \(\mathscr{H}_{\infty}\) criterion, while the second one utilizes an ISS notion. Both LMIs are developed by employing the reformulated Lipschitz property, a well-known LPV approach and the new variant of Young inequality. The key element of the proposed LMI conditions is the incorporation of the novel matrix multipliers which allow us to include some additional decision variables as compared to the methods proposed in the literature. These additional variables add extra degrees of freedom, thus enhancing the LMI feasibility. Furthermore, the effectiveness of the proposed methodologies is showcased through a numerical example. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Constructive synchronous observer design for inertial navigation with delayed GNSS measurements</title> <id>https://zbmath.org/1553.93082</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93082" /> <author> <name>&quot;van Goor, Pieter&quot;</name> <uri>https://zbmath.org/authors/?q=ai:van-goor.pieter</uri> </author> <author> <name>&quot;Wickramasinghe, Punjaya&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wickramasinghe.punjaya</uri> </author> <author> <name>&quot;Hampsey, Matthew&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hampsey.matthew</uri> </author> <author> <name>&quot;Mahony, Robert&quot;</name> <uri>https://zbmath.org/authors/?q=ai:mahony.robert-e</uri> </author> <content type="text">Summary: Inertial navigation systems (INS) estimate a vehicle's navigation states (attitude, velocity, and position) by combining measurements from an inertial measurement unit (IMU) with other supporting sensors, typically including a glob al navigation satellite system (GNSS) and a magnetometer. Recent nonlinear observer designs for INS provide powerful stability guarantees but do not account for some of the real-world challenges of INS. One of the key challenges is to account for the time-delay characteristic of GNSS measurements. This paper addresses this question by extending recent work on synchronous observer design for INS. The delayed GNSS measurements are related to the state at the current time using recursively-computable delay matrices, and this is used to design correction terms that leads to almost-globally asymptotic and locally exponential stability of the error. Simulation results verify the proposed observer and show that the compensation of time-delay is key to both transient and steady-state performance.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Uniform ultimate boundedness analysis for linear systems with asymmetric input backlash and dead-zone: a piecewise quadratic Lyapunov function approach</title> <id>https://zbmath.org/1553.93091</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93091" /> <author> <name>&quot;Pierron, A.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:pierron.a</uri> </author> <author> <name>&quot;Kreiss, J.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:kreiss.jeremie</uri> </author> <author> <name>&quot;Jungers, M.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:jungers.marc</uri> </author> <author> <name>&quot;Mill茅rioux, G.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:millerioux.gilles</uri> </author> <author> <name>&quot;Dupont, J.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:dupont.j-m|dupont.johan-l|dupont.jean-baptiste</uri> </author> <author> <name>&quot;Martig, M.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:martig.m</uri> </author> <content type="text">Summary: This paper deals with the interconnection between a linear system and a nonlinear operator consisting of asymmetric input backlash and asymmetric dead-zone. The uniform ultimate boundedness of the system is studied. A piecewise quadratic Lyapunov function, suitable with the polyhedral description of the nonlinear operator is proposed. The conservatism of existing results is therefore reduced. The effectiveness and improvement of the results are assessed using a numerical example.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Harmonic modeling and control</title> <id>https://zbmath.org/1553.93092</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93092" /> <author> <name>&quot;Vernerey, Flora&quot;</name> <uri>https://zbmath.org/authors/?q=ai:vernerey.flora</uri> </author> <author> <name>&quot;Riedinger, Pierre&quot;</name> <uri>https://zbmath.org/authors/?q=ai:riedinger.pierre</uri> </author> <author> <name>&quot;Daafouz, Jamal&quot;</name> <uri>https://zbmath.org/authors/?q=ai:daafouz.jamal</uri> </author> <content type="text">Summary: Harmonic modeling involves transforming a periodic system into an equivalent time-invariant model of infinite dimension. The states of this model, also referred to as phasors, are represented by coefficients obtained through a sliding Fourier decomposition process. This chapter aims to present a unified and coherent mathematical framework for harmonic modeling and control. By adopting this framework, the analysis and design processes become significantly simplified, as all the methods established for time-invariant systems can be directly applied. Within this framework, we explore the application of these methods to tackle the task of designing control laws based on harmonic pole placement for linear time-periodic (LTP) systems. Additionally, we delve into the computational aspects associated with these control designs. For the entire collection see [Zbl 1537.93005].</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Pitot tube measure-aided air velocity and attitude estimation in GNSS denied environment</title> <id>https://zbmath.org/1553.93096</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93096" /> <author> <name>&quot;de Oliveira, Tomas L.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:de-oliveira.tomas-l</uri> </author> <author> <name>&quot;van Goor, Pieter&quot;</name> <uri>https://zbmath.org/authors/?q=ai:van-goor.pieter</uri> </author> <author> <name>&quot;Hamel, Tarek&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hamel.tarek</uri> </author> <author> <name>&quot;Mahony, Robert&quot;</name> <uri>https://zbmath.org/authors/?q=ai:mahony.robert-e</uri> </author> <author> <name>&quot;Samson, Claude&quot;</name> <uri>https://zbmath.org/authors/?q=ai:samson.claude-g</uri> </author> <content type="text">Summary: This paper addresses the problem of estimating air velocity and gravity direction for small autonomous fixed-wing drones in \(\mathrm{GNSS}^1\)-denied environments. The proposed solution uses a minimal sensor suite, relying on Pitot tube measurements and inertial measurement unit (IMU) signals, including only gyrometers and accelerometers. The approach combines the Riccati observer and equivariant filter designs, using an over-parametrization technique to design an observer on \(\mathbf{SO}(3)\times\mathbb{R}^3\) and subsequently re-project to \(\mathcal{S}^2\times\mathbb{R}^3\) to estimate the gravity direction. The system's observability is analyzed, and local exponential stability of the origin of the observer error is demonstrated as long as the aircraft attitude is persistently exciting. The observer was evaluated using simulated and real flight data to showcase the estimator's performance.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Tracking control for restrained nonlinear systems with time-changing latency using the preview control approach</title> <id>https://zbmath.org/1553.93098</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93098" /> <author> <name>&quot;Li, Li&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.li.13</uri> </author> <author> <name>&quot;Lu, Yanrong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:lu.yanrong</uri> </author> <author> <name>&quot;Zhang, Yaofeng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.yaofeng</uri> </author> <content type="text">Summary: An innovative technique for developing fuzzy preview tracking control nonlinear systems using Takagi-Sugeno (T-S) fuzzy models is discussed. The design considers robustness against state time-changing latency, input saturation, and reference tracking. To achieve this, the T-S fuzzy system was combined with time-changing latency and input saturation to create an augmented error system, transforming the original fuzzy preview tracking control issue into a stability issue for the augmented error systems. Next, a new fuzzy preview tracking controller was developed by considering the T-S fuzzy systems' states or outputs, a distinct integrator, and a previewed reference signal to solve the tracking control issue. For the augmented error system's asymptotic stability, new adequate conditions were derived by employing the fuzzy Lyapunov function, small gain theory, and linear matrix inequality (LMI) method. Finally, the proposed method's effectiveness was demonstrated using two numerical examples. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Output synchronization of a class of complex dynamic networks: a reinforcement learning method</title> <id>https://zbmath.org/1553.93110</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93110" /> <author> <name>&quot;Zheng, Ning&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zheng.ning.2</uri> </author> <author> <name>&quot;Liu, Jinxu&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.jinxu</uri> </author> <author> <name>&quot;Su, Lei&quot;</name> <uri>https://zbmath.org/authors/?q=ai:su.lei</uri> </author> <author> <name>&quot;Lv, Shaoyu&quot;</name> <uri>https://zbmath.org/authors/?q=ai:lv.shaoyu</uri> </author> <author> <name>&quot;Shen, Hao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:shen.hao.1</uri> </author> <content type="text">Summary: In this paper, to achieve the synchronization control for a class of complex dynamic networks with completely unknown system dynamics, a reinforcement learning output feedback algorithm based on state reconstruction is proposed. Given the high cost and complexity associated with obtaining the full state information, an output-based node state reconstruction method is employed for the first time in complex dynamic networks. The proposed method utilizes a sequence composed of a finite number of output data to reconstruct the current state. At the same time, the overall error system is constructed to handle the coupling relationship between nodes, to facilitate the controller design. Thereafter, considering the system dynamics are unknown, an algorithm based on reinforcement learning is proposed to ensure rapid synchronization of node outputs, and the convergence of proposed method is proven. Finally, the feasibility of proposed algorithm is corroborated through a simulation example and a multi-vehicle system.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Observer-based quantized control for networked interconnected PDE systems with actuator failures</title> <id>https://zbmath.org/1553.93111</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93111" /> <author> <name>&quot;Lu, Ganghui&quot;</name> <uri>https://zbmath.org/authors/?q=ai:lu.ganghui</uri> </author> <author> <name>&quot;Zhang, Liang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.liang.1|zhang.liang.2|zhang.liang|zhang.liang.6|zhang.liang.5|zhang.liang.18|zhang.liang.3|zhang.liang.13|zhang.liang.7|zhang.liang.15</uri> </author> <author> <name>&quot;Song, Shuai&quot;</name> <uri>https://zbmath.org/authors/?q=ai:song.shuai</uri> </author> <author> <name>&quot;Song, Xiaona&quot;</name> <uri>https://zbmath.org/authors/?q=ai:song.xiaona</uri> </author> <content type="text">Summary: This paper proposes an observer-based quantized controller for parabolic partial differential equation systems interconnected by a nonlinear coupling protocol. First, a Markov jump model is introduced to describe various randomly occurring actuator failures, and an observer-based pointwise controller is designed under the averaged measurement scheme. Furthermore, taking into account the limitation of network communication resources, a quantization method is adopted to relieve bandwidth pressure. In addition, stability conditions of the closed-loop system with \(\mathcal{H}_\infty\) disturbance attenuation performance are derived by utilizing appropriate Lyapunov functional and inequality techniques. Ultimately, the proposed method is applied to the Fisher equation to verify its feasibility and effectiveness.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Delay-compensatory synchronization on uncertain chaotic neural networks via average delayed impulsive gains</title> <id>https://zbmath.org/1553.93112</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93112" /> <author> <name>&quot;Geng, Ziqing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:geng.ziqing</uri> </author> <author> <name>&quot;Tang, Ze&quot;</name> <uri>https://zbmath.org/authors/?q=ai:tang.ze</uri> </author> <author> <name>&quot;Ding, Dong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ding.dong</uri> </author> <author> <name>&quot;Feng, Jianwen&quot;</name> <uri>https://zbmath.org/authors/?q=ai:feng.jianwen</uri> </author> <content type="text">Summary: This paper mainly studies the exponential synchronization issue of chaotic neural networks with parametric uncertainties and time-varying delays via hybrid impulsive control and delay compensatory strategy. Considering the hybrid impulses and flexible delays in the controller, the idea of average delayed impulsive gain (ADIG) is introduced to quantify the effects of hybrid impulses from a comprehensive viewpoint, i.e., not only the desynchronizing/synchronizing delay-free impulses but also the desynchronizing/synchronizing delayed impulses are discussed. Meanwhile, the impulsive delays are fetched and integrated to compensate the desynchronizing impulses dynamically, which removes certain strict restrictions on the impulsive gains and impulsive delays compared with existed works. Correspondingly, some relaxed sufficient criteria for exponential synchronization are derived by jointly utilizing the concept of average delayed impulsive gain, the delay compensatory scheme and the mathematical induction methodology. Ultimately, two examples with some comparisons are given to verify the applicability and superior performance of the obtained results.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Maneuvering a stick in three-dimensional space using impulsive forces</title> <id>https://zbmath.org/1553.93113</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93113" /> <author> <name>&quot;Khandelwal, Aakash&quot;</name> <uri>https://zbmath.org/authors/?q=ai:khandelwal.aakash</uri> </author> <author> <name>&quot;Kant, Nilay&quot;</name> <uri>https://zbmath.org/authors/?q=ai:kant.nilay</uri> </author> <author> <name>&quot;Mukherjee, Ranjan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:mukherjee.ranjan</uri> </author> <content type="text">Summary: The problem of maneuvering a stick in three-dimensional space using purely impulsive inputs is considered. A steady motion of the stick is one in which it is juggled between a sequence of configurations rotationally symmetric about the vertical axis; such a motion can be viewed as a periodic orbit. In particular, this work addresses the problem of transitioning from one steady orbit to another. The impulse controlled Poincar茅 map approach is used to achieve the desired control objective. Simulation results verify the efficacy of the control design for several maneuvers. For the entire collection see [Zbl 1537.93004].</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">A joint spectral radius for \(\omega\)-regular language-driven switched linear systems</title> <id>https://zbmath.org/1553.93115</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93115" /> <author> <name>&quot;Aazan, Georges&quot;</name> <uri>https://zbmath.org/authors/?q=ai:aazan.georges</uri> </author> <author> <name>&quot;Girard, Antoine&quot;</name> <uri>https://zbmath.org/authors/?q=ai:girard.antoine</uri> </author> <author> <name>&quot;Mason, Paolo&quot;</name> <uri>https://zbmath.org/authors/?q=ai:mason.paolo</uri> </author> <author> <name>&quot;Greco, Luca&quot;</name> <uri>https://zbmath.org/authors/?q=ai:greco.luca</uri> </author> <content type="text">Summary: In this chapter, we introduce some tools to analyze stability properties of discrete-time switched linear systems driven by switching signals belonging to a given \(\omega\)-regular language. More precisely, we assume that the switching signals are generated by a deterministic B眉chi automaton whose alphabet coincides with the set of modes of the switched system. We present the notion of \(\omega\)-regular joint spectral radius \((\omega\)-RJSR), which intuitively describes the contraction of the state when the run associated with the switching signal visits an accepting state of the automaton. Then, we show how this quantity is related to the stability properties of such systems. Specifically, we show how this notion can characterize a class of stabilizing switching signals for a switched system that is unstable for arbitrary switching. Though the introduced quantity is hard to compute, we present some methods to approximate it using Lyapunov and automata-theoretic techniques. More precisely, we show how upper bounds can be computed by solving a convex optimization problem. To validate the results of our work, we finally show a numerical example related to the synchronization of oscillators over a communication network.The articles of this volume will not be indexed individually. For the entire collection see [Zbl 1537.93005].</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Asynchronous control of continuous-time switched systems with all unstable modes under DoS attacks</title> <id>https://zbmath.org/1553.93116</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93116" /> <author> <name>&quot;Huang, Guoxuan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:huang.guoxuan</uri> </author> <author> <name>&quot;Du, Yingxue&quot;</name> <uri>https://zbmath.org/authors/?q=ai:du.yingxue</uri> </author> <author> <name>&quot;Zhang, Ancai&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.ancai</uri> </author> <author> <name>&quot;Liu, Yang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.yang.7</uri> </author> <author> <name>&quot;Liu, Zhi&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.zhi.2</uri> </author> <content type="text">Summary: In this article, the asynchronous control problem of switched linear systems with all unstable modes under denial-of-service (DoS) attacks is studied. First, the upper bound of the sampling period, which can be easily calculated based on the scenario where all modes are unstable, is obtained under a periodic sampling control strategy. Second, by constructing an appropriate discrete multiple linear quadratic Lyapunov function, an asynchronous control scheme in the form of linear matrix inequalities is devised. To ensure the stability of switched systems under DoS attacks, a sufficient condition for the total duration and frequency of DoS attacks is established. It is shown that the switched system can tolerate DoS attacks up to a certain limit while maintaining exponential stability, and this result is applicable even when all subsystems are unstable. Finally, numerical examples and a comparative study are presented to demonstrate the effectiveness of the proposed method. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">An improved switched prescribed finite time attitude control for quadrotors</title> <id>https://zbmath.org/1553.93117</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93117" /> <author> <name>&quot;Liu, Zhongtao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.zhongtao</uri> </author> <author> <name>&quot;He, Weikai&quot;</name> <uri>https://zbmath.org/authors/?q=ai:he.weikai</uri> </author> <author> <name>&quot;Liu, Cungen&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.cungen</uri> </author> <author> <name>&quot;Li, Chengdong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.chengdong</uri> </author> <author> <name>&quot;Zhao, Yajing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhao.yajing</uri> </author> <content type="text">Summary: The paper is devoted to the prescribed finite time attitude control for quadrotors. A novel prescribed finite time function is introduced, which is independent of initial conditions and design parameters. And a switched prescribed finite time controller is firstly designed, such that the quadrotor can not only converge to the desired attitude in a prescribed time, but also guarantee the stability of the quadrotor after the settling time. Simultaneously, it effectively avoids chattering issues at the controller's switching points. Finally, the simulation comparisons are carried out between the proposed control strategy and infinite time, finite time, traditional prescribed finite time control schemes to demonstrate the superiority of the developed controller. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Event-triggered control for a class of switched linear systems with actuator saturation and denial-of-service attacks</title> <id>https://zbmath.org/1553.93118</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93118" /> <author> <name>&quot;Tian, Xinyu&quot;</name> <uri>https://zbmath.org/authors/?q=ai:tian.xinyu</uri> </author> <author> <name>&quot;Wang, Chunyan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.chunyan.2</uri> </author> <author> <name>&quot;Xiang, Zhengrong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xiang.zhengrong</uri> </author> <author> <name>&quot;Wang, Xiaohuan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.xiaohuan</uri> </author> <content type="text">Summary: The stabilization problem for a class of switched linear systems under the joint influence of actuator saturation and denial-of-service (DoS) attacks is investigated in this study. An innovative event-triggered scheme is proposed to solve the problem of unpredictable asynchronous duration. Unlike previous studies that limit the maximum interevent interval, our approach allows for multiple switches within an interevent interval and minimizes the unnecessary event-triggered instants. Using a mode-dependent approach, the convergence and divergence of each subsystem with/without DoS attacks are analyzed. Then the lower bound of the corresponding indices is obtained to further estimate the largest possible domain of attraction (DOA). Based on an extended multiple Lyapunov function approach, the switching state-feedback control gains and event-triggered parameters are gained. A mode-dependent switching law is designed to ensure the exponential stability of the closed-loop system under the dual influence of saturation and attack. The proposed control scheme expands the range of options for certain parameters and allows the conclusions to be applied to a wider range of scenarios. Finally, two numerical examples and a practical example are given to demonstrate the effectiveness of the presented method.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Scaled graphs for reset control system analysis</title> <id>https://zbmath.org/1553.93119</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93119" /> <author> <name>&quot;van den Eijnden, Sebastiaan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:van-den-eijnden.sebastiaan</uri> </author> <author> <name>&quot;Chaffey, Thomas&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chaffey.thomas</uri> </author> <author> <name>&quot;Oomen, Tom&quot;</name> <uri>https://zbmath.org/authors/?q=ai:oomen.tom</uri> </author> <author> <name>&quot;Heemels, W. P. M. H. (Maurice)&quot;</name> <uri>https://zbmath.org/authors/?q=ai:heemels.w-p-m-h-maurice</uri> </author> <content type="text">Summary: Scaled graphs allow for graphical analysis of nonlinear systems, but are generally difficult to compute. The aim of this paper is to develop a method for approximating the scaled graph of reset controllers. A key ingredient in our approach is the generalized Kalman-Yakubovich-Popov lemma to determine \textit{input specific} input-output properties of a reset controller in the time domain. By combining the obtained time domain properties to cover the full input space, an over-approximation of the scaled graph is constructed. Using this approximation, we establish a feedback interconnection result and provide connections to classical input-output analysis frameworks. Several examples show the relevance of the results for the analysis and design of reset control systems.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Adaptive estimator-based exponential fault-tolerant tracking control for a class of uncertain MIMO nonlinear systems with simultaneous actuator/sensor faults</title> <id>https://zbmath.org/1553.93127</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93127" /> <author> <name>&quot;Khebbache, Hicham&quot;</name> <uri>https://zbmath.org/authors/?q=ai:khebbache.hicham</uri> </author> <author> <name>&quot;Bounar, Naamane&quot;</name> <uri>https://zbmath.org/authors/?q=ai:bounar.naamane</uri> </author> <author> <name>&quot;Soukkou, Yassine&quot;</name> <uri>https://zbmath.org/authors/?q=ai:soukkou.yassine</uri> </author> <author> <name>&quot;Labiod, Salim&quot;</name> <uri>https://zbmath.org/authors/?q=ai:labiod.salim</uri> </author> <author> <name>&quot;Boulkroune, Abdesselem&quot;</name> <uri>https://zbmath.org/authors/?q=ai:boulkroune.abdesselem</uri> </author> <content type="text">Summary: In this article, we propose an adaptive estimator-based exponential fault tolerant control (FTC) for a class of Multiple-Input Multiple-Output (MIMO) nonlinear systems under model uncertainties, external disturbances, along with both multiplicative and additive time-varying actuator/sensor faults. To tackle the inherent ``explosion of terms'' issue in the standard backstepping method, we employ the command filtered backstepping (CFB) framework, introducing a novel compensating system to alleviate the effect of filtering errors and improve the convergence of tracking errors. The adaptive estimator-based estimation laws are meticulously designed separately from the tracking system, integrating both proportional and integral prediction errors derived from estimator outputs along with estimation errors of faulty terms. Instead of directly employing high learning gains to achieve fast estimation -- a practice that may induce undesired high-frequency oscillations, especially in transient process -- we incorporate time-varying learning gains with appropriate convergence rates that may be initialized with low values and gradually increased to high bounded gains. Furthermore, by introducing modification terms with appropriate time-varying gains, we demonstrate, based on Lyapunov theory, that the resulting system is globally exponentially stable. Two application examples are considered in simulation to illustrate the effectiveness and benefits of the presented FTC approach.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Neuroadaptive-based fixed-time control for robotic manipulators with uniform prescribed performance under unknown disturbance</title> <id>https://zbmath.org/1553.93130</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93130" /> <author> <name>&quot;Liu, Chengguo&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.chengguo</uri> </author> <author> <name>&quot;Li, Junyang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.junyang</uri> </author> <author> <name>&quot;He, Ye&quot;</name> <uri>https://zbmath.org/authors/?q=ai:he.ye</uri> </author> <author> <name>&quot;Jing, Anyan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:jing.anyan</uri> </author> <author> <name>&quot;Li, Longnan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.longnan</uri> </author> <content type="text">Summary: Achieving faster convergence, smaller transient overshoots, and higher steady-state tracking accuracy is essential to improve the efficiency, robustness, and applicability of robotic manipulators. This article introduces an innovative adaptive fixed-time uniform prescribed performance controller for the manipulator facing model uncertainties and unknown disturbances. Initially, by designing a modified prescribed performance function inspired by variable superposition, this study redefines the unified prescribed performance control problem into a simplified parameter selection problem. This approach allows for the incorporation of varied performance metrics within a singular control scheme, addressing both transient and steady-state performances concurrently without shifting control frameworks. Then, to alleviate computational demands, an adaptive neural network employing a single-parameter weight update technique compensates for uncertainties of the manipulator dynamic model. Additionally, a disturbance observer is designed to mitigate the impact of non-parametric disturbances. Moreover, integrating fixed-time theory with the Lyapunov stability analysis method guarantees the convergence of all error signals to a near-zero compact neighborhood at a fixed time. Finally, the advantages and comprehensive performance of the proposed method are confirmed by numerical simulations and real-world experiments. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Predefined-time self-structuring neural network \(H_\infty\) cooperative control for multirobot systems with prescribed performance and input quantization</title> <id>https://zbmath.org/1553.93132</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93132" /> <author> <name>&quot;Liu, Haitao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.haitao</uri> </author> <author> <name>&quot;Li, Weichen&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.weichen</uri> </author> <author> <name>&quot;Tian, Xuehong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:tian.xuehong</uri> </author> <author> <name>&quot;Du, Liang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:du.liang</uri> </author> <content type="text">Summary: In this paper, a predefined-time adaptive command filter \(H_\infty\) controller with a self-adjusting performance function is proposed for multirobot systems. It guarantees that the tracking error meets the desired performance requirements and solves the vulnerability problem that arises in traditional prescribed performance. First, an asymmetric tan-type barrier Lyapunov function is introduced to establish asymmetric barrier constraints under input saturation and input quantization. Second, a prescribed performance with self-adjustment is introduced in the asymmetric tan-type barrier Lyapunov function, which limits the position error and changes the performance envelope based on its state. Third, a predefined-time adaptive command filter is introduced to address the ``complexity explosion'' issue and improve the convergence speed. Fourth, a predefined-time self-structuring neural network is introduced to fit the model uncertainty and time-varying disturbances, and a predefined-time \(H_\infty\) control strategy is designed to address the strong sudden disturbances. Finally, some simulation examples are provided to test the validity of the above algorithms.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Composite adaptive neural control for automatic carrier landing system with input saturation and output constraints</title> <id>https://zbmath.org/1553.93133</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93133" /> <author> <name>&quot;Liu, Yu&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.yu.32|liu.yu.21|liu.yu.2|liu.yu.4|liu.yu.8|liu.yu.26|liu.yu.23|liu.yu.15|liu.yu.16|liu.yu.12|liu.yu|liu.yu.22|liu.yu.25</uri> </author> <author> <name>&quot;Zhang, Yuanyuan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.yuanyuan.1</uri> </author> <author> <name>&quot;Li, Renfu&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.renfu</uri> </author> <content type="text">Summary: This paper investigates the automatic carrier landing control problem in the presence of model uncertainty, airwake disturbances, input saturation, and output constraints. Considering the performance requirements of the carrier-based aircraft, a composite adaptive neural controller is proposed based on the time-varying barrier Lyapunov function and backstepping control techniques. The radial basis function neural network is used to approximate the model uncertainty, where the neural network weight update law incorporating prediction and tracking errors further improves the convergence rate of the neural network and mitigates high-frequency oscillations. Furthermore, an adaptive disturbance compensation model is established to mitigate the adverse effects of airwake disturbances and estimation errors in the neural network. Based on the Lyapunov stability theory, it is proven that the proposed controller maintains the aircraft trajectory within the prescribed constraints and also ensures that all signals in the closed-loop control system are semiglobally uniformly ultimately bounded. Finally, comparative simulations are performed to demonstrate the effectiveness and superiority of the proposed composite adaptive neural control method.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Practical time-varying formation cooperative control for high-order nonlinear multi-agent systems avoiding spatial resource conflict via safety constraints</title> <id>https://zbmath.org/1553.93135</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93135" /> <author> <name>&quot;Ma, Xiaoshan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ma.xiaoshan</uri> </author> <author> <name>&quot;Chou, Tawei&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chou.tawei</uri> </author> <content type="text">Summary: The operation of multi-agent systems (MAS) in space necessitates considerations for obstacle avoidance, collision prevention, and connectivity among agents. This coupling conflict, stemming from spatial resource utilization, poses a significant and non-negligible threat to the safe operation of MAS. This article proposes a consensus control scheme for the time-varying formation of MAS, incorporating functions for maintaining connectivity, collision avoidance, and obstacle dodging. This scheme effectively constrains the time-varying formation tracking error within an arbitrarily small range. The considered system model takes a high-order nonlinear form, with uncertainties and disturbances present in each order. This grants the control scheme with high generality and practicability. By employing barrier Lyapunov function to delineate the safe operational space of MAS, conflicts in spatial resource utilization are avoided. This approach simultaneously fulfills the requirements for connectivity maintenance, collision avoidance, and obstacle dodging in the safe operation of MAS. An additional rotation operator is integrated into the controller to smoothly address the ``minima'' problem, eliminating the need for external intervention. Gaussian radial basis function is used to estimate the nonlinear terms, uncertainties, and unknown perturbation online in the system. The stability of the MAS under the proposed control scheme is analyzed through Lyapunov function. Finally, numerical simulation results are demonstrated to explain the effectiveness of the control scheme. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Reinforcement learning-based adaptive motion control for autonomous vehicles via actor-critic structure</title> <id>https://zbmath.org/1553.93143</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93143" /> <author> <name>&quot;Wang, Honghai&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.honghai</uri> </author> <author> <name>&quot;Wei, Liangfen&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wei.liangfen</uri> </author> <author> <name>&quot;Wang, Xianchao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.xianchao</uri> </author> <author> <name>&quot;He, Shuping&quot;</name> <uri>https://zbmath.org/authors/?q=ai:he.shuping</uri> </author> <content type="text">Summary: In this paper, an optimized adaptive human-machine collaborative torque control methodology is developed for a class of autonomous vehicle systems with unknown disturbances by employing a reinforcement learning technology with identifier-critic-actor architecture. The criticism method is proposed to assess the performance of the control and to give feedback to the actor. Furthermore, a human-vehicle-road model with steering torque as input is constructed to describe the vehicle's dynamic response and the driver's maneuvering behavior. The stability of the control system is analyzed by means of the Lyapunov theory. Finally, the effectiveness of the control methodology is illustrated by means of a numerical example.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">A novel adaptive event-triggered security consensus control mechanism for leader-following multi-agent systems under hybrid random cyber attacks</title> <id>https://zbmath.org/1553.93146</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93146" /> <author> <name>&quot;Xiong, Lianglin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xiong.lianglin</uri> </author> <author> <name>&quot;Chen, Kangyue&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.kangyue</uri> </author> <author> <name>&quot;Cao, Jinde&quot;</name> <uri>https://zbmath.org/authors/?q=ai:cao.jinde</uri> </author> <author> <name>&quot;Zhang, Yi&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.yi.66|zhang.yi.52|zhang.yi.4|zhang.yi.3|zhang.yi.42|zhang.yi.44|zhang.yi.10|zhang.yi.14|zhang.yi.65|zhang.yi.8|zhang.yi.18|yi.zhang|zhang.yi.17|zhang.yi.34|zhang.yi.1|zhang.yi.55|zhang.yi.41|zhang.yi.48|zhang.yi.2|zhang.yi.54|zhang.yi.60|zhang.yi.40|zhang.yi.57|zhang.yi.86|zhang.yi|zhang.yi.25|zhang.yi.12</uri> </author> <content type="text">Summary: Aiming at the security consensus control problem of leader-following multi-agent systems (MASs) under hybrid random cyber attack, this article proposes a novel sampled information related adaptive event-triggered control mechanism (SIRAETCM). While ensuring the safety performance of the MASs, the mechanism adaptively and dynamically adjusts the trigger threshold of every agent to achieve discontinuous communication by using only the current and latest sampled signals. According to the MASs communication mode and Bernoulli attack model, a security consensus control protocol is constructed, and a bilateral sampled-interval Lyapunov functional (BSILF) method is introduced to obtain more sampling interval information and establish sufficient conditions for the leader-following state error system to stabilize asymptotically under hybrid random cyber attacks. Meanwhile, under a large sampling interval, the controller gain and adaptive event-triggered parameters are designed and obtained. The simulation of the tunnel diode circuit system shows that the SIRAETCM can reduce the number of communications between agents to improve bandwidth utilization, and the adopted safety cooperative control protocol can improve the safety and effectiveness of the MASs. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Dynamic-surface-based adaptive predefined-time control for nonlinear non-affine switched systems with sensor fault</title> <id>https://zbmath.org/1553.93147</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93147" /> <author> <name>&quot;Xu, Ke&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xu.ke</uri> </author> <author> <name>&quot;Wang, Huanqing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.huanqing</uri> </author> <author> <name>&quot;Liu, Peter Xiaoping&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.peter-xiaoping</uri> </author> <content type="text">Summary: The adaptive neural tracking fault-tolerant control problem is considered for nonlinear non-affine switched systems with sensor faults via dynamic surface control (DSC) technique under arbitrary switchings within predefined-time interval. During the controller design process, the non-affine formation strictly processed so that the implicit control signals can be transformed into explicit ones. The introduction of hyperbolic tangent function to design the control signal eliminates the singularity at the same time, but also avoids the tedious discussion of the segmentation function to solve the singularity. Considering Lyapunov stability theorem, an adaptive fault tolerant control approach is presented, which means that the settling-time can be programmed by the user practical specification under arbitrary switching, the predefined time boundedness of all closed-loop signals can be ensured, and the influence of sensor faults can be compensated. The effectiveness of the presented method is verified via simulation results. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Adaptive finite-time tracking control of nonlinear systems subject to input hysteresis and multiple objective constraints</title> <id>https://zbmath.org/1553.93150</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93150" /> <author> <name>&quot;Zhao, Wei&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhao.wei.2|zhao.wei.5|zhao.wei.6|zhao.wei.22|zhao.wei.10|zhao.wei.14|zhao.wei.3|zhao.wei|zhao.wei.7|zhao.wei.8|zhao.wei.4|zhao.wei.11|zhao.wei.9</uri> </author> <author> <name>&quot;Han, Yu-Qun&quot;</name> <uri>https://zbmath.org/authors/?q=ai:han.yu-qun</uri> </author> <author> <name>&quot;Zhou, Ya-Feng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhou.ya-feng</uri> </author> <author> <name>&quot;Zhu, Shan-Liang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhu.shanliang</uri> </author> <content type="text">Summary: In this article, the problem of adaptive finite-time tracking control for a class of nonlinear systems subject to backlash-like input hysteresis and multiple objective constraints is investigated. For the purpose of realizing multiple objective constraints, a new time-varying barrier function (TVBF) is introduced to ensure that all objective constraint functions are always within the defined range. Meanwhile, based on the combination of the command filter approach and adaptive backstepping control, an error compensation system (ECS) is supplied to reduce the impact of filter error on control performance. Additionally, the problem of ``singularity'' caused by hysteresis is avoided by linearizing the backlash-like hysteresis model, and Nussbaum-type function is also applied to reduce the influence of hysteresis on the stability of the system. Then, by combining multi-dimensional Taylor network (MTN) technology and command filter backstepping approach, an adaptive finite-time control strategy is designed. The proposed control strategy ensures that all the signals in the closed-loop system realize finite-time semi-globally uniformly ultimately bounded (SGUUB), and the output signal of the system can track the reference signal greatly while adhering to multiple objective constraints. Finally, the effectiveness of the proposed control strategy is verified by a practical simulation example. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Multi-variable constrained control for uncertain high-order strict-feedback fully actuated nonlinear systems</title> <id>https://zbmath.org/1553.93153</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93153" /> <author> <name>&quot;Zhu, Lingchen&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhu.lingchen</uri> </author> <author> <name>&quot;Zhang, Liuliu&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.liuliu</uri> </author> <author> <name>&quot;Qian, Cheng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:qian.cheng</uri> </author> <author> <name>&quot;Hua, Changchun&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hua.changchun</uri> </author> <content type="text">Summary: This study focuses on multi-variable constrained control for uncertain high-order strict-feedback (HOSF) fully actuated nonlinear systems using the high-order fully actuated (HOFA) system approach. By employing the practical prescribed time control (PPTC) method, the system states' convergence time and accuracy are ensured without requiring constrained initial conditions. Subsequently, the considered constrained nonlinear systems are transformed into unconstrained ones through coordinate transformation. The integration of command filtered control and radical basis function (RBF) neural network into the HOFA system approach control design allows for the approximation of unknown nonlinear functions and reduces computational complexity. Under the presented control strategy, the complexity of the system's control design can be further reduced, simultaneously enhancing the performance of the system. Furthermore, the designed controller guarantees that all system signals remain bounded and the prescribed constraints for all system states are satisfied. Finally, simulation results demonstrate the effectiveness of the proposed strategy.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Synchronization control of cyber-physical systems with time-varying dynamics under denial-of-service attacks</title> <id>https://zbmath.org/1553.93158</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93158" /> <author> <name>&quot;Zhang, Daotong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.daotong</uri> </author> <author> <name>&quot;Shi, Peng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:shi.peng</uri> </author> <author> <name>&quot;Chambers, Jonathon&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chambers.jonathon-a</uri> </author> <content type="text">Summary: In this paper, the problem of synchronization control of cyber-physical systems with time-varying dynamics under Denial-of-Service attacks is studied. The communication channels of the synchronization protocol between the subsystems in the cyber-physical systems may be injected into DoS attacks. To counteract the adverse effects of these attacks on synchronization, a target reference model is initially created for each subsystem to mimic its standard operational dynamics. Subsequently, utilizing this reference model, an adaptive compensator is proposed. The unified synchronization protocol guarantees that the synchronization error remains minimal through the adjustment of specific parameters, even under DoS attacks. To showcase the efficiency of this approach, an illustrative numerical simulation example is conducted.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Direct data-driven control of discrete-time switched systems with input saturation</title> <id>https://zbmath.org/1553.93159</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93159" /> <author> <name>&quot;Chen, Qixin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.qixin</uri> </author> <author> <name>&quot;Zhu, Yanzheng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhu.yanzheng</uri> </author> <author> <name>&quot;Xu, Xiaozeng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xu.xiaozeng</uri> </author> <content type="text">Summary: In this paper, the problem of direct data-driven control is studied for a class of discrete-time switched systems with input saturation. For unknown switched systems, a data-driven approach is adopted to parameterize the controller directly from the input-state data of the system, which does not depend on the exact mathematical model. In addition, the input saturation problem is addressed by using the polyhedral convex hull method, and the data representation is given for the closed-loop system. By using Lyapunov theory and dwell time method, the exponential stability conditions of linear matrix inequalities (LMIs) form are obtained, and the desired attractive domain is estimated. Moreover, considering the data polluted by process noise, a robust data-driven state feedback controller is designed and the performance of \(\mathcal{L}_2\) gain is guaranteed. Finally, the advantage of the proposed data-driven based control method is verified by two numerical examples.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Event-triggered finite-time fault-tolerance control and simultaneous disturbance rejection for Markov jump systems with general transition probabilities</title> <id>https://zbmath.org/1553.93162</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93162" /> <author> <name>&quot;Pan, Xiang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:pan.xiang</uri> </author> <author> <name>&quot;Pang, Guochen&quot;</name> <uri>https://zbmath.org/authors/?q=ai:pang.guochen</uri> </author> <author> <name>&quot;Chen, Xiangyong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.xiangyong</uri> </author> <author> <name>&quot;Liu, Yang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.yang.7</uri> </author> <author> <name>&quot;Qiu, Jianlong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:qiu.jianlong</uri> </author> <author> <name>&quot;Cao, Jinde&quot;</name> <uri>https://zbmath.org/authors/?q=ai:cao.jinde</uri> </author> <content type="text">Summary: This paper employs an event-triggered control approach to investigate the simultaneous finite-time fault-tolerant control and disturbance rejection problem for stochastic Markovian jump systems with general transition probabilities. Firstly, in conjunction with the event-triggered mechanism, a novel composite observer is designed, which can not only simultaneously estimate states and faults as well as disturbances of the system, but also guarantee that the error system is stochastically finite-time bounded. Subsequently, leveraging the obtained estimations, an active fault-tolerant controller with anti-disturbance performance is constructed to guarantee the finite-time boundedness of closed-loop system. Finally, the effectiveness of the proposed scheme is verified by distinct examples.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">A guaranteed cost based memory event-triggered control of networked control systems with multiple disturbances via an interconnected disturbance observer approach</title> <id>https://zbmath.org/1553.93166</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93166" /> <author> <name>&quot;Huang, Tao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:huang.tao</uri> </author> <author> <name>&quot;Shen, Jie&quot;</name> <uri>https://zbmath.org/authors/?q=ai:shen.jie.6|shen.jie.2|shen.jie|shen.jie.1</uri> </author> <author> <name>&quot;Zhang, Zhihao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.zhihao</uri> </author> <author> <name>&quot;Shen, Mouquan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:shen.mouquan</uri> </author> <author> <name>&quot;Karimi, Hamid Reza&quot;</name> <uri>https://zbmath.org/authors/?q=ai:karimi.hamid-reza</uri> </author> <content type="text">Summary: This article is dedicated to event-triggered anti-disturbance control of networked control systems via a guaranteed cost triggering scheme. A distribution interconnected observer structure is built to estimate these unknown matched disturbances. A novel event triggered condition is constructed in terms of real-time cost and averaged functions composed of observer states and the last successfully transmitted one. A composite control scheme is provided by an event-triggered observer-based state feedback controller and compensators for the matched disturbances. A sufficient condition in term of linear matrix inequality is supplied to ensure the asymptotic stability of the resultant closed-loop system. A simulation is carried out to demonstrate the effectiveness of the proposed triggering control strategy. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Event-triggered consensus control for a class of uncertain multiple Euler-Lagrange systems with actuator faults</title> <id>https://zbmath.org/1553.93167</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93167" /> <author> <name>&quot;Li, Jian&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.jian.41|li.jian.4</uri> </author> <author> <name>&quot;Zhao, Wei&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhao.wei.10|zhao.wei.14|zhao.wei.3|zhao.wei|zhao.wei.7|zhao.wei.8|zhao.wei.22|zhao.wei.5|zhao.wei.6|zhao.wei.2|zhao.wei.11|zhao.wei.4|zhao.wei.9</uri> </author> <author> <name>&quot;Liang, Yuqi&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liang.yuqi</uri> </author> <author> <name>&quot;Wu, Zhaojing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wu.zhaojing</uri> </author> <author> <name>&quot;Zhao, Le&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhao.le</uri> </author> <content type="text">Summary: This paper is devoted to the event-triggered consensus control for a class of uncertain multiple Euler-Lagrange (EL) systems with actuator faults. Different from the related works where strict conditions are imposed on system uncertainties and the measurements of the leader's output, more serious uncertainties are involved since all the system dynamic matrices are unknown while both actuator faults and external disturbance are considered; and moreover, fewer measurements of the leader's output are required since its time derivatives are not necessarily available for feedback. Mainly because of these, the consensus problem is hard to solve by straightforwardly extending the existing results. To solve the control problem, a dynamic gain with a smart choice of its updating law is introduced to overcome the serious uncertainties and the sampling error of the control signal. By incorporating the dynamic gain into the vectorial backstepping procedure, an adaptive consensus controller joined with an event-triggered mechanism is designed for each follower to ensure the consensus of the multi-agent system in the sense that all the states of the closed-loop system are bounded while the output of each follower tracks the leader's output. Finally, the effectiveness of the proposed method is verified by a simulation example.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Event-triggered consensus tracking strategy for data-driven multi-agent systems under DoS attacks</title> <id>https://zbmath.org/1553.93169</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93169" /> <author> <name>&quot;Liu, Jinliang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.jinliang</uri> </author> <author> <name>&quot;Liu, Yipeng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.yipeng</uri> </author> <author> <name>&quot;Zha, Lijuan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zha.lijuan</uri> </author> <author> <name>&quot;Tian, Engang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:tian.engang</uri> </author> <author> <name>&quot;Xie, Xiangpeng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xie.xiangpeng</uri> </author> <content type="text">Summary: In this article, the event-triggered data-driven consensus problem is studied for multi-agent systems (MASs) with switching topologies under denial-of-service (DoS) attacks. Based on the model-free adaptive control (MFAC) approach, the controller is only correlated with the input/output (I/O) data of agents instead of the specific system model. First, the pseudo partial derivative (PPD) is employed to dynamically linearize the system model. Second, to save network bandwidth, an event-triggered scheme is introduced according to the I/O measurement and the output estimated error. Third, an attack compensation mechanism is adopted for the purpose of reducing the influence of DoS attacks. Then, a data-driven controller is designed to make the agents approach the desired trajectory on the basis of the estimation value of PPD. Moreover, by utilizing the Lyapunov stability theory, the tracking error is demonstrated to be convergent and the reliability of the controller is investigated. Finally, an example is simulated to verify the effectiveness of the consensus tracking strategy. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Model-free event-triggered distributed coordination control for dual-arm reconfigurable manipulators with unknown object constraints</title> <id>https://zbmath.org/1553.93170</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93170" /> <author> <name>&quot;Li, Yuanchun&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.yuanchun</uri> </author> <author> <name>&quot;Fan, Ruiming&quot;</name> <uri>https://zbmath.org/authors/?q=ai:fan.ruiming</uri> </author> <author> <name>&quot;Pan, Qiang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:pan.qiang</uri> </author> <author> <name>&quot;An, Tianjiao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:an.tianjiao</uri> </author> <author> <name>&quot;Zhu, Mingchao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhu.mingchao</uri> </author> <author> <name>&quot;Ma, Bing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ma.bing</uri> </author> <content type="text">Summary: In this paper, a model-free event-triggered distributed coordination control of dual-arm reconfigurable manipulators is presented for handling unknown object task. Firstly, based on Newton-Euler algorithm and kinematic analysis, the dynamic models of the dual-arm manipulators and grasped object are established, respectively. According to the load distribution method, the motion-induced force is effectively distributed to each arm. Then the dynamics of single-arm manipulator for handling task is obtained. Secondly, the adaptive algorithm based on gradient model is proposed to estimate the position of object's center of mass (COM). The fusion state variable function is improved to achieve coordination control, reflecting the tracking performance of the position and internal force. For the modeless reconfigurable manipulator, the radial basis function neural network (RBFNN)-based observer is utilized to approximate the uncertain dynamics. Further, the aperiodic model-free distributed coordination controller is obtained through event-triggered mechanism. Next, the uniformly ultimately bounded (UUB) stability of dual-arm reconfigurable manipulators system is proved through Lyapunov stability theory. Finally, the experimental results verify that the proposed coordination control approach is valid. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Distributed event-triggered consensus control for multi-agent systems under independent DoS attacks: a randomized transmission approach</title> <id>https://zbmath.org/1553.93175</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93175" /> <author> <name>&quot;Sun, Yuan-Cheng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:sun.yuancheng</uri> </author> <author> <name>&quot;Yao, Lina&quot;</name> <uri>https://zbmath.org/authors/?q=ai:yao.lina</uri> </author> <author> <name>&quot;Yang, Feisheng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:yang.feisheng</uri> </author> <author> <name>&quot;Lu, An-Yang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:lu.anyang</uri> </author> <content type="text">Summary: In this article, the consensus problem for disturbed multi-agent systems (MASs) under independent denial-of-service (DoS) attacks is investigated. The concerned attacks can jam different channels independently, resulting in a time-varying and unknown network topology. In this situation, a dynamic event-triggered control scheme with a hybrid communication strategy is presented to schedule information interaction over the network, and a distributed prediction-based control algorithm is proposed to ameliorate the resilience. The system stability is proved in present of DoS attacks by introducing the decay rates of Lyapunov functions associated with different connectivity modes. In comparison with the most existing MASs studies under DoS attacks, the triggering mechanism that possibly subject to the malicious attacks executed at the triggering times is protected by the proposed randomized transmission protocol, and the tolerable attack intensities are quantified. Finally, simulations are presented to substantiate that the proposed strategy is effective. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Event-triggered fault detector design in networked fuzzy control systems under denial-of-service attacks</title> <id>https://zbmath.org/1553.93176</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93176" /> <author> <name>&quot;Tan, Cheng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:tan.cheng</uri> </author> <author> <name>&quot;Ding, Tongtong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ding.tongtong</uri> </author> <author> <name>&quot;Chen, Ziran&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.ziran</uri> </author> <author> <name>&quot;Sun, Hongtao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:sun.hongtao</uri> </author> <content type="text">Summary: This article addresses the problem of designing an event-triggered fault detector within a networked nonlinear system described by a Takagi-Sugeno (T-S) fuzzy model, accounting for time-varying delays and denial-of-service (DoS) attacks characterized by a binary Markov chain. Our focus is on constructing an event-triggered residual system, which aims to detect malfunctions in the original fuzzy system while optimizing communication resource allocation. Specifically, it is tailored to combat DoS attacks in the event generator-to-fault detector channel and mitigate network-induced time-varying delays. Utilizing the Lyapunov-Krasovskii function approach, we formulate linear matrix inequalities to establish the necessary conditions ensuring the asymptotic mean-square stability of the residual system, meeting a predefined \(H_{\infty}\) performance criterion. Finally, the simulation results are presented to validate the effectiveness of the proposed algorithms. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Asynchronous event-triggered control for switched T-S fuzzy systems under dual-channel hybrid cyber attacks</title> <id>https://zbmath.org/1553.93177</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93177" /> <author> <name>&quot;Tan, Xiangtong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:tan.xiangtong</uri> </author> <author> <name>&quot;Li, Xiehuan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.xiehuan</uri> </author> <author> <name>&quot;Zong, Guangdeng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zong.guangdeng</uri> </author> <content type="text">Summary: This article presents an asynchronous event-triggered scheme for switched Takagi-Sugeno (T-S) fuzzy systems against dual-channel hybrid cyber attacks. Different from existing results, both sensor and controller channels are subjected to aperiodic denial-of-service attacks and random false data injection attacks. To efficiently utilize dual-channel network communication resources while resisting hybrid attacks, two resilient event-triggered mechanisms (ETMs) are constructed. Considering asynchronous ETMs and hybrid cyber attacks, the time-delay switched T-S fuzzy system is derived by utilizing model transformation methods. Thereby, the stability conditions are derived by utilizing multiple Lyapunov functions technique, and slack matrices are introduced to further relax the conditions. Finally, two examples are given to demonstrate the effectiveness of the developed event-based security control strategy. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Event-triggered leader-following consensus of multi-agent systems with guaranteed performance specifications</title> <id>https://zbmath.org/1553.93180</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93180" /> <author> <name>&quot;Wang, Hongfei&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.hongfei</uri> </author> <author> <name>&quot;Hou, Hailiang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hou.hailiang</uri> </author> <author> <name>&quot;Hu, Wenfeng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hu.wenfeng|hu.wenfeng.1</uri> </author> <content type="text">Summary: The article investigates the leader-following consensus problem for second-order multi-agent systems (MASs) with guaranteed performance specifications. First, some event-triggered strategies are introduced for systems with and without disturbances, which can effectively reduce the frequency of controllers' update and no Zeno-behavior is occurred. Especially, the self-triggered strategy proposed for MASs without disturbances does not require continuous communication between agents. Second, based on Lyapunov theory, we have demonstrated that the proposed distributed controllers can achieve the predefined performance specifications of the system, that is, the position tracking error can meet the steady-state error accuracy requirements within an appointed time, while ensuring that the cumulative position difference (CPD) converges to the region specified by the performance function. Finally, the effectiveness of the theoretical results is demonstrated through simulation experiments. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Asynchronous nonfragile guaranteed performance control for singular switched positive systems: an event-triggered mechanism</title> <id>https://zbmath.org/1553.93181</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93181" /> <author> <name>&quot;Wang, Jinling&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.jinling</uri> </author> <author> <name>&quot;Li, Qiang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.qiang.3</uri> </author> <author> <name>&quot;Li, Shuo&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.shuo</uri> </author> <author> <name>&quot;Zhang, Linzhong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.linzhong</uri> </author> <content type="text">Summary: This paper addresses the guaranteed performance control problem for a class of singular switched positive systems, where the switching signal is subject to a state-dependent process. Firstly, the causality, regularity, positivity, and asymptotical stability of the considered systems are discussed. In order to prevent the occurrence of data collisions and reduce the consumption of communication resources, the event-triggered (E-T) mechanism is applied. This is one of the initial attempts to introduce the E-T scheme for such special systems. Besides, an asynchronous nonfragile controller under the E-T scheduling scheme is designed to make certain that the resulting closed-loop systems are causal, regular, positive, asymptotically stable, and have a guaranteed performance value \(J^{\ast}\). Through the application of the co-positive Lyapunov function method and the min-projection strategy, the corresponding sufficient conditions are given in the form of linear programming (LP). Finally, the effectiveness of the controller proposed in this paper is verified via two simulation examples. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Dynamic event-triggered leader-following bipartite consensus of second-order multi-agent systems under DoS attacks</title> <id>https://zbmath.org/1553.93182</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93182" /> <author> <name>&quot;Wang, Xiao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.xiao.7|wang.xiao.14|wang.xiao.2|wang.xiao.5|wang.xiao.3|wang.xiao.4|wang.xiao.6|wang.xiao|wang.xiao.8</uri> </author> <author> <name>&quot;Liu, Jian&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.jian.20</uri> </author> <author> <name>&quot;Wu, Yongbao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wu.yongbao</uri> </author> <author> <name>&quot;Sun, Changyin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:sun.changyin</uri> </author> <content type="text">Summary: This article investigates the bipartite secure consensus of the second-order leader-follower multi-agent systems (MASs) against aperiodic denial of service (DoS) attacks. First, a new dynamic event-triggered strategy is proposed for the consensus control. Compared with the static event-triggered strategy, the dynamic event-triggered protocol can reduce the trigger times and save resources by introducing an internal dynamic variable. Different from the secure consensus results which only discussed the cooperative links, based on the theory of the structurally balanced graph, this article considers cooperative and antagonistic interactions among agents simultaneously for complex behaviors of them. Besides, the characteristics of the DoS attacks are analyzed in detail and the secure consensus is achieved by utilizing the Lyapunov theory and inductive methods. Finally, the Zeno behavior is excluded and the availability of the designed algorithms is demonstrated by numerical simulations. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Distributed event-triggered fixed-time formation tracking control for multi-spacecraft systems based on adaptive immersion and invariance technique</title> <id>https://zbmath.org/1553.93183</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93183" /> <author> <name>&quot;Wu, Xia&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wu.xia</uri> </author> <author> <name>&quot;Wei, Caisheng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wei.caisheng</uri> </author> <author> <name>&quot;Wang, Zheng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.zheng.6</uri> </author> <author> <name>&quot;Ning, Xin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ning.xin</uri> </author> <content type="text">Summary: In this study, the problem of fixed-time formation tracking for multi-spacecraft systems without internal collisions was investigated. Aiming to ensure that the formation members can accurately realize and maintain the required configuration within the user-given time, we designed a novel adaptive immersion and invariance (I\&amp;I)-based control protocol. The novelty here lies in two aspects. First and foremost, this study was based on the adaptive I\&amp;I technique, combined with a new artificial potential function, to achieve the desired formation tracking without internal collision. Second, unlike the asymptotic convergence of the traditional I\&amp;I-related works, to guarantee the fixed-time stability, the proposed protocol introduced the prescribed performance control, which can also alleviate the possible system performance degradation caused by the non-periodic control signal update of the event-triggered mechanism. Further, the introduction of the event-triggered mechanism can reduce the unnecessary information interaction. Lyapunov stability analysis shows that this proposed protocol can enable the defined implicit manifold to converge to the origin for the most initial conditions. Also, benefiting from the prescribed performance techniques, the convergence time can eliminate the dependence of the system on designed controller parameters or initial system conditions, relying only on the actual mission requirements. In addition, we adopted a linear extended state observer to deal with the parameter uncertainties and external disturbances, and used the I\&amp;I adaption to estimate the observer errors, thus further improving the system performance. Moreover, a new exponential-type artificial potential function was designed to avoid close proximity between formation members and prevent internal collisions. Finally, numerical simulations were conducted to verify the theoretical results. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Stabilization of discrete-time 2-D switched systems: a state-segmentation-based event-triggered mechanism</title> <id>https://zbmath.org/1553.93184</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93184" /> <author> <name>&quot;Xu, Xiaozeng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xu.xiaozeng</uri> </author> <author> <name>&quot;Li, Yang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.yang.6</uri> </author> <author> <name>&quot;Zhang, Hongbin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.hongbin</uri> </author> <content type="text">Summary: This article addresses the event-triggered control issue for two-dimensional (2-D) discrete-time switched systems represented by both the Fornasini-Marchesini local state-space model and the Roesser model. The presence of 2-D properties poses several challenges in selecting states for transport. Unlike existing event-triggered generators, this article leverages the unique characteristics of 2-D switched systems by dividing the system state into ``horizontal'' and ``vertical'' states. The segmented state is then transmitted at ``necessary'' two-dimensional moments to minimize the amount of transmitted data. Furthermore, a state feedback controller, consisting of transferred horizontal and vertical states, is designed corresponding to the event-triggered generator. By introducing average dwell time with the switching Lyapunov functional method, sufficient stabilization conditions are derived for the considered system. Finally, the proposed approach's effectiveness and improvement are illustrated by an example. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Event-triggered output quantization control for asynchronously switched interval type-2 fuzzy systems</title> <id>https://zbmath.org/1553.93185</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93185" /> <author> <name>&quot;Yang, Yachun&quot;</name> <uri>https://zbmath.org/authors/?q=ai:yang.yachun</uri> </author> <author> <name>&quot;Li, Xiaodi&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.xiaodi</uri> </author> <author> <name>&quot;Liu, Xinzhi&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.xinzhi</uri> </author> <content type="text">Summary: This article considers exponential stabilization (ES) of switched interval type-2 (SIT2) fuzzy systems with asynchronous switching control. The SIT2 fuzzy system switches from one mode to another according to transition probabilities (TPs). A general SIT2 fuzzy quantized event-triggered output controller (QETOC) is designed to save the communication resources. The QETOC employs distinctive membership functions from those of the IT2 fuzzy model and switches with mode-pendent switching delay, which is more practical than asynchronously switched control techniques with a common switching delay and control schemes without TP. By designing discretized multiple Lyapunov function (DMLF) and using convex combination technique, sufficient conditions formulated by linear matrix inequalities (LMIs) are obtained to ensure that the DMLF does not `jump high' at the moment of switching, and hence the conservatism of obtained results is significantly reduced since no additional dwell time is needed for the stabilization. It is discovered that the SIT2 fuzzy system is not necessary to be unstable on mismatched intervals, and it can be unstable on matched intervals. The advantages of theoretical analysis are verified by numerical simulations, and the classical assumption that each subsystem is unstable on mismatched intervals is conservative for control design. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Concurrent event-triggered adaptive neural control for MASS under cross-water scenarios</title> <id>https://zbmath.org/1553.93186</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93186" /> <author> <name>&quot;Ye, Xiang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ye.xiang.2</uri> </author> <author> <name>&quot;Chen, Chao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.chao.3|chen.chao</uri> </author> <author> <name>&quot;Zhu, Guibing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhu.guibing</uri> </author> <author> <name>&quot;Hu, Xin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hu.xin.2|hu.xin</uri> </author> <content type="text">Summary: This article discusses the control problem of marine autonomous surface ships (MASS) under cross-water scenarios, that is, from open water to restricted water, where several practical facts, such as uncertain dynamic, unknown disturbance and actuator wear suppression, are taken into account. To resolve such a control design challenge, the predefined performance control (PPC)-based and barrier Lyapunov function (BLF)-based ideas are employed, and a prespecified performance function (PPF) is designed to implement the transformation of cross-water design. Under the adaptive backstepping design framework, with aid of PPC-based and BLF-based design ideas, an adaptive neural control solution is developed for MASS under cross-water scenarios. Furthermore, to reduce the actuator wear and tear caused by high-frequency corresponding control commands and hull vibration, a new multichannel concurrent event-triggered protocol (ETP) is constructed in the controller-actuator (C-A) channel. Finally, a concurrent event-triggered adaptive neural control scheme is proposed for MASS under cross-water scenarios. The theoretical analysis indicates that all signals in the control system are ultimately bounded, and the Zeno behavior is avoided. The simulation and comparison results verify the effectiveness and superiority of the developed control scheme. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Dynamic event-triggered asynchronous output feedback control for discrete-time switched systems with deception attacks</title> <id>https://zbmath.org/1553.93191</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93191" /> <author> <name>&quot;Zhao, Dongke&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhao.dongke</uri> </author> <author> <name>&quot;Zhang, Huiyan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.huiyan</uri> </author> <author> <name>&quot;Li, Liya&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.liya</uri> </author> <author> <name>&quot;Zhao, Ning&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhao.ning.1</uri> </author> <content type="text">Summary: This article addresses the problem of dynamic event-triggered asynchronous output feedback controller design for discrete-time switched systems under deception attacks. To conserve communication resources and restrict asynchronous time, a dynamic event-triggered mechanism is established which permits the system to switch many times in the trigger interval. Then, stability criteria for the underlying system despite the impact of deception attacks are obtained via the Lyapunov function and average dwell time method. Meanwhile, a co-design scheme for dynamic output feedback gains and dynamic event-triggered parameters are provided. Finally, two simulations are used to demonstrate the effectiveness of the approach. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Practical prescribed time tracking control for a class of nonlinear systems with event triggering and output constraints</title> <id>https://zbmath.org/1553.93194</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93194" /> <author> <name>&quot;Zou, Fangling&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zou.fangling</uri> </author> <author> <name>&quot;Wu, Kang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wu.kang</uri> </author> <content type="text">Summary: This paper investigates the practical prescribed time tracking for a class of uncertain nonlinear systems based on neural networks and event-triggered control. Introducing a time-varying constraint function transforms the original practical prescribed time-tracking control issue into a tracking error constraint problem. An event-triggered adaptive control has been proposed, which can effectively reduce the communication burden between the controller and the actuator. Using neural networks to approximate unknown nonlinear functions avoids the differentiation of virtual controllers, thereby reducing the computational burden. In addition, users can independently choose preset time and tracking accuracy without changing the control structure, which remains independent of the initial conditions and any design parameters. Finally, the effectiveness of this method is verified through simulation examples. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Finite-time trajectory tracking control for unmanned ground vehicle based on finite-time disturbance observer</title> <id>https://zbmath.org/1553.93195</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93195" /> <author> <name>&quot;Hu, Xiangyu&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hu.xiangyu-y</uri> </author> <author> <name>&quot;Chen, Jian&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.jian.4</uri> </author> <author> <name>&quot;Lv, Chengxing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:lv.chengxing</uri> </author> <author> <name>&quot;Zhang, Ziye&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.ziye</uri> </author> <author> <name>&quot;Wang, Yanqian&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.yanqian</uri> </author> <content type="text">Summary: This paper studies the trajectory tracking problems of unmanned ground vehicle with model uncertainties and external disturbances. We propose a finite-time control method, in which the uncertainty and disturbance compensating is considered. To match the real motion scenarios of vehicles, the Frenet-coordinate system is used and the error dynamics equation is constructed. A new type of coordinate transformation is adopted to simplify the calculation of finite-time stability. Further, we design a new finite-time disturbance observer to deal with the model uncertainties and external disturbances. Based on this observer, the finite-time trajectory tracking controller is constructed by using a new integral-type Lyapunov function. It is theoretically proved that all tracking errors in the closed-loop system are finite-time stable. To verify the feasibility, simulation on the unmanned ground vehicle has been conducted.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Fixed-time anti-disturbance control for nonlinear turbofan engine with impulsive prescribed performance</title> <id>https://zbmath.org/1553.93196</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93196" /> <author> <name>&quot;Liu, Fan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.fan</uri> </author> <author> <name>&quot;Chen, Mou&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.mou</uri> </author> <author> <name>&quot;Li, Tao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.tao.3</uri> </author> <content type="text">Summary: To analyze the robust control problem of turbofan engine within a large flight envelope, a fixed-time prescribed performance control scheme is proposed for the nonlinear turbofan engine in presence of unknown disturbances and possibly discontinuous reference signals. Firstly, the equilibrium manifold expansion (EME) modeling method is adopted for the turbofan engine to construct an affine nonlinear model. Then, considering the possibly discontinuous reference signals, a novel fixed-time prescribed performance function (FxTPPF) with impulsive characteristic is presented to successfully deal with the singularity problem caused by its discontinuity situation. In what follows, a fixed-time nonlinear disturbance observer (FxTNDO) is developed to realize fast estimation of disturbances within fixed time. According to the transformed error system and disturbance estimations, a fixed-time anti-disturbance composite controller is further developed. By borrowing Lyapunov stability theory, the boundedness of all error signals in the impulsive closed-loop system is proved. Finally, simulation results indicate that this control scheme can ensure rotor speeds effectively to track the desired commands within a predefined time after the appearance of a discontinuity and the tracking errors are limited to the performance bound all along.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Performance-guaranteed prescribed-time bipartite consensus of networked Lagrangian agents with bounded inputs and signed digraphs</title> <id>https://zbmath.org/1553.93198</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93198" /> <author> <name>&quot;Ding, Teng-Fei&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ding.teng-fei</uri> </author> <author> <name>&quot;Gong, Sheng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:gong.sheng.1</uri> </author> <author> <name>&quot;Ge, Ming-Feng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ge.mingfeng</uri> </author> <author> <name>&quot;Liu, Zhi-Wei&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.zhiwei</uri> </author> <author> <name>&quot;Fang, Zhe-Mei&quot;</name> <uri>https://zbmath.org/authors/?q=ai:fang.zhe-mei</uri> </author> <content type="text">Summary: In this paper, two kinds of hierarchical time-limited control (HTLC) algorithms with the ability to avoid singularities and simple parameter setting rules are proposed to achieve the bipartite consensus of Networked Lagrange Agents (NLAs), where each agent refers to external disturbances, dynamics uncertainties and bounded inputs. Each HTCL algorithm includes time-limited estimator and prescribed-time local controller. Specially, the HTCL algorithm is developed by combining error transformation and prescribed-time sliding surface. We formally demonstrate that all the states approach the neighborhood of the origin within the prescribed-time, where the settling time can be set only by selecting one parameter. The numerical examples verify the theoretical result.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Fast fixed-time extended state observer based command filtering backstepping control of free-flying flexible-joint space robots</title> <id>https://zbmath.org/1553.93202</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93202" /> <author> <name>&quot;Hong, Mengqing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hong.mengqing</uri> </author> <author> <name>&quot;Gu, Xiutao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:gu.xiutao</uri> </author> <author> <name>&quot;Xia, Lingling&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xia.lingling</uri> </author> <author> <name>&quot;Guo, Yu&quot;</name> <uri>https://zbmath.org/authors/?q=ai:guo.yu</uri> </author> <content type="text">Summary: System parameter perturbations, external disturbances, and input saturation issues seriously affect the on-orbit operation precision and rapid response capabilities of the free-flying flexible-joint space robots (FFSR). To this end, a fixed-time extended state observer (ESO) based non-singular command filtering backstepping controller is proposed. The fast fixed-time ESO is designed to estimate the parameter perturbations and external disturbances. To avoid the ``computational explosion'' caused by multiple derivatives of the virtual control law in backstepping control, a second-order command filter is employed to obtain the derivative of virtual control laws. Meanwhile, to reduce the filtering errors induced by the command filter, a non-singular fixed-time filtering error compensation algorithm is developed. Furthermore, considering the constraints of control moment gyroscope (CMG) and joint motors, an anti-saturation compensation algorithm is introduced to drive the system out of the saturated region rapidly, thus reducing actuator saturation effects on the control system performance. Theoretical analysis shows the proposed controller can ensure the system tracking error converges to any arbitrarily small neighborhood of the origin within fixed time. Simulation results demonstrate that the designed non-singular fixed-time command filtering backstepping controller exhibits fast convergence speed and high tracking accuracy.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Accurate trajectory tracking control for AUV under state constraints with a rapid stability dimensionality-augmented state observer</title> <id>https://zbmath.org/1553.93207</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93207" /> <author> <name>&quot;Wang, Jianhui&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.jianhui</uri> </author> <author> <name>&quot;Wang, Haoyuan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.haoyuan</uri> </author> <author> <name>&quot;Hu, Zikai&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hu.zikai</uri> </author> <author> <name>&quot;Liu, Jiarui&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.jiarui</uri> </author> <author> <name>&quot;Chen, Kairui&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.kairui</uri> </author> <content type="text">Summary: A rapid stability dimensionality-augmented state observer (RSDASO) based event-driven control strategy is presented for the autonomous underwater vehicle (AUV) trajectory tracking issue, addressing state constraints, model uncertainty, limited communication resources and unknown external time-varying disturbances. The first step is to develop a fast stability extended state observer to estimate the lumped disturbances and unmeasurable states of the system and ensure the estimation error converges in fixed time. Secondly, a fixed-time AUV trajectory tracking control method is proposed to ensure that the tracking error of the system converges within a fixed time, based on the mentioned observer. Simultaneously, to reduce the communication resource usage by the system, an event-triggered mechanism (ETM) is included in the control law. Lastly, simulation experiments verify the effectiveness of the process. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Delay-dependent stability criteria for LFC systems with electric vehicles: a delay-interval-based piecewise Lyapunov functional approach</title> <id>https://zbmath.org/1553.93209</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93209" /> <author> <name>&quot;Chen, Yun&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.yun.2</uri> </author> <author> <name>&quot;Li, Yaqi&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.yaqi</uri> </author> <author> <name>&quot;Chen, Gang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.gang.14</uri> </author> <content type="text">Summary: This paper studies the delay-dependent stability problem of single-area load frequency control (LFC) systems with electric vehicles. A novel Lyapunov-Krasovskii functional (LKF), called the delay-interval-based piecewise Lyapunov functional, is introduced. This innovative LKF approach allows for the construction of distinct LKFs within specific delay intervals, relaxing the requirement that a single LKF must exist for the entire delay interval. By incorporating the zero equation method, less conservatism delay-dependent stability criteria for LFC systems are obtained. Simulations are performed to illustrate the effectiveness and superiority of the presented methods.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Data-driven stabilization of nonlinear systems via Taylor's expansion</title> <id>https://zbmath.org/1553.93210</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93210" /> <author> <name>&quot;Guo, Meichen&quot;</name> <uri>https://zbmath.org/authors/?q=ai:guo.meichen</uri> </author> <author> <name>&quot;De Persis, Claudio&quot;</name> <uri>https://zbmath.org/authors/?q=ai:de-persis.claudio</uri> </author> <author> <name>&quot;Tesi, Pietro&quot;</name> <uri>https://zbmath.org/authors/?q=ai:tesi.pietro</uri> </author> <content type="text">Summary: Lyapunov's indirect method is one of the oldest and most popular approaches to model-based controller design for nonlinear systems. When the explicit model of the nonlinear system is unavailable for designing such a linear controller, finite-length off-line data is used to obtain a data-based representation of the closed-loop system, and a data-driven linear control law is designed to render the considered equilibrium locally asymptotically stable. This work presents a systematic approach for data-driven linear stabilizer design for continuous-time and discrete-time general nonlinear systems. Moreover, under mild conditions on the nonlinear dynamics, we show that the region of attraction of the resulting locally asymptotically stable closed-loop system can be estimated using data. For the entire collection see [Zbl 1537.93005].</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Lyapunov stability analysis of an RMRAC-based adaptive sigmoid super-twisting sliding mode under matched and unmatched uncertainties</title> <id>https://zbmath.org/1553.93211</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93211" /> <author> <name>&quot;Vieira Hollweg, Guilherme&quot;</name> <uri>https://zbmath.org/authors/?q=ai:vieira-hollweg.guilherme</uri> </author> <author> <name>&quot;Dias de Oliveira Evald, Paulo Jefferson&quot;</name> <uri>https://zbmath.org/authors/?q=ai:dias-de-oliveira-evald.paulo-jefferson</uri> </author> <author> <name>&quot;Grundling, Hilton Ab铆lio&quot;</name> <uri>https://zbmath.org/authors/?q=ai:grundling.hilton-abilio</uri> </author> <author> <name>&quot;Su, Wencong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:su.wencong</uri> </author> <content type="text">Summary: This article presents a discrete-time robust model reference adaptive controller and adaptive sigmoid super-twisting sliding mode (RMRAC-ASSTSM) and its stability analysis using Lyapunov stability theory. This control structure is robust to matched and unmatched dynamics. In addition, the chattering phenomenon tends to be suppressed in the steady state due to adaptive super-twisting sliding mode action using a sigmoid function. The performance of the proposed control structure is corroborated with simulation results, considering a second-order non-minimum phase unstable plant, where it can be seen that RMRAC-ASSTSM regulation errors converge to a finite residual set when the plant presents unmodeled dynamics. A comparison is also presented with a similar RMRAC-based control structure with an adaptive super-twisting sliding mode implemented with a sign function. {\copyright} 2024 The Author(s). \textit{International Journal of Robust and Nonlinear Control} published by John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Reversing along a curved path by an autonomous truck-semitrailer combination</title> <id>https://zbmath.org/1553.93212</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93212" /> <author> <name>&quot;Mih谩lyi, Levente&quot;</name> <uri>https://zbmath.org/authors/?q=ai:mihalyi.levente</uri> </author> <author> <name>&quot;Tak谩cs, D茅nes&quot;</name> <uri>https://zbmath.org/authors/?q=ai:takacs.denes</uri> </author> <content type="text">Summary: In this paper, the stability analysis of the reverse motion along a circular path is presented for the truck-semitrailer combination. The dynamics of the low-speed maneuver are investigated with the single track kinematic model, supplemented with the model of the steering system. The time delay emerging in the control loop is also considered. The actuation is achieved by the steering of the truck, for which a linear feedback controller is designed to ensure the stability of the motion; meanwhile, a geometry-based feedforward steering angle is also used to force the system to the desired path. Linear stability charts are calculated in order to properly tune the control gains of the feedback controller with respect to the curvature of the path. For the entire collection see [Zbl 1537.93004].</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Gain tuning of a homogeneous controller and robustification by output feedback</title> <id>https://zbmath.org/1553.93213</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93213" /> <author> <name>&quot;Sanchez, Tonametl&quot;</name> <uri>https://zbmath.org/authors/?q=ai:sanchez.tonametl</uri> </author> <author> <name>&quot;Zavala-R铆o, Arturo&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zavala-rio.arturo</uri> </author> <content type="text">Summary: In this paper we provide the explicit condition on the gains of a family of homogeneous controllers that guarantees oscillatory or non-oscillatory transient behavior of the system trajectories for a class of undisturbed second order systems. We also prove that a useful scaling of the gains does not modify the designed transient behavior. For the disturbed case, the homogeneous controller is inserted in a homogeneous output-feedback control scheme that guarantees finite-time stability of the origin despite the external disturbance and the model uncertainties. Additionally, for a particular disturbed case, we verify that the output-feedback controller recovers the performance from the undisturbed case. The usefulness of the controller is validated on an experimental electronic setup.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Stabilization for 2-D switched T-S fuzzy systems under the state-dependent switching</title> <id>https://zbmath.org/1553.93214</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93214" /> <author> <name>&quot;Xu, Xiaozeng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xu.xiaozeng</uri> </author> <author> <name>&quot;Zheng, Qunxian&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zheng.qunxian</uri> </author> <author> <name>&quot;Li, Yang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.yang.6</uri> </author> <author> <name>&quot;Zhang, Hongbin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.hongbin</uri> </author> <content type="text">Summary: This study focuses on the analysis of stability and stabilization for a class of two-dimensional (2-D) discrete-time switched systems. Owing to the inherent uncertainty and nonlinearity in real-world engineering systems, the Takagi-Sugeno (T-S) fuzzy model is employed to describe the dynamics of the 2-D switched system. The discussion encompasses two primary models for the 2-D discrete-time switched T-S fuzzy system (2DSTSFS), specifically the Roesser model and the Fornasini-Marchesini local state-space model. For 2DSTSFSs, this paper delineates sufficient stability criteria that utilize a state-dependent switching signal, facilitated by the application of the Lyapunov-Metzler inequality, ensuring that state trajectories are globally attracted. Furthermore, the paper articulates sufficient conditions for the stabilization of the 2DSTSFS. Additionally, it elucidates the transformation relationship between the two models. To corroborate the theoretical findings, a practical example is employed, demonstrating the applicability of the proposed theorems.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Discrete event-triggered security control for Markovian CVNNs with additive time-varying delays under random deception attacks</title> <id>https://zbmath.org/1553.93215</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93215" /> <author> <name>&quot;Zhang, Haiyang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.haiyang</uri> </author> <author> <name>&quot;Xiong, Lianglin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xiong.lianglin</uri> </author> <author> <name>&quot;Chang, Hongxing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chang.hongxing</uri> </author> <author> <name>&quot;Cao, Jinde&quot;</name> <uri>https://zbmath.org/authors/?q=ai:cao.jinde</uri> </author> <author> <name>&quot;Yi, Zhang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:yi.zhang|yi.zhang.1</uri> </author> <content type="text">Summary: This paper is concerned with the security stabilization problem for a class of Complex-valued Neural Networks (CVNNs) with Markov Jump Parameters (MJPs) and Additive Time-varying Delays (ATVDs) under Random Deception Attacks (RDAs). Different from the existing literature, the instant and strength of RDAs considered in this paper is both random, which is more in line with the real situation. Secondly, a general Lyapunov-Krasovskii Functional (LKF) contains more information about MJPs and ATVDs is constructed, and a new Complex-valued Reciprocally Convex Inequality (CVRCI) containing more free matrices and ATVDs parameters is proposed, which play a key role in reducing the conservativeness of security stabilization criteria. Thirdly, a Discrete Event-triggered Mechanism (DETM) is introduced to mitigate the transmission burden of communication networks, in which the triggering condition of DETM mainly relies on the current sampled state and the last triggered state. Then, by combining with the LKF, CVRCI, DETM, and other analysis techniques, some less conservative security stabilization criteria for the underlying systems are provided in terms of Linear Matrix Inequalities (LMIs). Finally, the effectiveness of our results are verified by two numerical examples and a practical example.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Robust \(H_\infty\) stabilization for systems with uncertain input time-delay</title> <id>https://zbmath.org/1553.93216</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93216" /> <author> <name>&quot;Zheng, Yuan-Guang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zheng.yuanguang</uri> </author> <author> <name>&quot;Zhao, Yan-Ying&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhao.yanying</uri> </author> <content type="text">Summary: This paper presents a robust \(H_\infty\) stabilization approach for actively controlled systems that include uncertain input time-delay. The approach comprises two essential steps: (1) converting a controlled system with uncertain time-delay to have only deterministic time-delay through a time-scale transformation; and (2) applying the Chebyshev spectral continuous time approximation (CHsCTA) method and defining appropriate extension matrices to transform the system so there are no time-delays. A robust \(H_\infty\) control design is implemented on the transformed system, which facilitates the derivation of a robust \(H_\infty\) controller. An iterative algorithm is proposed for computing the feedback gain matrix, which overcomes the challenges posed by the nonlinear coupling terms when solving the matrix inequalities. Case studies validate the effectiveness of the proposed control algorithm, which, through comparison with existing control algorithms, is shown to be less conservative.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Improved synthesis of saturating sampled-data control laws for linear plants</title> <id>https://zbmath.org/1553.93217</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93217" /> <author> <name>&quot;Fagundes, Arthur Scolari&quot;</name> <uri>https://zbmath.org/authors/?q=ai:fagundes.arthur-scolari</uri> </author> <author> <name>&quot;da Silva, Jo茫o Manoel Gomes jun.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:da-silva.joao-manoel-gomes-jun</uri> </author> <author> <name>&quot;Jungers, Marc&quot;</name> <uri>https://zbmath.org/authors/?q=ai:jungers.marc</uri> </author> <content type="text">Summary: The focus of this chapter is the stabilization of linear systems under saturating aperiodic sampled-data control. By employing a hybrid system representation, we establish conditions for the local and global stability of the origin of the closed-loop system using a specific class of quadratic timer (clock) dependent Lyapunov functions. These conditions are formulated as sum-of-squares constraints within optimization problems, enabling the design of stabilizing control laws that aim to maximize an estimate of the region of attraction to the origin (RAO) or to maximize the admissible interval between two sampling instants in order to ensure that a certain given set of initial conditions is included in the RAO. For the entire collection see [Zbl 1537.93005].</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">An optimization-based method for robust stabilization of linear delay systems</title> <id>https://zbmath.org/1553.93218</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93218" /> <author> <name>&quot;Hu, Renhong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hu.renhong</uri> </author> <author> <name>&quot;Mei, Jie&quot;</name> <uri>https://zbmath.org/authors/?q=ai:mei.jie</uri> </author> <author> <name>&quot;Ma, Guangfu&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ma.guangfu</uri> </author> <content type="text">Summary: This paper investigates the robust stabilization problem of linear delay systems with parametric uncertainty. First, by means of the argument principle, a delay-dependent sufficient condition is derived for designing a feedback controller, with which the closed-loop system can achieve robust stability. Then, based on the fundamental matrix of the linear delay systems, a constrained optimization problem is formulated for solving the feedback gain matrices. The effectiveness of the proposed method is verified by some simulation results. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Stabilization of LTI systems with both uncertainties and external disturbances via DE-based control method</title> <id>https://zbmath.org/1553.93219</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93219" /> <author> <name>&quot;Xu, Ruimin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xu.ruimin</uri> </author> <author> <name>&quot;Wang, Xiaolong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.xiaolong</uri> </author> <author> <name>&quot;Sun, Keran&quot;</name> <uri>https://zbmath.org/authors/?q=ai:sun.keran</uri> </author> <author> <name>&quot;Guo, Rongwei&quot;</name> <uri>https://zbmath.org/authors/?q=ai:guo.rongwei</uri> </author> <content type="text">Summary: This paper is concerned with the stabilization of linear time-invariant (LTI) systems with unknown parameters and external disturbances. Firstly, four types of suitable filters are presented and applied to achieve the accuracy estimate of the disturbances. Based on these filters, four types of disturbance estimators are designed and used to asymptotically cancel the corresponding disturbances. Secondly, an adaptive disturbance estimator (DE)-based control method is obtained by combining the adaptive control method with the DE-based control method. It is noted that the algebraic representation of the adaptive feedback control law is given in a more concise form by the tool of the semi-tensor product of matrix. Further, the stabilization of LTI systems is achieved by the obtained adaptive DE-based control method. Finally, three numerical examples with computer simulation are provided to verify the correctness and validity of the obtained theoretical methods.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Adaptive fixed-time stabilization for high-order uncertain nonlinear systems with unknown measurement sensitivities</title> <id>https://zbmath.org/1553.93220</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93220" /> <author> <name>&quot;Zhang, Liuliu&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.liuliu</uri> </author> <author> <name>&quot;Zhang, Han&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.han.2|zhang.han.3|zhang.han.5|zhang.han.1</uri> </author> <author> <name>&quot;Qian, Cheng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:qian.cheng</uri> </author> <author> <name>&quot;Hua, Changchun&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hua.changchun</uri> </author> <content type="text">Summary: This paper investigates the adaptive fixed-time stabilization problem for a class of uncertain high-order nonlinear systems with unknown measurement sensitivities and unknown control magnitude. Compared to existing practical fixed-time control approaches, our control strategy is capable of driving all states of uncertain high-order systems to the origin within a fixed time, rather than just ensuring their boundedness. Additionally, this study relaxes the restrictions on the nonlinear functions of the system, while overcoming challenges such as unknown control magnitude and unknown measurement sensitivity without prior boundaries. To achieve the control objectives, our control strategy consists of two main steps. Firstly, we divide the initial value of the high-order system into two cases, and construct adaptive controllers separately for each case by adding a power integral technique and backstepping method. Subsequently, the reliance of the stability time of the closed-loop high-order system on the initial value is eliminated by designing an appropriate controller switching mechanism. Finally, we provide a simulation example to validate the effectiveness of our control strategy.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Exponential stability of neutral hybrid nonlinear systems via aperiodically intermittent stochastic noise: average skills</title> <id>https://zbmath.org/1553.93221</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93221" /> <author> <name>&quot;Zhang, Chenxi&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.chenxi</uri> </author> <author> <name>&quot;Zhu, Quanxin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhu.quanxin</uri> </author> <author> <name>&quot;Wang, Zengyun&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.zengyun</uri> </author> <content type="text">Summary: In this paper, exponential stabilization criteria for neutral hybrid nonlinear systems are established via aperiodically intermittent stochastic noise on the basis of average skills. By the It么 formula and M-matrix method, we prove that the neutral hybrid nonlinear systems via aperiodically intermittent stochastic noise is \(p\)th moment exponentially stable and almost surely exponentially stable. Under the average skills, the delay \(\tau\) is no longer subject to the minimum control upper bound, but it is controlled by the average noise control rate (ANCR)\( \theta\) and the average noise control period (ANCP)\(T\). Lastly, two examples are presented to illustrate our theories.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Dupire It么's formula for the exponential synchronization of stochastic semi-Markov jump systems with mixed delay under impulsive control</title> <id>https://zbmath.org/1553.93222</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93222" /> <author> <name>&quot;Zhang, Ning&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.ning.6</uri> </author> <author> <name>&quot;Wang, Haodong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.haodong</uri> </author> <author> <name>&quot;Li, Wenxue&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.wenxue</uri> </author> <content type="text">Summary: This paper emphasizes the exponential synchronization for a class of stochastic semi-Markov jump systems with mixed delay via stochastic hybrid impulsive control. The impulsive sequence includes synchronous and asynchronous impulses with the impulsive gains being a sequence of stochastic variables. Inspired by the idea of average, a concept of ``average stochastic impulsive gain'' is used to qualify the impulse intensity. Our approach expands Dupire functional It么's formula to the stochastic semi-Markov jump systems with mixed delay for the first time. Moreover, in view of the established Lyapunov functional, graph theory, and stochastic analysis theory, some exponential synchronization criteria for the systems are derived. The theoretical results are applied to a class of Chua's circuit systems with semi-Markov jump and mixed delay. Some synchronization criteria for the circuit systems are provided. The simulation results verify the effectiveness of the theoretical results.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Input-to-state stability of impulsive stochastic systems with state-dependent impulses and regime-switching</title> <id>https://zbmath.org/1553.93223</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93223" /> <author> <name>&quot;Kuang, Daipeng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:kuang.daipeng</uri> </author> <author> <name>&quot;Gao, Dongdong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:gao.dongdong</uri> </author> <author> <name>&quot;Li, Jianli&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.jianli</uri> </author> <content type="text">Summary: This article introduces a unified criterion for input-to-state stability (ISS), integral input-to-state stability (iISS) and \(e^{\sigma t}\)-input-to-state stability (\(e^{\sigma t}\)-ISS) of impulsive stochastic system with switching. The criterion demonstrates that the premise of a switching-impulse system to achieve three types of ISS is that a mutually constraining relationship between switching, impulse and continuous dynamics needs to be satisfied. Furthermore, using it we know that switching can stabilize a system containing stabilizing factors by affecting both continuous dynamics and impulses, that switching itself is one of the factors in system instability, and that impulses have a dual effect on the stability of the system. The coefficients of the upper bound of Lyapunov functional differential operators are time-varying functions and the impulses contain stable and unstable impulses, including the case of constants, which advances and improves the existing results. Finally, an example and its simulation results are given to verify the validity of theoretical analysis. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Set input-to-state stability for nonlinear time-delay systems with disturbances</title> <id>https://zbmath.org/1553.93224</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93224" /> <author> <name>&quot;Sinha, Pallavi&quot;</name> <uri>https://zbmath.org/authors/?q=ai:sinha.pallavi</uri> </author> <author> <name>&quot;Morarescu, Irinel-Constantin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:morarescu.irinel-constantin</uri> </author> <author> <name>&quot;Srikant, Sukumar&quot;</name> <uri>https://zbmath.org/authors/?q=ai:srikant.sukumar</uri> </author> <content type="text">Summary: We propose new results on input-to-state stability (ISS) subject to time delays in the input for compact, invariant sets that contain the origin. First, using nonlinear small-gain theory, we prove a Razumikhin-type theorem that ensures ISS for sets in the context of functional differential equations with delayed disturbances. Next we demonstrate that this theorem can be used to ensure set ISS for nonlinear systems with input delays and disturbances. In comparison to the existing research on robustness of set ISS with respect to time delays at the input, our results are more general, retain the ISS gain, and do not impose constraints on time delayed states. The advantages of the method are illustrated through two case-studies on set-stability for classes of nonlinear oscillators of practical interest. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Design and application of finite-time tracking control for autonomous ground vehicle affected by external disturbances</title> <id>https://zbmath.org/1553.93225</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93225" /> <author> <name>&quot;Chen, Zongliang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.zongliang</uri> </author> <author> <name>&quot;Pan, Shuguo&quot;</name> <uri>https://zbmath.org/authors/?q=ai:pan.shuguo</uri> </author> <author> <name>&quot;Tang, Xinhua&quot;</name> <uri>https://zbmath.org/authors/?q=ai:tang.xinhua</uri> </author> <author> <name>&quot;Meng, Xiaolin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:meng.xiaolin</uri> </author> <author> <name>&quot;Gao, Wang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:gao.wang</uri> </author> <author> <name>&quot;Yu, Baoguo&quot;</name> <uri>https://zbmath.org/authors/?q=ai:yu.baoguo</uri> </author> <content type="text">Summary: Path tracking plays a critical role in autonomous driving for autonomous ground vehicle (AGV). However, AGV faces challenges in accurate tracking and chatter reduction due to external disturbances, making it difficult to meet the tracking performance requirements. Currently, sliding mode control (SMC) and disturbances observer are primarily employed for disturbance estimation. However, ensuring finite-time robust control remains a significant challenge. To ensure rapid convergence of tracking errors and effective disturbance rejection, this paper proposed a novel non-singular fast terminal sliding mode (NFTSM) control scheme based on finite-time disturbance observation (FDO). First, a novel NFTSM controller based on AGV dynamic model is developed to achieve fast convergence of tracking errors. Then, to mitigate disturbances effects and suppress chatter, an innovative FDO method is employed. Finally, based on FDO, the NFTSM-FDO establishes a control scheme that enhances disturbances suppression and accelerates convergence. The simulation and experimental results demonstrate the innovation of the proposed method. Compared with other SMC methods, the results validate the effectiveness and advantages of the proposed approach, exhibiting fast convergence and superior tracking performance. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Fixed-time event-dependent intermittent control for reaction-diffusion systems</title> <id>https://zbmath.org/1553.93226</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93226" /> <author> <name>&quot;Hu, Xiaofang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hu.xiaofang</uri> </author> <author> <name>&quot;Wang, Leimin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.leimin</uri> </author> <author> <name>&quot;Zong, Xiaofeng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zong.xiaofeng</uri> </author> <content type="text">Summary: This article discusses the fixed-time stabilization (FxTS) problem for reaction-diffusion systems (RDSs). First, this article designs a fixed-time event-dependent intermittent control strategy by introducing four nonlinear functions. The switching of the controller between the working and resting phases is no longer time-dependent, avoiding the relatively stringent constraint on the control ratio in the existing studies of FxTS based on discontinuous-time control. Under the presented event-dependent intermittent control strategy, RDSs can be stabilized within a fixed time and the settling time can be estimated as the zero point of the pre-defined nonlinear function. In contrast to the existing estimation methods, the estimation method of this article is more universal and less conservative. Moreover, this article derives several generalized stabilization criteria for RDSs under event-dependent intermittent control employing the Lyapunov method and mathematical induction. Finally, an example is given to clarify the validity of the fixed-time control strategy and the FxTS criteria. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Research on the control of thrust vectoring turbojet aircraft with uncertainties and input saturation based on fixed-time control</title> <id>https://zbmath.org/1553.93227</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93227" /> <author> <name>&quot;Liu, Benshan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.benshan</uri> </author> <author> <name>&quot;Gao, Yongsheng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:gao.yongsheng</uri> </author> <author> <name>&quot;Gao, Liang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:gao.liang</uri> </author> <author> <name>&quot;Zhang, Junming&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.junming</uri> </author> <author> <name>&quot;Zhu, Yanhe&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhu.yanhe</uri> </author> <author> <name>&quot;Zhao, Jie&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhao.jie.1</uri> </author> <content type="text">Summary: One-dimensional thrust vectoring turbojet vertical takeoff and landing (VTOL) aircraft have attracted research attention due to their high thrust-to-weight ratios and their solution for the slow speed response of turbojet engines. However, there are some uncertainties and physical limitations in their systems, such as external disturbances, unknown parameters and input saturation. To improve the accuracy and convergence speed of trajectory tracking, a fixed-time control method that is robust to saturation is proposed. The system dynamics are established, and an auxiliary system is built within a fixed time control framework to address the influence of input saturation and increase the error convergence rate. Nonsingular fast terminal sliding mode technology is combined with a few adaptive laws to ensure the robustness of the closed-loop system against dynamic uncertainties and improve the precision of steady-state control. The stability of the control system is proven based on Lyapunov, and the controller parameters are optimized based on particle swarm optimization (PSO). The proposed method based on fixed-time stability guarantees that the states of the closed-loop system can reach the residual set around zero within the designed time, and an expression for the upper bound on the convergence time is given. Finally, numerical simulations demonstrate the superiority of the proposed method based on the error integral criterion. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Finite-time stability via \(\mathcal{GKL} \)-functions for impulsive dynamical systems</title> <id>https://zbmath.org/1553.93228</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93228" /> <author> <name>&quot;Liu, Bin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.bin.1</uri> </author> <author> <name>&quot;Xie, Zhou-Teng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xie.zhou-teng</uri> </author> <author> <name>&quot;Li, Ping&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.ping.7|li.ping.16|li.ping.30|li.ping.8|li.ping.31|li.ping.1|li.ping.23|li.ping.33|li.ping.4|li.ping.10|li.ping.2|li.ping.25|li.ping.5|li.ping.26|li.ping</uri> </author> <author> <name>&quot;Sun, Zhijie&quot;</name> <uri>https://zbmath.org/authors/?q=ai:sun.zhijie</uri> </author> <content type="text">Summary: This paper studies the finite-time stability via \(\mathcal{GKL} \)-functions \(( \mathcal{GKL} \)-FTS) for impulsive dynamical systems (IDS). The notions of \(\mathcal{GKL} \)-functions, \( \mathcal{GKL} \)-FTS, and event-\( \mathcal{GKL} \)-FTS are proposed for IDS. The \(\mathcal{GKL} \)-FTS is a type of well-defined finite-time stability which is expressed via \(\mathcal{GKL} \)-functions. The \(\mathcal{GKL} \)-FTS is decomposed into specific types through the decomposition of \(\mathcal{GKL} \)-functions. By establishing the comparison principles of FTS including \(\mathcal{GKL} \)-FTS and event-\( \mathcal{GKL} \)-FTS, and by using the decompositions of \(\mathcal{GKL} \)-functions, the criteria on \(\mathcal{GKL} \)-FTS and event-\( \mathcal{GKL} \)-FTS are derived for IDS. And with the help of the decompositions of \(\mathcal{GKL} \)-FTS, the settling time of the \(\mathcal{GKL} \)-FTS is effectively calculated. Moreover, two types of specific \(\mathcal{GKL} \)-FTS with fixed settling time, i.e., \( \mathcal{GKL} \)-FTS via resetting state to zero, and event-\( \mathcal{GKL} \)-FTS via Zeno behaviour, are provided. And four examples with numerical simulations are presented to demonstrate the effectiveness of the results. It is shown that the \(\mathcal{GKL} \)-FTS criteria are less conservative in relaxing the FTS conditions of IDS in the literature. And specific effects of impulses on FTS are given in these \(\mathcal{GKL} \)-FTS criteria, including that an unstable continuous system may obtain FTS under a finite number of impulses.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Command filtered-based fixed-time fault-tolerant tracking control for nonlinear systems</title> <id>https://zbmath.org/1553.93229</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93229" /> <author> <name>&quot;Li, Yingsen&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.yingsen</uri> </author> <author> <name>&quot;Chen, Ming&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.ming.2</uri> </author> <author> <name>&quot;Peng, Kaixiang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:peng.kaixiang</uri> </author> <author> <name>&quot;Wang, Huanqing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.huanqing</uri> </author> <content type="text">Summary: As for a class of strict-feedback nonlinear systems with simultaneous sensor and actuator faults, the article focuses on the problem of fixed-time fault-tolerant control. Both fixed-time command filters and a compensation mechanism are utilized to cope with these issues of differential explosion and filter errors. Meanwhile, through the fusion of fixed-time control, fuzzy logic systems, adaptive control and the backstepping technology, a \(n\)-step design scheme is presented. Our proposed controller ensures the fixed-time convergence of all the signals in the system even with sensor/actuator faults, and allows the designers to acquire the upper limit value of the fixed convergence time only by tuning the design parameters. And this scheme takes into account rapidity, adaptability and fault tolerance of the system simultaneously. Based on the numerical simulation analysis, it is shown that the better tracking performance can be achieved. So it is concluded that our strategy is effective. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Practical prescribed-time tracking control of unknown nonlinear systems: a low-complexity approach</title> <id>https://zbmath.org/1553.93230</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93230" /> <author> <name>&quot;Xie, Haixiu&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xie.haixiu</uri> </author> <author> <name>&quot;Zhang, Jin-Xi&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.jin-xi</uri> </author> <author> <name>&quot;Jing, Yuanwei&quot;</name> <uri>https://zbmath.org/authors/?q=ai:jing.yuanwei</uri> </author> <author> <name>&quot;Chen, Jiqing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.jiqing</uri> </author> <author> <name>&quot;Dimirovski, Georgi M.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:dimirovski.georgi-marko</uri> </author> <content type="text">Summary: This article is concerned with the trajectory tracking control problem for the nonlinear systems in the sense of the predefined settling time and accuracy. In contrast with the existing works, we focus on the cases where the system dynamics, its bounding functions, the unmatched disturbances, and the time-varying parameters are totally unknown; the derivatives of the desired trajectory are not required to be available. They significantly challenge the identification and/or approximation-based control solutions. To overcome this obstacle, a novel robust prescribed performance control approach via state feedback is put forward in this article. It not only ensures the natural satisfaction of the specific initial condition but also realizes a full-time performance specification for trajectory tracking. Furthermore, for the case of unmeasured state variables, an output-feedback control approach is further derived by adopting an input-driven filter and conducting trivial changes on the design procedure. Moreover, both approaches exhibit significant simplicity, without the needs for parameter identification, function approximation, disturbance estimation, derivative calculation, or command filtering. Three simulation studies are conducted to clarify and verify the above theoretical findings. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Composite observer based finite time control for nonlinear systems subjecting to multiple disturbances</title> <id>https://zbmath.org/1553.93231</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93231" /> <author> <name>&quot;Zhang, Huifeng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.huifeng</uri> </author> <author> <name>&quot;Wei, Xinjiang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wei.xinjiang</uri> </author> <author> <name>&quot;Li, Xinqing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.xinqing</uri> </author> <content type="text">Summary: Composite observer based finite time control of nonlinear systems in case of multiple disturbances is studied in this article, wherein the disturbances contain two parts, the first type is the harmonic disturbance with modeling errors, and all other disturbances are classified as the second type, known as lumped disturbances. To give estimation of the harmonic disturbance and the lumped disturbances, a disturbance observer (DO) and the extended state observer are constructed, respectively. On this basis, a finite-time elegant anti-disturbance controller is presented by combing DO-based control, active disturbance rejection control, backstepping technique and the finite time command filter method. Eventually, it is proved that the design method put forward in this article is correct and feasible. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Finite-time input-to-state stability and settling-time estimation of impulsive switched systems with multiple impulses</title> <id>https://zbmath.org/1553.93232</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93232" /> <author> <name>&quot;Zhang, Taixiang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.taixiang</uri> </author> <author> <name>&quot;Cao, Jinde&quot;</name> <uri>https://zbmath.org/authors/?q=ai:cao.jinde</uri> </author> <author> <name>&quot;Li, Xiaodi&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.xiaodi</uri> </author> <author> <name>&quot;Hua, Liang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hua.liang</uri> </author> <content type="text">Summary: This paper investigates finite-time input-to-state stability (\textit{FT-ISS}) of impulsive switched systems with multiple impulses. Some \textit{FT-ISS} conditions, using Lyapunov method and dwell-time condition, are established for impulsive switched systems involving destabilizing and stabilizing impulses simultaneously. When constituent modes regulating continuous dynamics are \textit{FT-ISS} and discrete dynamics involve destabilizing and stabilizing impulses, it is shown that, the \textit{FT-ISS} is retained if impulsive-switching signal satisfies some dwell-time condition. When some constituent modes regulating continuous dynamics are not \textit{FT-ISS} and discrete dynamics involve destabilizing and stabilizing impulses, it is shown that, the impulsive-switching signal which satisfies some dwell-time conditions can achieve the \textit{FT-ISS} of system. In addition, the settling time can be derived conveniently for certain impulsive-switching signal that is formalized by dwell-time condition. The estimation of settling time presents a class of uniformity with respect to the impulsive-switching signals. Two examples are finally presented for the proposed \textit{FT-ISS} results.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Distributed bipartite time-varying formation tracking control with prescribed-time convergence for heterogeneous Euler-Lagrange systems</title> <id>https://zbmath.org/1553.93233</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93233" /> <author> <name>&quot;Zhong, Huimin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhong.huimin</uri> </author> <author> <name>&quot;Han, Tao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:han.tao</uri> </author> <author> <name>&quot;Xiao, Bo&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xiao.bo</uri> </author> <author> <name>&quot;Zhan, Xi-Sheng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhan.xisheng</uri> </author> <author> <name>&quot;Yan, Huaicheng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:yan.huaicheng</uri> </author> <content type="text">Summary: This paper focuses on the study of the prescribed-time bipartite time-varying formation tracking (BTVFT) problem for multiple heterogeneous Euler-Lagrange systems (HELSs) with external disturbances under directed signed graphs. Considering the fact that the states of leader cannot be accurately obtained, a set of observers which can estimate the states of the leader within a prescribed time, is firstly established according to the time-varying function. Subsequently, a prescribed-time distributed control protocol is proposed by employing a terminal sliding surface, aiming to achieve the BTVFT under digraphs within a prescribed time. The theoretical proof utilizes suitable Lyapunov functions to demonstrate that the control law can guide the state trajectories of each follower to the corresponding terminal sliding surface within a predefined time, thus ensuring the solution to the BTVFT problem of HELSs. Finally, simulation results are provided to validate the effectiveness of the derived findings. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Velocity-free attitude coordination control of multiple rigid spacecraft with practical predefined-time convergence</title> <id>https://zbmath.org/1553.93234</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93234" /> <author> <name>&quot;Zou, An-Min&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zou.anmin</uri> </author> <author> <name>&quot;Tang, Yanling&quot;</name> <uri>https://zbmath.org/authors/?q=ai:tang.yanling</uri> </author> <author> <name>&quot;Yu, Xinran&quot;</name> <uri>https://zbmath.org/authors/?q=ai:yu.xinran</uri> </author> <author> <name>&quot;Jiao, Dexin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:jiao.dexin</uri> </author> <content type="text">Summary: The issue of velocity-free practical predefined-time (PPT) attitude coordination control (ACC) for multiple rigid spacecraft under directed topology and subject to bounded external disturbances is investigated in the article. To gain precise estimates of the spacecraft's velocities together with external disturbances, PPT extended-state observers are presented by virtue of a time-varying function technique. Next, distributed PPT state observers are designed to estimate the leader's attitude which is accessible to only some of the followers. One advantage of the designed distributed observers is that the information required to transmit among neighbor spacecraft is only the estimated attitudes, which results in a reduction of the communication burden. Then, a distributed velocity-free PPT ACC law is put forward in terms of the backstepping approach and the PPT observers. The present control protocol can ensure that the settling time is bounded by a predefined time with no reliance on any other controller parameters or initial conditions. Finally, the efficiency of the developed ACC scheme is illustrated by numerical simulation examples, and it is shown that the designed control law possesses one further salient advantage of required reduced magnitudes of control torques to reach accurate ACC performance. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Multi-consensus problems in hybrid multi-agent systems</title> <id>https://zbmath.org/1553.93235</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93235" /> <author> <name>&quot;Cristofaro, Andrea&quot;</name> <uri>https://zbmath.org/authors/?q=ai:cristofaro.andrea</uri> </author> <author> <name>&quot;D'Orazio, Francesco&quot;</name> <uri>https://zbmath.org/authors/?q=ai:dorazio.francesco</uri> </author> <author> <name>&quot;Govoni, Lorenzo&quot;</name> <uri>https://zbmath.org/authors/?q=ai:govoni.lorenzo</uri> </author> <author> <name>&quot;Mattioni, Mattia&quot;</name> <uri>https://zbmath.org/authors/?q=ai:mattioni.mattia</uri> </author> <content type="text">Summary: In this chapter, we investigate the possible advantages of introducing hybrid behaviors in the control of multi-agent systems. With reference to the consensus problem, two complementary settings are explored: hybrid interaction topology and hybrid linear agent dynamics. The results are then applied and further illustrated in synchronization problems for multi-robot systems equipped with heterogeneous sensors with the aim of opening toward new perspectives. For the entire collection see [Zbl 1537.93005].</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Invariant properties of linear-iterative distributed averaging algorithms and application to error detection</title> <id>https://zbmath.org/1553.93236</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93236" /> <author> <name>&quot;Hadjicostis, Christoforos N.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hadjicostis.christoforos-n</uri> </author> <author> <name>&quot;Dom铆nguez-Garc铆a, Alejandro D.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:dominguez-garcia.alejandro-d</uri> </author> <content type="text">Summary: We consider the problem of average consensus in a distributed system comprising a set of nodes that can exchange information among themselves. We focus on a class of algorithms for solving such a problem whereby each node maintains a state and updates it iteratively as a linear combination of the states maintained by its in-neighbors, i.e., nodes from which it receives information directly. Averaging algorithms within this class can be thought of as discrete-time linear time-varying systems without external driving inputs and whose state matrix is column stochastic. As a result, the algorithms exhibit a global invariance property in that the sum of the state variables remains constant at all times. In this paper, we report on another invariance property for the aforementioned class of averaging algorithms. This property is local to each node and reflects the conservation of certain quantities capturing an aggregate of all the values received by a node from its in-neighbors and all the values sent by said node to its out-neighbors (i.e., nodes to which it sends information directly) throughout the execution of the averaging algorithm. We show how this newly-discovered invariant can be leveraged for detecting errors while executing the averaging algorithm.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Cluster consensus for nonlinear multi-agent systems restricted with input saturation by event triggered control</title> <id>https://zbmath.org/1553.93237</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93237" /> <author> <name>&quot;Huang, Jun&quot;</name> <uri>https://zbmath.org/authors/?q=ai:huang.jun</uri> </author> <author> <name>&quot;Liu, Mingquan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.mingquan</uri> </author> <author> <name>&quot;Xu, Jing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:xu.jing.4|xu.jing.2|xu.jing</uri> </author> <author> <name>&quot;Sun, Yuan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:sun.yuan</uri> </author> <content type="text">Summary: This article studies the cluster consensus problem for the nonlinear multi-agent systems subject to input saturation under the context of event triggered control. Taking ordinary consensus object as a special case, this article considers the problem of cluster consensus. The event triggered mechanism is designed and the Zeno phenomenon is ruled out. The sufficient conditions of control protocol and range estimation of domain of attraction are formulated by the linear matrix inequalities for the constraints of input saturation and nonlinear terms existed in the system dynamics. Finally, the proposed results are validated by one example in the background of spring damping system. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Strong consensus of convex second-order multi-agent systems with time-varying topologies</title> <id>https://zbmath.org/1553.93238</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93238" /> <author> <name>&quot;Jin, Yongfang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:jin.yongfang</uri> </author> <author> <name>&quot;Liu, Xingwen&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.xingwen</uri> </author> <author> <name>&quot;Cao, Mengtao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:cao.mengtao</uri> </author> <author> <name>&quot;Tashi, Nyima&quot;</name> <uri>https://zbmath.org/authors/?q=ai:tashi.nyima</uri> </author> <content type="text">Summary: This paper addresses the strong consensus problem of convex second-order discrete-time multi-agent systems (MASs) with time-varying topologies. The convex second-order discrete-time MAS model is derived from the Langevin equation and therefore has a certain physical significance. The strong consensus here means that all the first- and second-order states converge to an identical value. Some fully distributed control protocols are designed with time-varying weights randomly chosen from an arbitrary finite set. These protocols are applicable to several cases where changing topologies may be directed or undirected, and connected or disconnected. As a special case, the condition for convex second-order MASs with fixed topologies to achieve the strong consensus is presented. Finally, two simulation examples illustrate the proposed results. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Fixed-time rotating consensus control of second-order multi-agent systems</title> <id>https://zbmath.org/1553.93239</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93239" /> <author> <name>&quot;Kou, Liwei&quot;</name> <uri>https://zbmath.org/authors/?q=ai:kou.liwei</uri> </author> <author> <name>&quot;Huang, Yi&quot;</name> <uri>https://zbmath.org/authors/?q=ai:huang.yi.10</uri> </author> <author> <name>&quot;Zuo, Guangyu&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zuo.guangyu</uri> </author> <author> <name>&quot;Jian, Long&quot;</name> <uri>https://zbmath.org/authors/?q=ai:jian.long</uri> </author> <author> <name>&quot;Dou, Yinke&quot;</name> <uri>https://zbmath.org/authors/?q=ai:dou.yinke</uri> </author> <content type="text">Summary: This article investigates the fixed-time rotating consensus problem of second-order multi-agent systems in both the leaderless and leader-following cases. Specifically, in the leaderless case, a distributed controller is developed to drive all agents to reach rotating consensus in fixed-time. In the leader-following case, a distributed fixed-time observer is first proposed to estimate the position of a rotating leader. Then, a local fixed-time output feedback controller without any velocity measurements is proposed to achieve the leader-following motion. Furthermore, an integral sliding mode control technique is applied to handle the case where the multi-agent system is subject to time varying external disturbances. Based on the bi-limit homogeneity method and Lyapunov theory, we prove that all the agents reach the rotating consensus within a fixed time independent of initial conditions. Finally, simulations illustrate the effectiveness of the proposed controllers. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Prescribed-time consensus for multi-agent systems using finite switching time-varying gain</title> <id>https://zbmath.org/1553.93240</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93240" /> <author> <name>&quot;Li, Yinsheng&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.yinsheng</uri> </author> <author> <name>&quot;Wang, Bing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.bing.4|wang.bing.1|wang.bing|wang.bing.2</uri> </author> <author> <name>&quot;Chen, Yuquan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.yuquan</uri> </author> <content type="text">Summary: In this paper, the prescribed-time consensus problem of multi-agent systems with finite control gain is investigated. A novel control Lyapunov function (CLF) framework for prescribed-time stability is developed by using the time space deformation approach. For both leaderless and leader-following prescribed-time consensus, new switching time-varying gain-based protocols are proposed, in which, the infinite time-varying control gain is turned off before the prescribed time and the global boundedness of control gain is thus guaranteed. It is mathematically proved that the agents equipped with the proposed protocols can achieve less conservative prescribed-time consensus in both leaderless cases and leader-following cases, on the basis of the developed CLF framework. The superiority of the proposed prescribed-time protocols in terms of consensus accuracy, control energy consumption, and control peak value is demonstrated through comparison simulations using illustrative examples. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Distributed output consensus of heterogeneous linear multi-agent systems with dynamic quantization</title> <id>https://zbmath.org/1553.93241</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93241" /> <author> <name>&quot;Ma, Ji&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ma.ji</uri> </author> <author> <name>&quot;Chen, Ziqin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:chen.ziqin</uri> </author> <author> <name>&quot;Ji, Haibo&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ji.haibo</uri> </author> <content type="text">Summary: The output consensus problem for heterogeneous linear multi-agent systems (MASs) without strongly connected communication graphs is investigated via quantization communication. In this work, we propose an efficient distributed control law composed of distributed quantized observers and compensators to accomplish this task. Particularly, we first employ a dynamic encoding-decoding scheme to design the distributed quantized observer, which is able to accurately estimate the state of the leader for MASs. Then, an appropriate compensator is constructed to show that asymptotic output consensus can be achieved with 5-level quantizer, even if neither global knowledge of communication graphs nor the information about initial states of all agents is required. Finally, a numerical example is used to validate the effectiveness of our distributed control law for MASs. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Disturbance observer-based matrix-weighted consensus</title> <id>https://zbmath.org/1553.93242</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93242" /> <author> <name>&quot;Trinh, Minh Hoang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:trinh.minh-hoang</uri> </author> <author> <name>&quot;Tran, Quoc Van&quot;</name> <uri>https://zbmath.org/authors/?q=ai:tran.quoc-van</uri> </author> <author> <name>&quot;Sun, Zhiyong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:sun.zhiyong</uri> </author> <author> <name>&quot;Ahn, Hyo-Sung&quot;</name> <uri>https://zbmath.org/authors/?q=ai:ahn.hyo-sung</uri> </author> <content type="text">Summary: In this paper, we proposed several disturbance observer-based matrix-weighted consensus algorithms. A new disturbance observer is firstly designed for linear systems with unknown matched or mismatched disturbances representable as the multiplication of a known time-varying matrix with a unknown constant vector. Under some assumptions on the boundedness and persistent excitation of the regression matrix, the disturbances can be estimated at an exponential rate. Then, a suitable compensation input is provided to compensate the unknown disturbances. Second, disturbance-observer based consensus algorithms are proposed for matrix-weighted networks of single- and double-integrators with matched or mismatched disturbances. We show that both matched and mismatched disturbances can be estimated and actively compensated, and the consensus system uniformly globally asymptotically converges to a fixed point in the kernel of the matrix-weighted Laplacian. Depending on the network connectivity, the system can asymptotically achieve a consensus or a cluster configuration. The disturbance-observer based consensus design is further extended for a network of higher-order integrators subjected to disturbances. Finally, simulation results are provided to support the mathematical analysis. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Secure consensus for positive multi-agent systems with bumpless transfer control under denial-of-service attacks</title> <id>https://zbmath.org/1553.93243</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93243" /> <author> <name>&quot;Wei, Miao&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wei.miao</uri> </author> <author> <name>&quot;Zhang, Yijun&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.yijun</uri> </author> <author> <name>&quot;Yuan, Yang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:yuan.yang</uri> </author> <author> <name>&quot;He, Wangli&quot;</name> <uri>https://zbmath.org/authors/?q=ai:he.wangli</uri> </author> <author> <name>&quot;Mishra, Yateendra&quot;</name> <uri>https://zbmath.org/authors/?q=ai:mishra.yateendra</uri> </author> <author> <name>&quot;Tian, Yu-Chu&quot;</name> <uri>https://zbmath.org/authors/?q=ai:tian.yuchu</uri> </author> <content type="text">Summary: This article investigates the secure consensus control problem of positive multi-agent systems under multiple-mode denial-of-service (DoS) attacks. A bumpless transfer (BT) control based secure mode strategy is proposed to improve the switching transient performance due to the system being actively switched to secure mode when attack is detected. Considering possible time delays for agents dealing with the issues of DoS attacks, an asynchronous switching model is established between system models and communication topology. With the stability theory of positive systems, sufficient and necessary conditions are established to guarantee the positivity of multi-agent systems under the secure mode strategy. Because the switching law caused by external attacks is unknown in advance, the BT control is specifically implemented through the controller gain interpolation technique. By multiple Lyapunov functions (MLFs) approach, secure consensus is achieved with a trade-off among controller performance, attack parameters, and switching delays. Numerical examples are presented to demonstrate the effectiveness of the obtained results. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Prescribed-time consensus of time-varying open multi-agent systems with delays on time scales</title> <id>https://zbmath.org/1553.93244</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93244" /> <author> <name>&quot;Zhou, Boling&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhou.boling</uri> </author> <author> <name>&quot;Park, Ju H.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:park.ju-hee|park.ju-hye|park.jessie|park.ju-hui</uri> </author> <author> <name>&quot;Yang, Yongqing&quot;</name> <uri>https://zbmath.org/authors/?q=ai:yang.yongqing</uri> </author> <author> <name>&quot;Hao, Rixu&quot;</name> <uri>https://zbmath.org/authors/?q=ai:hao.rixu</uri> </author> <author> <name>&quot;Jiao, Yu&quot;</name> <uri>https://zbmath.org/authors/?q=ai:jiao.yu</uri> </author> <content type="text">This study presents one innovative approach to prescribed-time leader-following consensus problems in time-varying open multi-agent systems (OMASs) with time delays. Unlike asymptotic consensus or finite-time consensus, prescribed-time consensus has provoked more public discussion due to its faster convergence rate, stronger robustness and easier operability. To solve the problem of prescribed-time consensus, the authors focus on developing a novel segmented state feedback control protocol. It is particularly commendable, as it incorporates a time-varying scalar function to ensure consensus achievement despite the uncertainty in Lyapunov function monotonicity. The introduction of impulsive signals dependent on the leader at each opening instant is a clever strategy to mitigate the risk of excessive controller norm. Furthermore, their innovative extension of Halanay-like inequalities on time scales is a critical theoretical contribution that effectively tackles the challenges posed by time delays in theoretical analysis. The integration of time scale theory and Lyapunov stability theory to derive sufficient conditions for prescribed-time consensus based on system and controller parameters is a robust analytical framework that enhances the practical applicability of the proposed approach. Additionally, the authors' consideration of incomplete agent information and the subsequent design of an observer system to reconstruct original system information demonstrates a thorough understanding of real-world constraints and the need for robust, adaptable solutions. The validation of the proposed theory through two simulation examples adds further credibility to the study. Overall, this paper offers a commendable blend of innovative methodology and rigorous theoretical analysis, while also providing practical insights relevant to multi-agent systems. Reviewer: Peijun Wang (Wuhu)</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Mirroring of synchronization in multilayer configuration of Kuramoto oscillators</title> <id>https://zbmath.org/1553.93245</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93245" /> <author> <name>&quot;Biswas, Dhrubajyoti&quot;</name> <uri>https://zbmath.org/authors/?q=ai:biswas.dhrubajyoti</uri> </author> <author> <name>&quot;Gupta, Sayan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:gupta.sayan.2|gupta.sayan|gupta.sayan.1</uri> </author> <content type="text">Summary: One of the most fundamental and important emergent phenomena observed in complex systems is synchronization, where the smaller parts of the larger coupled system behave in unison. Other fascinating phenomena in such systems include explosive transitions, chimeras, amplitude death and so on. In these systems, it is possible to observe the simultaneous occurrence of emergent phenomena, such as synchronization, in distinctly different parts of the system. One example is ``contagious yawning'' where observing one individual yawn will trigger yawning in others. This has been observed across species and is thought to be due to the synchronous activation of the mirror neuron system in the brain, which is triggered by observing specific actions. This suggests that there is a section in the brain that mirrors the dynamics of what is visually observed from another individual. Other examples include fake news propagation and jamming in communication networks. For the entire collection see [Zbl 1537.93004].</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Synchronization based on intermittent sampling: PWL multiscroll system</title> <id>https://zbmath.org/1553.93246</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93246" /> <author> <name>&quot;Echenaus铆a-Monroy, Jos茅 Luis&quot;</name> <uri>https://zbmath.org/authors/?q=ai:echenausia-monroy.jose-luis</uri> </author> <author> <name>&quot;Pena-Ramirez, Jonatan&quot;</name> <uri>https://zbmath.org/authors/?q=ai:pena-ramirez.jonatan</uri> </author> <content type="text">Summary: Piecewise linear (PWL) systems are characterized by the interaction of continuous and discrete dynamics, leading to a high-level hierarchical decision structure, also known as hybrid systems with nonlinear behavior. This type of agent is used in phenomenological modeling, e.g., chemical, climatological, and biological behaviors. One of their characteristic features is the generation of strange attractors, sometimes with multiple scrolls. The term multiscroll, coined in the early 1990s, refers to the generation of attractors with more than two scrolls. In this context, the Chua system, with its characteristic double-wing attractor, is the precursor of all these. For the entire collection see [Zbl 1537.93004].</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Scalable exact output synchronization of discrete-time multi-agent systems in the presence of disturbances and measurement noise with known frequencies</title> <id>https://zbmath.org/1553.93247</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93247" /> <author> <name>&quot;Liu, Zhenwei&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.zhenwei</uri> </author> <author> <name>&quot;Zhang, Meirong&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.meirong.1</uri> </author> <author> <name>&quot;Saberi, Ali&quot;</name> <uri>https://zbmath.org/authors/?q=ai:saberi.ali</uri> </author> <author> <name>&quot;Stoorvogel, Anton A.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:stoorvogel.anton-a</uri> </author> <content type="text">Summary: This article aims to achieve scalable exact output and regulated output synchronization for discrete-time multi-agent systems in presence of disturbances and measurement noise with known frequencies. Both homogeneous and heterogeneous multi-agent systems are considered, with parts of agents' states accessible in the latter case. The key contribution of this article is to establish scalable exact synchronization results under disturbances and measurement noise, which is achieved by using distributed protocols that only use information about agent models and no information about the communication network or the number of agents. The validity of the protocol is verified by numerical simulations with arbitrarily chosen number of agents. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">The role of local bounds on neighborhoods in the network for scale-free state synchronization of multi-agent systems</title> <id>https://zbmath.org/1553.93248</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93248" /> <author> <name>&quot;Stoorvogel, Anton A.&quot;</name> <uri>https://zbmath.org/authors/?q=ai:stoorvogel.anton-a</uri> </author> <author> <name>&quot;Saberi, Ali&quot;</name> <uri>https://zbmath.org/authors/?q=ai:saberi.ali</uri> </author> <author> <name>&quot;Liu, Zhenwei&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.zhenwei</uri> </author> <content type="text">Summary: This article provides necessary and sufficient conditions for the existence of solutions to the state synchronization problem of homogeneous multi-agent systems (MAS) via scale-free linear dynamic non-collaborative protocol in both continuous and discrete time. These conditions guarantee for which class of MAS, one can achieve scale-free state synchronization. We investigate protocol design with and without utilizing local bounds on the neighborhood of agents. The results shows that the availability of local bounds on neighborhoods plays a key role. {\copyright} 2024 John Wiley \&amp; Sons Ltd.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Lagrange synchronization of nonidentical discrete-time fractional-order quaternion-valued neural networks with time delays</title> <id>https://zbmath.org/1553.93249</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93249" /> <author> <name>&quot;Zhao, Mingfang&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhao.mingfang</uri> </author> <author> <name>&quot;Li, Hong-Li&quot;</name> <uri>https://zbmath.org/authors/?q=ai:li.hongli</uri> </author> <author> <name>&quot;Yang, Juanping&quot;</name> <uri>https://zbmath.org/authors/?q=ai:yang.juanping</uri> </author> <author> <name>&quot;Zhang, Long&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhang.long</uri> </author> <content type="text">Summary: This paper is devoted to the study of Lagrange synchronization of nonidentical discrete-time fractional-order quaternion-valued neural networks (DFQNNs) with time delays. First, a new inequality is established by using the definition and operational principles of quaternion sign function. Next, in order to achieve Lagrange synchronization, a state feedback controller is designed. And then, some criteria are derived to guarantee Lagrange synchronization of nonidentical DFQNNs by employing Lyapunov method and fractional difference theory as well as quaternion properties. Finally, the validity and feasibility of the theoretical results are verified by numerical simulations.</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Decentralized robust adaptive output-feedback control for a class of large-scale stochastic time-delay nonlinear systems with dynamic interactions</title> <id>https://zbmath.org/1553.93262</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93262" /> <author> <name>&quot;Wang, Qiangde&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.qiangde</uri> </author> <author> <name>&quot;Wang, Qian&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.qian.22</uri> </author> <author> <name>&quot;Wei, Chunling&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wei.chunling</uri> </author> <author> <name>&quot;Wang, Hui&quot;</name> <uri>https://zbmath.org/authors/?q=ai:wang.hui.40|wang.hui.6|wang.hui.23|wang.hui.43|wang.hui.57|wang.hui.20|wang.hui.17|wang.hui.54|wang.hui.25|wang.hui.53|wang.hui.22|wang.hui.56|wang.hui.100|wang.hui.15|wang.hui.62|wang.hui.10|wang.hui.13|wang.hui.14|wang.hui.50|wang.hui.45|wang.hui.41|wang.hui.52|wang.hui.46|wang.hui.16|wang.hui.8|wang.hui.34|wang.hui.42|wang.hui.12|wang.hui.61|wang.hui.27|wang.hui.18|wang.hui.64</uri> </author> <author> <name>&quot;Liu, Shaoning&quot;</name> <uri>https://zbmath.org/authors/?q=ai:liu.shaoning</uri> </author> <content type="text">Summary: The paper solves the problem of decentralized robust adaptive output-feedback control for a class of large-scale stochastic time-delay nonlinear systems. Under the assumptions that the inverse dynamics of the subsystems are stochastic input-to-state stable, an adaptive output-feedback controller is constructively designed by the back-stepping method. It is shown that under some milder conditions, the closed-loop system is globally stable in probability and the outputs can be regulated to an arbitrarily small neighborhood of the origin in probability and other signals in the closed-loop system are global bounded in probability by selecting the design parameters and appropriate Lyapunov function. A simulation example is presented to illustrate the effectiveness of the designed controller. {\copyright} 2020 Chinese Automatic Control Society and John Wiley \&amp; Sons Australia, Ltd</content> </entry> <entry xml:base="https://zbmath.org/atom/cc/93D"> <title type="text">Almost sure exponential stability of stochastic nonlinear semi-Markov jump T-S fuzzy systems under intermittent EDF scheduling controller</title> <id>https://zbmath.org/1553.93265</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.93265" /> <author> <name>&quot;Zhu, Dalin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhu.dalin</uri> </author> <author> <name>&quot;Zhu, Quanxin&quot;</name> <uri>https://zbmath.org/authors/?q=ai:zhu.quanxin</uri> </author> <content type="text">Summary: This paper studies the almost sure exponential stability (ASES) with a random switching process of stochastic nonlinear semi-Markov jump T-S Fuzzy systems (SMJT-SFSs) based on an intermittent scheduling controller. The intermittent scheduling controller is established by the earliest deadline first (EDF) algorithm, where the controller is enabled to take a rest interval. By building a mode-dependent Lyapunov function and employing the It么 formula, the sufficient stability conditions of the SMJT-SFSs with intermittent scheduling controller are obtained about solvable forms of linear matrix inequalities (LMIs). Furthermore, we explore two special cases involving linear systems and deterministic systems. In addition, an application example of the nonlinear robot arm model of single-link is provided to illustrate the results.</content> </entry> </feed>