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degree of stability</title> <meta name="description" content="Search results for: robust degree of stability"> <meta name="keywords" content="robust degree of stability"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button 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action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="robust degree of stability"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 7333</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: robust degree of stability</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7333</span> Synthesis of the Robust Regulators on the Basis of the Criterion of the Maximum Stability Degree</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=S.%20A.%20Gayvoronsky">S. A. Gayvoronsky</a>, <a href="https://publications.waset.org/abstracts/search?q=T.%20A.%20Ezangina"> T. A. Ezangina </a> </p> <p class="card-text"><strong>Abstract:</strong></p> The robust control system objects with interval-undermined parameters is considers in this paper. Initial information about the system is its characteristic polynomial with interval coefficients. On the basis of coefficient estimations of quality indices and criterion of the maximum stability degree, the methods of synthesis of a robust regulator parametric is developed. The example of the robust stabilization system synthesis of the rope tension is given in this article. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=interval%20polynomial" title="interval polynomial">interval polynomial</a>, <a href="https://publications.waset.org/abstracts/search?q=controller%20synthesis" title=" controller synthesis"> controller synthesis</a>, <a href="https://publications.waset.org/abstracts/search?q=analysis%20of%20quality%20factors" title=" analysis of quality factors"> analysis of quality factors</a>, <a href="https://publications.waset.org/abstracts/search?q=maximum%20degree%20of%20stability" title=" maximum degree of stability"> maximum degree of stability</a>, <a href="https://publications.waset.org/abstracts/search?q=robust%20degree%20of%20stability" title=" robust degree of stability"> robust degree of stability</a>, <a href="https://publications.waset.org/abstracts/search?q=robust%20oscillation" title=" robust oscillation"> robust oscillation</a>, <a href="https://publications.waset.org/abstracts/search?q=system%20accuracy" title=" system accuracy "> system accuracy </a> </p> <a href="https://publications.waset.org/abstracts/2551/synthesis-of-the-robust-regulators-on-the-basis-of-the-criterion-of-the-maximum-stability-degree" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/2551.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">302</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7332</span> Stability and Performance Improvement of a Two-Degree-of-Freedom Robot under Interaction Using the Impedance Control</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Seyed%20Reza%20Mirdehghan">Seyed Reza Mirdehghan</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Reza%20Haeri%20Yazdi"> Mohammad Reza Haeri Yazdi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the stability and the performance of a two-degree-of-freedom robot under an interaction with a unknown environment has been investigated. The time when the robot returns to its initial position after an interaction and the primary resistance of the robot against the impact must be reduced. Thus, the applied torque on the motor will be reduced. The impedance control is an appropriate method for robot control in these conditions. The stability of the robot at interaction moment was transformed to be a robust stability problem. The dynamic of the unknown environment was modeled as a weight function and the stability of the robot under an interaction with the environment has been investigated using the robust control concept. To improve the performance of the system, a force controller has been designed which the normalized impedance after interaction has been reduced. The resistance of the robot has been considered as a normalized cost function and its value was 0.593. The results has showed reduction of resistance of the robot against impact and the reduction of convergence time by lower than one second. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=impedance%20control" title="impedance control">impedance control</a>, <a href="https://publications.waset.org/abstracts/search?q=control%20system" title=" control system"> control system</a>, <a href="https://publications.waset.org/abstracts/search?q=robots" title=" robots"> robots</a>, <a href="https://publications.waset.org/abstracts/search?q=interaction" title=" interaction"> interaction</a> </p> <a href="https://publications.waset.org/abstracts/15189/stability-and-performance-improvement-of-a-two-degree-of-freedom-robot-under-interaction-using-the-impedance-control" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/15189.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">430</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7331</span> Stability of Hybrid Stochastic Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Manlika%20Ratchagit">Manlika Ratchagit</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper is concerned with robust mean square stability of uncertain stochastic switched discrete time-delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the robust mean square stability for the uncertain stochastic discrete time-delay system is designed via linear matrix inequalities. Finally, some examples are exploited to illustrate the effectiveness of the proposed schemes. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=robust%20mean%20square%20stability" title="robust mean square stability">robust mean square stability</a>, <a href="https://publications.waset.org/abstracts/search?q=discrete-time%20stochastic%20systems" title=" discrete-time stochastic systems"> discrete-time stochastic systems</a>, <a href="https://publications.waset.org/abstracts/search?q=hybrid%20systems" title=" hybrid systems"> hybrid systems</a>, <a href="https://publications.waset.org/abstracts/search?q=interval%20time-varying%20delays" title=" interval time-varying delays"> interval time-varying delays</a>, <a href="https://publications.waset.org/abstracts/search?q=Lyapunov%20functional" title=" Lyapunov functional"> Lyapunov functional</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20matrix%20inequalities" title=" linear matrix inequalities"> linear matrix inequalities</a> </p> <a href="https://publications.waset.org/abstracts/20283/stability-of-hybrid-stochastic-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20283.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">485</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7330</span> New Results on Stability of Hybrid Stochastic Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Manlika%20Rajchakit">Manlika Rajchakit</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper is concerned with robust mean square stability of uncertain stochastic switched discrete time-delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the robust mean square stability for the uncertain stochastic discrete time-delay system is designed via linear matrix inequalities. Finally, some examples are exploited to illustrate the effectiveness of the proposed schemes. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=robust%20mean%20square%20stability" title="robust mean square stability">robust mean square stability</a>, <a href="https://publications.waset.org/abstracts/search?q=discrete-time%20stochastic%20systems" title=" discrete-time stochastic systems"> discrete-time stochastic systems</a>, <a href="https://publications.waset.org/abstracts/search?q=hybrid%20systems" title=" hybrid systems"> hybrid systems</a>, <a href="https://publications.waset.org/abstracts/search?q=interval%20time-varying%20delays" title=" interval time-varying delays"> interval time-varying delays</a>, <a href="https://publications.waset.org/abstracts/search?q=lyapunov%20functional" title=" lyapunov functional"> lyapunov functional</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20matrix%20inequalities" title=" linear matrix inequalities"> linear matrix inequalities</a> </p> <a href="https://publications.waset.org/abstracts/19809/new-results-on-stability-of-hybrid-stochastic-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/19809.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">429</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7329</span> Further Analysis of Global Robust Stability of Neural Networks with Multiple Time Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sabri%20Arik">Sabri Arik</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we study the global asymptotic robust stability of delayed neural networks with norm-bounded uncertainties. By employing the Lyapunov stability theory and Homeomorphic mapping theorem, we derive some new types of sufficient conditions ensuring the existence, uniqueness and global asymptotic stability of the equilibrium point for the class of neural networks with discrete time delays under parameter uncertainties and with respect to continuous and slopebounded activation functions. An important aspect of our results is their low computational complexity as the reported results can be verified by checking some properties symmetric matrices associated with the uncertainty sets of network parameters. The obtained results are shown to be generalization of some of the previously published corresponding results. Some comparative numerical examples are also constructed to compare our results with some closely related existing literature results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=neural%20networks" title="neural networks">neural networks</a>, <a href="https://publications.waset.org/abstracts/search?q=delayed%20systems" title=" delayed systems"> delayed systems</a>, <a href="https://publications.waset.org/abstracts/search?q=lyapunov%20functionals" title=" lyapunov functionals"> lyapunov functionals</a>, <a href="https://publications.waset.org/abstracts/search?q=stability%20analysis" title=" stability analysis"> stability analysis</a> </p> <a href="https://publications.waset.org/abstracts/24118/further-analysis-of-global-robust-stability-of-neural-networks-with-multiple-time-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/24118.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">528</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7328</span> Generic Polynomial of Integers and Applications</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nidal%20Ali">Nidal Ali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Consider an algebraic number field K of degree n, A0 K is its ring of integers and a prime number p inert in K. Let F(u1, . . . , un, x) be the generic polynomial of integers of K. We will study in advance the stability of this polynomial and then, we will apply it in order to obtain all the monic irreducible polynomials in Fp[x] of degree d dividing n. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=generic%20polynomial" title="generic polynomial">generic polynomial</a>, <a href="https://publications.waset.org/abstracts/search?q=irreducibility" title=" irreducibility"> irreducibility</a>, <a href="https://publications.waset.org/abstracts/search?q=iteration" title=" iteration"> iteration</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/abstracts/search?q=inert%20prime" title=" inert prime"> inert prime</a>, <a href="https://publications.waset.org/abstracts/search?q=totally%20ramified" title=" totally ramified"> totally ramified</a> </p> <a href="https://publications.waset.org/abstracts/16820/generic-polynomial-of-integers-and-applications" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/16820.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">346</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7327</span> Robust Control of a Dynamic Model of an F-16 Aircraft with Improved Damping through Linear Matrix Inequalities</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=J.%20P.%20P.%20Andrade">J. P. P. Andrade</a>, <a href="https://publications.waset.org/abstracts/search?q=V.%20A.%20F.%20Campos"> V. A. F. Campos</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work presents an application of Linear Matrix Inequalities (LMI) for the robust control of an F-16 aircraft through an algorithm ensuring the damping factor to the closed loop system. The results show that the zero and gain settings are sufficient to ensure robust performance and stability with respect to various operating points. The technique used is the pole placement, which aims to put the system in closed loop poles in a specific region of the complex plane. Test results using a dynamic model of the F-16 aircraft are presented and discussed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=F-16%20aircraft" title="F-16 aircraft">F-16 aircraft</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20matrix%20inequalities" title=" linear matrix inequalities"> linear matrix inequalities</a>, <a href="https://publications.waset.org/abstracts/search?q=pole%20placement" title=" pole placement"> pole placement</a>, <a href="https://publications.waset.org/abstracts/search?q=robust%20control" title=" robust control"> robust control</a> </p> <a href="https://publications.waset.org/abstracts/58790/robust-control-of-a-dynamic-model-of-an-f-16-aircraft-with-improved-damping-through-linear-matrix-inequalities" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/58790.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">306</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7326</span> Robust Model Predictive Controller for Uncertain Nonlinear Wheeled Inverted Pendulum Systems: A Tube-Based Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Tran%20Gia%20Khanh">Tran Gia Khanh</a>, <a href="https://publications.waset.org/abstracts/search?q=Dao%20Phuong%20Nam"> Dao Phuong Nam</a>, <a href="https://publications.waset.org/abstracts/search?q=Do%20Trong%20Tan"> Do Trong Tan</a>, <a href="https://publications.waset.org/abstracts/search?q=Nguyen%20Van%20Huong"> Nguyen Van Huong</a>, <a href="https://publications.waset.org/abstracts/search?q=Mai%20Xuan%20Sinh"> Mai Xuan Sinh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work presents the problem of tube-based robust model predictive controller for a class of continuous-time systems in the presence of input disturbances. The main objective is to point out the state trajectory of closed system being maintained inside a sequence of tubes. An estimation of attraction region of the closed system is pointed out based on input state stability (ISS) theory and linearized model in each time interval. The theoretical analysis and simulation results demonstrate the performance of the proposed algorithm for a wheeled inverted pendulum system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=input%20state%20stability%20%28ISS%29" title="input state stability (ISS)">input state stability (ISS)</a>, <a href="https://publications.waset.org/abstracts/search?q=tube-based%20robust%20MPC" title=" tube-based robust MPC"> tube-based robust MPC</a>, <a href="https://publications.waset.org/abstracts/search?q=continuous-time%20nonlinear%20systems" title=" continuous-time nonlinear systems"> continuous-time nonlinear systems</a>, <a href="https://publications.waset.org/abstracts/search?q=wheeled%20inverted%20pendulum" title=" wheeled inverted pendulum"> wheeled inverted pendulum</a> </p> <a href="https://publications.waset.org/abstracts/80455/robust-model-predictive-controller-for-uncertain-nonlinear-wheeled-inverted-pendulum-systems-a-tube-based-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/80455.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">220</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7325</span> Effect of Slope Angle on Gougerd Landslide Stability in Northwest of Iran</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Akbar%20Khodavirdizadeh">Akbar Khodavirdizadeh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Gougerd village landslide with area about 150 hectares is located in southwest of Khoy city in northwest of the Iran. This Landslide was commenced more than 21 years and caused some damages in houses like some fissures on walls and some cracks on ground and foundations. The main mechanism of landslide is rotational with the high different of top and foot is about 230 m. The thickness of slide mass based on geoelectrical investigation is about 16m obtained. The upper layer of slope is silty sand and the lower layer of clayey gravel. In this paper, the stability of landslide are analyzed based in static analysis under different groundwater surface conditions and at slope angle changes with limit eqlibrium method and the simplified Bishop method. The results of the 72 stability analysis showed that the slope stability of Gougerd landslide increased with increasing of the groundwater surface depth of slope crown. And especially when decreased of slope angle, the safety facter more than in previous state is increased. The required of safety factor for stability in groundwater surface depth from slope crown equal 14 m and with decreased of slope angle to 3 degree at decrease of groundwater surface depth from slope crown equal 6.5 m obtained. The safety factor in critical conditions under groundwater surface depth from slope crown equal 3.5 m and at decreased of slope angle to 3 degree equal 0.5 m obtained. At groudwater surface depth from slope crown of 3 m, 7 m and 10 m respectively equal to 0.97, 1.19 and 1.33 obtained. At groudwater surface depth from slope crown of 3 m, 7 m and 10 m with decreased of slope angle to 3 degree, respectively equal to 1.27, 1.54 and 1.72 obtained. According to the results of this study, for 1 m of groundwater level decrease, the safety factor increased by 5%, and for 1 degree of reduction of the slope angle, safety factor increased by 15%. And the effect of slope angle on Gougerd landslide stability was felt more than groundwater effect. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gougerd%20landslide" title="Gougerd landslide">Gougerd landslide</a>, <a href="https://publications.waset.org/abstracts/search?q=stability%20analysis" title=" stability analysis"> stability analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=slope%20angle" title=" slope angle"> slope angle</a>, <a href="https://publications.waset.org/abstracts/search?q=groundwater" title=" groundwater"> groundwater</a>, <a href="https://publications.waset.org/abstracts/search?q=Khoy" title=" Khoy"> Khoy</a> </p> <a href="https://publications.waset.org/abstracts/137553/effect-of-slope-angle-on-gougerd-landslide-stability-in-northwest-of-iran" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/137553.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">169</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7324</span> Robust Attitude Control for Agile Satellites with Vibration Compensation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jair%20Serv%C3%ADn-Aguilar">Jair Servín-Aguilar</a>, <a href="https://publications.waset.org/abstracts/search?q=Yu%20Tang"> Yu Tang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We address the problem of robust attitude tracking for agile satellites under unknown bounded torque disturbances using a double-gimbal variable-speed control-moment gyro (DGVSCMG) driven by a cluster of three permanent magnet synchronous motors (PMSMs). Uniform practical asymptotic stability is achieved at the torque control level first. The desired speed of gimbals and the acceleration of the spin wheel to produce the required torque are then calculated by a velocity-based steering law and tracked at the PMSM speed-control level by designing a speed-tracking controller with compensation for the vibration caused by eccentricity and imbalance due to mechanical imperfection in the DGVSCMG. Uniform practical asymptotic stability of the overall system is ensured by loan relying on the analysis of the resulting cascaded system. Numerical simulations are included to show the performance improvement of the proposed controller. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=agile%20satellites" title="agile satellites">agile satellites</a>, <a href="https://publications.waset.org/abstracts/search?q=vibration%20compensation" title=" vibration compensation"> vibration compensation</a>, <a href="https://publications.waset.org/abstracts/search?q=internal%20model" title=" internal model"> internal model</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a> </p> <a href="https://publications.waset.org/abstracts/154458/robust-attitude-control-for-agile-satellites-with-vibration-compensation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/154458.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">114</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7323</span> Sliding Mode Power System Stabilizer for Synchronous Generator Stability Improvement</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=J.%20Ritonja">J. Ritonja</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20Brezovnik"> R. Brezovnik</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Petrun"> M. Petrun</a>, <a href="https://publications.waset.org/abstracts/search?q=B.%20Polaj%C5%BEer"> B. Polajžer</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Many modern synchronous generators in power systems are extremely weakly damped. The reasons are cost optimization of the machine building and introduction of the additional control equipment into power systems. Oscillations of the synchronous generators and related stability problems of the power systems are harmful and can lead to failures in operation and to damages. The only useful solution to increase damping of the unwanted oscillations represents the implementation of the power system stabilizers. Power system stabilizers generate the additional control signal which changes synchronous generator field excitation voltage. Modern power system stabilizers are integrated into static excitation systems of the synchronous generators. Available commercial power system stabilizers are based on linear control theory. Due to the nonlinear dynamics of the synchronous generator, current stabilizers do not assure optimal damping of the synchronous generator’s oscillations in the entire operating range. For that reason the use of the robust power system stabilizers which are convenient for the entire operating range is reasonable. There are numerous robust techniques applicable for the power system stabilizers. In this paper the use of sliding mode control for synchronous generator stability improvement is studied. On the basis of the sliding mode theory, the robust power system stabilizer was developed. The main advantages of the sliding mode controller are simple realization of the control algorithm, robustness to parameter variations and elimination of disturbances. The advantage of the proposed sliding mode controller against conventional linear controller was tested for damping of the synchronous generator oscillations in the entire operating range. Obtained results show the improved damping in the entire operating range of the synchronous generator and the increase of the power system stability. The proposed study contributes to the progress in the development of the advanced stabilizer, which will replace conventional linear stabilizers and improve damping of the synchronous generators. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=control%20theory" title="control theory">control theory</a>, <a href="https://publications.waset.org/abstracts/search?q=power%20system%20stabilizer" title=" power system stabilizer"> power system stabilizer</a>, <a href="https://publications.waset.org/abstracts/search?q=robust%20control" title=" robust control"> robust control</a>, <a href="https://publications.waset.org/abstracts/search?q=sliding%20mode%20control" title=" sliding mode control"> sliding mode control</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/abstracts/search?q=synchronous%20generator" title=" synchronous generator"> synchronous generator</a> </p> <a href="https://publications.waset.org/abstracts/99856/sliding-mode-power-system-stabilizer-for-synchronous-generator-stability-improvement" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/99856.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">225</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7322</span> Comparison of Conventional Control and Robust Control on Double-Pipe Heat Exchanger</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hanan%20Rizk">Hanan Rizk</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A heat exchanger is a device used to mix liquids having different temperatures. In this case, the temperature control becomes a critical objective. This research work presents the temperature control of the double-pipe heat exchanger (multi-input multi-output (MIMO) system), which is modeled as first-order coupled hyperbolic partial differential equations (PDEs), using conventional and advanced control techniques and develops appropriate robust control strategy to meet stability requirements and performance objectives. We designed a PID controller and H-infinity controller for a heat exchanger (HE) system. Frequency characteristics of sensitivity functions and open-loop and closed-loop time responses are simulated using MATLAB software, and the stability of the system is analyzed using Kalman's test. The simulation results have demonstrated that the H-infinity controller is more efficient than PID in terms of robustness and performance. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=heat%20exchanger" title="heat exchanger">heat exchanger</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-input%20multi-output%20system" title=" multi-input multi-output system"> multi-input multi-output system</a>, <a href="https://publications.waset.org/abstracts/search?q=MATLAB%20simulation" title=" MATLAB simulation"> MATLAB simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=partial%20differential%20equations" title=" partial differential equations"> partial differential equations</a>, <a href="https://publications.waset.org/abstracts/search?q=PID%20controller" title=" PID controller"> PID controller</a>, <a href="https://publications.waset.org/abstracts/search?q=robust%20control" title=" robust control"> robust control</a> </p> <a href="https://publications.waset.org/abstracts/138748/comparison-of-conventional-control-and-robust-control-on-double-pipe-heat-exchanger" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/138748.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">220</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7321</span> Fabrication of Chitosan/Polyacrylonitrile Blend and SEMI-IPN Hydrogel with Epichlorohydrin</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muhammad%20Omer%20Aijaz">Muhammad Omer Aijaz</a>, <a href="https://publications.waset.org/abstracts/search?q=Sajjad%20Haider"> Sajjad Haider</a>, <a href="https://publications.waset.org/abstracts/search?q=Fahad%20S.%20Al%20Mubddal"> Fahad S. Al Mubddal</a>, <a href="https://publications.waset.org/abstracts/search?q=Yousef%20Al-Zeghayer"> Yousef Al-Zeghayer</a>, <a href="https://publications.waset.org/abstracts/search?q=Waheed%20A.%20Al%20Masry"> Waheed A. Al Masry</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The present study is focused on the preparation of chitosan-based blend and Semi-Interpenetrating Polymer Network (SEMI-IPN) with polyacrylonitrile (PAN). Blend Chitosan/Polyacrylonitrile (PAN) hydrogel films were prepared by solution blending and casting technique. Chitosan in the blend was cross-linked with epichlorohydrin (ECH) to prepare SEMI-IPN. The developed Chitosan/PAN blend and SEMI-IPN hydrogels were characterized with SEM, FTIR, TGA, and DSC. The result showed good miscibility between chitosan and PAN, crosslinking of chitosan in the blend, and improved thermal properties for SEMI-IPN. The swelling of the different blended and SEMI-IPN hydrogels samples were examined at room temperature. Blend (C80/P20) sample showed highest swelling (2400%) and fair degree of stability (28%) whereas SEMI-IPN hydrogel exhibited relatively low degree of swelling (244%) and high degree of aqueous stability (85.5%). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=polymer%20hydrogels" title="polymer hydrogels">polymer hydrogels</a>, <a href="https://publications.waset.org/abstracts/search?q=chitosan" title=" chitosan"> chitosan</a>, <a href="https://publications.waset.org/abstracts/search?q=SEMI-IPN" title=" SEMI-IPN"> SEMI-IPN</a>, <a href="https://publications.waset.org/abstracts/search?q=polyacrylonitrile" title=" polyacrylonitrile"> polyacrylonitrile</a>, <a href="https://publications.waset.org/abstracts/search?q=epichlorohydrin" title=" epichlorohydrin"> epichlorohydrin</a> </p> <a href="https://publications.waset.org/abstracts/3854/fabrication-of-chitosanpolyacrylonitrile-blend-and-semi-ipn-hydrogel-with-epichlorohydrin" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/3854.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">373</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7320</span> H∞robust Control Law for a Speed Dc Motor in Both Directions of Rotation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ben%20Abdallah%20Aicha">Ben Abdallah Aicha</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work we show a H∞ synthesis method which enables us to calculate a feedback controller according to considerations of stability robustness and disturbance rejection translated on to the open loop response. However, it may happen that we have an additional specification on the closed loop response relating to tracking of the reference trajectory. The H∞ synthesis has the advantage of offering increased specifications in robustness stability. Implemented for a DC motor, it offers invaluable performance in speed control in both directions of rotation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=H%E2%88%9E%20synthesis" title="H∞ synthesis">H∞ synthesis</a>, <a href="https://publications.waset.org/abstracts/search?q=DC%20motor" title=" DC motor"> DC motor</a>, <a href="https://publications.waset.org/abstracts/search?q=robustness%20stability" title=" robustness stability"> robustness stability</a>, <a href="https://publications.waset.org/abstracts/search?q=performance%20conditions" title=" performance conditions"> performance conditions</a> </p> <a href="https://publications.waset.org/abstracts/172911/hrobust-control-law-for-a-speed-dc-motor-in-both-directions-of-rotation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/172911.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">84</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7319</span> Weighted G2 Multi-Degree Reduction of Bezier Curves</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Salisu%20ibrahim">Salisu ibrahim</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdalla%20Rababah"> Abdalla Rababah</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this research, we use Weighted G2-Multi-degree reduction of Bezier curve of degree n to a Bezier curve of degree m, m < n. The degree reduction of Bezier curves is used to represent a given Bezier curve of n by a Bezier curve of degree m, m < n. Exact degree reduction is not possible, and degree reduction is approximate process in nature. We derive a weighted degree reducing method that is geometrically continuous at the end points. Different norms will be considered, several error minimizations will be given. The proposed methods produce error function that are less than the errors of existing methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bezier%20curves" title="Bezier curves">Bezier curves</a>, <a href="https://publications.waset.org/abstracts/search?q=multiple%20degree%20reduction" title=" multiple degree reduction"> multiple degree reduction</a>, <a href="https://publications.waset.org/abstracts/search?q=geometric%20continuity" title=" geometric continuity"> geometric continuity</a>, <a href="https://publications.waset.org/abstracts/search?q=error%20function" title=" error function"> error function</a> </p> <a href="https://publications.waset.org/abstracts/18669/weighted-g2-multi-degree-reduction-of-bezier-curves" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18669.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">482</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7318</span> Fast Robust Switching Control Scheme for PWR-Type Nuclear Power Plants</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Piyush%20V.%20Surjagade">Piyush V. Surjagade</a>, <a href="https://publications.waset.org/abstracts/search?q=Jiamei%20Deng"> Jiamei Deng</a>, <a href="https://publications.waset.org/abstracts/search?q=Paul%20Doney"> Paul Doney</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20R.%20Shimjith"> S. R. Shimjith</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20John%20Arul"> A. John Arul</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In sophisticated and complex systems such as nuclear power plants, maintaining the system's stability in the presence of uncertainties and disturbances and obtaining a fast dynamic response are the most challenging problems. Thus, to ensure the satisfactory and safe operation of nuclear power plants, this work proposes a new fast, robust optimal switching control strategy for pressurized water reactor-type nuclear power plants. The proposed control strategy guarantees a substantial degree of robustness, fast dynamic response over the entire operational envelope, and optimal performance during the nominal operation of the plant. To improve the robustness, obtain a fast dynamic response, and make the system optimal, a bank of controllers is designed. Various controllers, like a baseline proportional-integral-derivative controller, an optimal linear quadratic Gaussian controller, and a robust adaptive L1 controller, are designed to perform distinct tasks in a specific situation. At any instant of time, the most suitable controller from the bank of controllers is selected using the switching logic unit that designates the controller by monitoring the health of the nuclear power plant or transients. The proposed switching control strategy optimizes the overall performance and increases operational safety and efficiency. Simulation studies have been performed considering various uncertainties and disturbances that demonstrate the applicability and effectiveness of the proposed switching control strategy over some conventional control techniques. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=switching%20control" title="switching control">switching control</a>, <a href="https://publications.waset.org/abstracts/search?q=robust%20control" title=" robust control"> robust control</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20control" title=" optimal control"> optimal control</a>, <a href="https://publications.waset.org/abstracts/search?q=nuclear%20power%20control" title=" nuclear power control"> nuclear power control</a> </p> <a href="https://publications.waset.org/abstracts/163571/fast-robust-switching-control-scheme-for-pwr-type-nuclear-power-plants" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/163571.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">134</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7317</span> Designing a Robust Controller for a 6 Linkage Robot </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=G.%20Khamooshian">G. Khamooshian</a> </p> <p class="card-text"><strong>Abstract:</strong></p> One of the main points of application of the mechanisms of the series and parallel is the subject of managing them. The control of this mechanism and similar mechanisms is one that has always been the intention of the scholars. On the other hand, modeling the behavior of the system is difficult due to the large number of its parameters, and it leads to complex equations that are difficult to solve and eventually difficult to control. In this paper, a six-linkage robot has been presented that could be used in different areas such as medical robots. Using these robots needs a robust control. In this paper, the system equations are first found, and then the system conversion function is written. A new controller has been designed for this robot which could be used in other parallel robots and could be very useful. Parallel robots are so important in robotics because of their stability, so methods for control of them are important and the robust controller, especially in parallel robots, makes a sense. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=3-RRS" title="3-RRS">3-RRS</a>, <a href="https://publications.waset.org/abstracts/search?q=6%20linkage" title=" 6 linkage"> 6 linkage</a>, <a href="https://publications.waset.org/abstracts/search?q=parallel%20robot" title=" parallel robot"> parallel robot</a>, <a href="https://publications.waset.org/abstracts/search?q=control" title=" control"> control</a> </p> <a href="https://publications.waset.org/abstracts/100326/designing-a-robust-controller-for-a-6-linkage-robot" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/100326.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">159</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7316</span> Fatty Acid Structure and Composition Effects of Biodiesel on Its Oxidative Stability</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gelu%20Varghese">Gelu Varghese</a>, <a href="https://publications.waset.org/abstracts/search?q=Khizer%20Saeed"> Khizer Saeed</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Biodiesel is as a mixture of mono-alkyl esters of long chain fatty acids derived from vegetable oils or animal fats. Recent studies in the literature suggest that end property of biodiesel such as its oxidative stability (OS) is highly influenced by the structure and composition of its alkyl esters than by environmental conditions. The structure and composition of these long chain fatty acid components have been also associated with trends in Cetane number, heat of combustion, cold flow properties viscosity, and lubricity. In the present work, detailed investigation has been carried out to decouple and correlate the fatty acid structure indices of biodiesel such as degree of unsaturation, chain length, double bond orientation, and composition with its oxidative stability. Measurements were taken using the EN14214 established Rancimat oxidative stability test method (EN141120). Firstly, effects of the degree of unsaturation, chain length and bond orientation were tested for the pure fatty acids to establish their oxidative stability. Results for pure Fatty acid show that Saturated FAs are more stable than unsaturated ones to oxidation; superior oxidative stability can be achieved by blending biodiesel fuels with relatively high in saturated fatty acid contents. A lower oxidative stability is noticed when a greater quantity of double bonds is present in the methyl ester. A strong inverse relationship with the number of double bonds and the Rancimat IP values can be identified. Trans isomer Methyl elaidate shows superior stability to oxidation than its cis isomer methyl oleate (7.2 vs. 2.3). Secondly, the effects of the variation in the composition of the biodiesel were investigated and established. Finally, biodiesels with varying structure and composition were investigated and correlated. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=biodiesel" title="biodiesel">biodiesel</a>, <a href="https://publications.waset.org/abstracts/search?q=fame" title=" fame"> fame</a>, <a href="https://publications.waset.org/abstracts/search?q=oxidative%20stability" title=" oxidative stability"> oxidative stability</a>, <a href="https://publications.waset.org/abstracts/search?q=fatty%20acid%20structure" title=" fatty acid structure"> fatty acid structure</a>, <a href="https://publications.waset.org/abstracts/search?q=acid%20composition" title=" acid composition"> acid composition</a> </p> <a href="https://publications.waset.org/abstracts/52232/fatty-acid-structure-and-composition-effects-of-biodiesel-on-its-oxidative-stability" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/52232.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">286</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7315</span> Robust ANOVA: An Illustrative Study in Horticultural Crop Research</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Dinesh%20Inamadar">Dinesh Inamadar</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20Venugopalan"> R. Venugopalan</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20Padmini"> K. Padmini</a> </p> <p class="card-text"><strong>Abstract:</strong></p> An attempt has been made in the present communication to elucidate the efficacy of robust ANOVA methods to analyze horticultural field experimental data in the presence of outliers. Results obtained fortify the use of robust ANOVA methods as there was substantiate reduction in error mean square, and hence the probability of committing Type I error, as compared to the regular approach. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=outliers" title="outliers">outliers</a>, <a href="https://publications.waset.org/abstracts/search?q=robust%20ANOVA" title=" robust ANOVA"> robust ANOVA</a>, <a href="https://publications.waset.org/abstracts/search?q=horticulture" title=" horticulture"> horticulture</a>, <a href="https://publications.waset.org/abstracts/search?q=cook%20distance" title=" cook distance"> cook distance</a>, <a href="https://publications.waset.org/abstracts/search?q=type%20I%20error" title=" type I error"> type I error</a> </p> <a href="https://publications.waset.org/abstracts/21320/robust-anova-an-illustrative-study-in-horticultural-crop-research" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/21320.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">390</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7314</span> Optimal Risk and Financial Stability </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rahmoune%20Abdelhaq">Rahmoune Abdelhaq</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Systemic risk is a key concern for central banks charged with safeguarding overall financial stability. In this work, we investigate how systemic risk is affected by the structure of the financial system. We construct banking systems that are composed of a number of banks that are connected by interbank linkages. We then vary the key parameters that define the structure of the financial system — including its level of capitalization, the degree to which banks are connected, the size of interbank exposures and the degree of concentration of the system — and analyses the influence of these parameters on the likelihood of contagious (knock-on) defaults. First, we find that the better-capitalized banks are, the more resilient is the banking system against contagious defaults and this effect is non-linear. Second, the effect of the degree of connectivity is non-monotonic, that is, initially a small increase in connectivity increases the contagion effect; but after a certain threshold value, connectivity improves the ability of a banking system to absorb shocks. Third, the size of interbank liabilities tends to increase the risk of knock-on default, even if banks hold capital against such exposures. Fourth, more concentrated banking systems are shown to be prone to larger systemic risk, all else equal. In an extension to the main analysis, we study how liquidity effects interact with banking structure to produce a greater chance of systemic breakdown. We finally consider how the risk of contagion might depend on the degree of asymmetry (tier) inherent in the structure of the banking system. A number of our results have important implications for public policy, which this paper also draws out. This paper also discusses why bank risk management is needed to get the optimal one. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=financial%20stability" title="financial stability">financial stability</a>, <a href="https://publications.waset.org/abstracts/search?q=contagion" title=" contagion"> contagion</a>, <a href="https://publications.waset.org/abstracts/search?q=liquidity%20risk" title=" liquidity risk"> liquidity risk</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20risk" title=" optimal risk"> optimal risk</a> </p> <a href="https://publications.waset.org/abstracts/34529/optimal-risk-and-financial-stability" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/34529.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">400</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7313</span> H-Infinity and RST Position Controllers of Rotary Traveling Wave Ultrasonic Motor</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Brahim">M. Brahim</a>, <a href="https://publications.waset.org/abstracts/search?q=I.%20Bahri"> I. Bahri</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Bernard"> Y. Bernard</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Traveling Wave Ultrasonic Motor (TWUM) is a compact, precise, and silent actuator generating high torque at low speed without gears. Moreover, the TWUM has a high holding torque without supply, which makes this motor as an attractive solution for holding position of robotic arms. However, their nonlinear dynamics, and the presence of load-dependent dead zones often limit their use. Those issues can be overcome in closed loop with effective and precise controllers. In this paper, robust H-infinity (H∞) and discrete time RST position controllers are presented. The H∞ controller is designed in continuous time with additional weighting filters to ensure the robustness in the case of uncertain motor model and external disturbances. Robust RST controller based on the pole placement method is also designed and compared to the H∞. Simulink model of TWUM is used to validate the stability and the robustness of the two proposed controllers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=piezoelectric%20motors" title="piezoelectric motors">piezoelectric motors</a>, <a href="https://publications.waset.org/abstracts/search?q=position%20control" title=" position control"> position control</a>, <a href="https://publications.waset.org/abstracts/search?q=H%E2%88%9E" title=" H∞"> H∞</a>, <a href="https://publications.waset.org/abstracts/search?q=RST" title=" RST"> RST</a>, <a href="https://publications.waset.org/abstracts/search?q=stability%20criteria" title=" stability criteria"> stability criteria</a>, <a href="https://publications.waset.org/abstracts/search?q=robustness" title=" robustness"> robustness</a> </p> <a href="https://publications.waset.org/abstracts/55691/h-infinity-and-rst-position-controllers-of-rotary-traveling-wave-ultrasonic-motor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/55691.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">244</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7312</span> Application of Liquid Chromatographic Method for the in vitro Determination of Gastric and Intestinal Stability of Pure Andrographolide in the Extract of Andrographis paniculata</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Vijay%20R.%20Patil">Vijay R. Patil</a>, <a href="https://publications.waset.org/abstracts/search?q=Sathiyanarayanan%20Lohidasan"> Sathiyanarayanan Lohidasan</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20R.%20Mahadik"> K. R. Mahadik</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Gastrointestinal stability of andrographolide was evaluated in vitro in simulated gastric (SGF) and intestinal (SIF) fluids using a validated HPLC-PDA method. The method was validated using a 5μm ThermoHypersil GOLD C18column (250 mm × 4.0 mm) and mobile phase consisting of water: acetonitrile; 70: 30 (v/v) delivered isocratically at a flow rate of 1 mL/min with UV detection at 228 nm. Andrographolide in pure form and extract Andrographis paniculata was incubated at 37°C in an incubator shaker in USP simulated gastric and intestinal fluids with and without enzymes. Systematic protocol as per FDA Guidance System was followed for stability study and samples were assayed at 0, 15, 30 and 60 min intervals for gastric and at 0, 15, 30, 60 min, 1, 2 and 3 h for intestinal stability study. Also, the stability study was performed up to 24 h to see the degradation pattern in SGF and SIF (with enzyme and without enzyme). The developed method was found to be accurate, precise and robust. Andrographolide was found to be stable in SGF (pH ∼ 1.2) for 1h and SIF (pH 6.8) up to 3 h. The relative difference (RD) of amount of drug added and found at all time points was found to be < 3%. The present study suggests that drug loss in the gastrointestinal tract takes place may be by membrane permeation rather than a degradation process. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=andrographolide" title="andrographolide">andrographolide</a>, <a href="https://publications.waset.org/abstracts/search?q=Andrographis%20paniculata" title=" Andrographis paniculata"> Andrographis paniculata</a>, <a href="https://publications.waset.org/abstracts/search?q=in%20vitro" title=" in vitro"> in vitro</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/abstracts/search?q=gastric" title=" gastric"> gastric</a>, <a href="https://publications.waset.org/abstracts/search?q=Intestinal%20HPLC-PDA" title=" Intestinal HPLC-PDA"> Intestinal HPLC-PDA</a> </p> <a href="https://publications.waset.org/abstracts/78553/application-of-liquid-chromatographic-method-for-the-in-vitro-determination-of-gastric-and-intestinal-stability-of-pure-andrographolide-in-the-extract-of-andrographis-paniculata" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/78553.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">243</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7311</span> Cartel Formation with Differentiated Products, Asymmetric Cost, and Quantity Competition: The Case of Three Firms</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Burkhard%20Hehenkamp">Burkhard Hehenkamp</a>, <a href="https://publications.waset.org/abstracts/search?q=Tahmina%20Faizi"> Tahmina Faizi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we analyze the formation of cartels along with the stability of the cartel for the case of three firms that produce differentiated products and differ in their cost of production. Both cost and demand are linear, and firms compete in quantities once a cartel has been formed (or not). It turns out that the degree of product differentiation has a direct effect on the incentive to form a cartel. Firstly, when goods are complements or close substitutes, firms form a grand coalition. Secondly, for weak and medium substitutes, the firm with the lowest cost prefers to remain independent, while both other firms form a coalition. We also find that the producer profit of the stable coalition structure is nonmonotonic in the degree of product differentiation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=collusion" title="collusion">collusion</a>, <a href="https://publications.waset.org/abstracts/search?q=cartel%20formation" title=" cartel formation"> cartel formation</a>, <a href="https://publications.waset.org/abstracts/search?q=cartel%20stability" title=" cartel stability"> cartel stability</a>, <a href="https://publications.waset.org/abstracts/search?q=differentiated%20market" title=" differentiated market"> differentiated market</a>, <a href="https://publications.waset.org/abstracts/search?q=quantity%20competition" title=" quantity competition"> quantity competition</a>, <a href="https://publications.waset.org/abstracts/search?q=oligopolies" title=" oligopolies"> oligopolies</a> </p> <a href="https://publications.waset.org/abstracts/152880/cartel-formation-with-differentiated-products-asymmetric-cost-and-quantity-competition-the-case-of-three-firms" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/152880.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">96</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7310</span> Global Mittag-Leffler Stability of Fractional-Order Bidirectional Associative Memory Neural Network with Discrete and Distributed Transmission Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Swati%20Tyagi">Swati Tyagi</a>, <a href="https://publications.waset.org/abstracts/search?q=Syed%20Abbas"> Syed Abbas</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Fractional-order Hopfield neural networks are generally used to model the information processing among the interacting neurons. To show the constancy of the processed information, it is required to analyze the stability of these systems. In this work, we perform Mittag-Leffler stability for the corresponding Caputo fractional-order bidirectional associative memory (BAM) neural networks with various time-delays. We derive sufficient conditions to ensure the existence and uniqueness of the equilibrium point by using the theory of topological degree theory. By applying the fractional Lyapunov method and Mittag-Leffler functions, we derive sufficient conditions for the global Mittag-Leffler stability, which further imply the global asymptotic stability of the network equilibrium. Finally, we present two suitable examples to show the effectiveness of the obtained results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bidirectional%20associative%20memory%20neural%20network" title="bidirectional associative memory neural network">bidirectional associative memory neural network</a>, <a href="https://publications.waset.org/abstracts/search?q=existence%20and%20uniqueness" title=" existence and uniqueness"> existence and uniqueness</a>, <a href="https://publications.waset.org/abstracts/search?q=fractional-order" title=" fractional-order"> fractional-order</a>, <a href="https://publications.waset.org/abstracts/search?q=Lyapunov%20function" title=" Lyapunov function"> Lyapunov function</a>, <a href="https://publications.waset.org/abstracts/search?q=Mittag-Leffler%20stability" title=" Mittag-Leffler stability"> Mittag-Leffler stability</a> </p> <a href="https://publications.waset.org/abstracts/52374/global-mittag-leffler-stability-of-fractional-order-bidirectional-associative-memory-neural-network-with-discrete-and-distributed-transmission-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/52374.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">364</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7309</span> The Bernstein Expansion for Exponentials in Taylor Functions: Approximation of Fixed Points</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Tareq%20Hamadneh">Tareq Hamadneh</a>, <a href="https://publications.waset.org/abstracts/search?q=Jochen%20Merker"> Jochen Merker</a>, <a href="https://publications.waset.org/abstracts/search?q=Hassan%20Al-Zoubi"> Hassan Al-Zoubi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Bernstein's expansion for exponentials in Taylor functions provides lower and upper optimization values for the range of its original function. these values converge to the original functions if the degree is elevated or the domain subdivided. Taylor polynomial can be applied so that the exponential is a polynomial of finite degree over a given domain. Bernstein's basis has two main properties: its sum equals 1, and positive for all x 2 (0; 1). In this work, we prove the existence of fixed points for exponential functions in a given domain using the optimization values of Bernstein. The Bernstein basis of finite degree T over a domain D is defined non-negatively. Any polynomial p of degree t can be expanded into the Bernstein form of maximum degree t ≤ T, where we only need to compute the coefficients of Bernstein in order to optimize the original polynomial. The main property is that p(x) is approximated by the minimum and maximum Bernstein coefficients (Bernstein bound). If the bound is contained in the given domain, then we say that p(x) has fixed points in the same domain. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bernstein%20polynomials" title="Bernstein polynomials">Bernstein polynomials</a>, <a href="https://publications.waset.org/abstracts/search?q=Stability%20of%20control%20functions" title="Stability of control functions">Stability of control functions</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20optimization" title="numerical optimization">numerical optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=Taylor%20function" title="Taylor function">Taylor function</a> </p> <a href="https://publications.waset.org/abstracts/149910/the-bernstein-expansion-for-exponentials-in-taylor-functions-approximation-of-fixed-points" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/149910.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">135</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7308</span> A Robust Model Predictive Control for a Photovoltaic Pumping System Subject to Actuator Saturation Nonlinearity and Parameter Uncertainties: A Linear Matrix Inequality Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sofiane%20Bououden">Sofiane Bououden</a>, <a href="https://publications.waset.org/abstracts/search?q=Ilyes%20Boulkaibet"> Ilyes Boulkaibet</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a robust model predictive controller (RMPC) for uncertain nonlinear system under actuator saturation is designed to control a DC-DC buck converter in PV pumping application, where this system is subject to actuator saturation and parameter uncertainties. The considered nonlinear system contains a linear constant part perturbed by an additive state-dependent nonlinear term. Based on the saturating actuator property, an appropriate linear feedback control law is constructed and used to minimize an infinite horizon cost function within the framework of linear matrix inequalities. The proposed approach has successfully provided a solution to the optimization problem that can stabilize the nonlinear plants. Furthermore, sufficient conditions for the existence of the proposed controller guarantee the robust stability of the system in the presence of polytypic uncertainties. In addition, the simulation results have demonstrated the efficiency of the proposed control scheme. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=PV%20pumping%20system" title="PV pumping system">PV pumping system</a>, <a href="https://publications.waset.org/abstracts/search?q=DC-DC%20buck%20converter" title=" DC-DC buck converter"> DC-DC buck converter</a>, <a href="https://publications.waset.org/abstracts/search?q=robust%20model%20predictive%20controller" title=" robust model predictive controller"> robust model predictive controller</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20system" title=" nonlinear system"> nonlinear system</a>, <a href="https://publications.waset.org/abstracts/search?q=actuator%20saturation" title=" actuator saturation"> actuator saturation</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20matrix%20inequality" title=" linear matrix inequality"> linear matrix inequality</a> </p> <a href="https://publications.waset.org/abstracts/141317/a-robust-model-predictive-control-for-a-photovoltaic-pumping-system-subject-to-actuator-saturation-nonlinearity-and-parameter-uncertainties-a-linear-matrix-inequality-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/141317.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">181</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7307</span> Impact of Globalization on Youth Bulge and Civil Unrest: An Empirical Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Swetasree%20Roy">Swetasree Roy</a>, <a href="https://publications.waset.org/abstracts/search?q=Subaran%20Roy"> Subaran Roy</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The contemporary literature documents globalization affects the stability of a country in three ways i) it increases peace ii) it decreases the likelihood of civil unrest, and iii) it creates employment. In this paper, we show that unemployment amongst youth plays a significant role in the effect of globalization and the internal stability of a country. Using recent data on globalization for 88 countries (2000-2014), we examine whether the presence of a large section of youth exacerbates the negative effects of globalization, thereby increasing chances of civil unrest. Using recent measures of globalization, we find globalization affect adversely on the stability of a country. Our results indicate that globalization in the presence of a high youth unemployment rate can create more instability in an economy. Results are robust in the presence of other socio-economic variables. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=globalization" title="globalization">globalization</a>, <a href="https://publications.waset.org/abstracts/search?q=youth%20bulge" title=" youth bulge"> youth bulge</a>, <a href="https://publications.waset.org/abstracts/search?q=civil%20unrest" title=" civil unrest"> civil unrest</a>, <a href="https://publications.waset.org/abstracts/search?q=unemployment" title=" unemployment"> unemployment</a> </p> <a href="https://publications.waset.org/abstracts/116268/impact-of-globalization-on-youth-bulge-and-civil-unrest-an-empirical-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/116268.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">154</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7306</span> Robust Variable Selection Based on Schwarz Information Criterion for Linear Regression Models</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shokrya%20Saleh%20A.%20Alshqaq">Shokrya Saleh A. Alshqaq</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdullah%20Ali%20H.%20Ahmadini"> Abdullah Ali H. Ahmadini</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Schwarz information criterion (SIC) is a popular tool for selecting the best variables in regression datasets. However, SIC is defined using an unbounded estimator, namely, the least-squares (LS), which is highly sensitive to outlying observations, especially bad leverage points. A method for robust variable selection based on SIC for linear regression models is thus needed. This study investigates the robustness properties of SIC by deriving its influence function and proposes a robust SIC based on the MM-estimation scale. The aim of this study is to produce a criterion that can effectively select accurate models in the presence of vertical outliers and high leverage points. The advantages of the proposed robust SIC is demonstrated through a simulation study and an analysis of a real dataset. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=influence%20function" title="influence function">influence function</a>, <a href="https://publications.waset.org/abstracts/search?q=robust%20variable%20selection" title=" robust variable selection"> robust variable selection</a>, <a href="https://publications.waset.org/abstracts/search?q=robust%20regression" title=" robust regression"> robust regression</a>, <a href="https://publications.waset.org/abstracts/search?q=Schwarz%20information%20criterion" title=" Schwarz information criterion"> Schwarz information criterion</a> </p> <a href="https://publications.waset.org/abstracts/131338/robust-variable-selection-based-on-schwarz-information-criterion-for-linear-regression-models" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/131338.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">140</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7305</span> On the Zeros of the Degree Polynomial of a Graph</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=S.%20R.%20Nayaka">S. R. Nayaka</a>, <a href="https://publications.waset.org/abstracts/search?q=Putta%20Swamy"> Putta Swamy</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Graph polynomial is one of the algebraic representations of the Graph. The degree polynomial is one of the simple algebraic representations of graphs. The degree polynomial of a graph G of order n is the polynomial Deg(G, x) with the coefficients deg(G,i) where deg(G,i) denotes the number of vertices of degree i in G. In this article, we investigate the behavior of the roots of some families of Graphs in the complex field. We investigate for the graphs having only integral roots. Further, we characterize the graphs having single roots or having real roots and behavior of the polynomial at the particular value is also obtained. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=degree%20polynomial" title="degree polynomial">degree polynomial</a>, <a href="https://publications.waset.org/abstracts/search?q=regular%20graph" title=" regular graph"> regular graph</a>, <a href="https://publications.waset.org/abstracts/search?q=minimum%20and%20maximum%20degree" title=" minimum and maximum degree"> minimum and maximum degree</a>, <a href="https://publications.waset.org/abstracts/search?q=graph%20operations" title=" graph operations"> graph operations</a> </p> <a href="https://publications.waset.org/abstracts/56602/on-the-zeros-of-the-degree-polynomial-of-a-graph" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/56602.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">249</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7304</span> The Vertex Degree Distance of One Vertex Union of the Cycle and the Star</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ying%20Wang">Ying Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Haiyan%20Xie"> Haiyan Xie</a>, <a href="https://publications.waset.org/abstracts/search?q=Aoming%20Zhang"> Aoming Zhang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The degree distance of a graph is a graph invariant that is more sensitive than the Wiener index. In this paper, we calculate the vertex degree distances of one vertex union of the cycle and the star, and the degree distance of one vertex union of the cycle and the star. These results lay a foundation for further study on the extreme value of the vertex degree distances, and the distribution of the vertices with the extreme value in one vertex union of the cycle and the star. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=degree%20distance" title="degree distance">degree distance</a>, <a href="https://publications.waset.org/abstracts/search?q=vertex-degree-distance" title=" vertex-degree-distance"> vertex-degree-distance</a>, <a href="https://publications.waset.org/abstracts/search?q=one%20vertex%20union%20of%20a%20cycle%20and%20a%20star" title=" one vertex union of a cycle and a star"> one vertex union of a cycle and a star</a>, <a href="https://publications.waset.org/abstracts/search?q=graph" title=" graph"> graph</a> </p> <a href="https://publications.waset.org/abstracts/127232/the-vertex-degree-distance-of-one-vertex-union-of-the-cycle-and-the-star" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/127232.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">154</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=robust%20degree%20of%20stability&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=robust%20degree%20of%20stability&page=3">3</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=robust%20degree%20of%20stability&page=4">4</a></li> <li class="page-item"><a class="page-link" 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