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Search results for: local stability

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style="font-size:1.6rem;">Search results for: local stability</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2650</span> Local Stability Analysis of Age Structural Model for Herpes Zoster in Thailand</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=P.%20Pongsumpun">P. Pongsumpun</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Herpes zoster is a disease that manifests as a dermatological condition. The characteristic of this disease is an irritating skin rash with blisters. This is often limited to one side of body. From the data of Herpes zoster cases in Thailand, we found that age structure effects to the transmission of this disease. In this study, we construct the age structural model of Herpes zoster in Thailand. The local stability analysis of this model is given. The numerical solutions are shown to confirm the analytical results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Age%20structural%20model" title="Age structural model">Age structural model</a>, <a href="https://publications.waset.org/search?q=Herpes%20zoster" title=" Herpes zoster"> Herpes zoster</a>, <a href="https://publications.waset.org/search?q=local%20stability" title=" local stability"> local stability</a>, <a href="https://publications.waset.org/search?q=Numerical%20solution." title=" Numerical solution. "> Numerical solution. </a> </p> <a href="https://publications.waset.org/9996694/local-stability-analysis-of-age-structural-model-for-herpes-zoster-in-thailand" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9996694/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9996694/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9996694/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9996694/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9996694/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9996694/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9996694/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9996694/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9996694/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9996694/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9996694.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">1550</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2649</span> Local Stability of Equilibria: Leptospirosis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Rujira%20Kongnuy">Rujira Kongnuy</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Leptospirosis is recognized as an important zoonosis in tropical regions well as an important animal disease with substantial loss in production. In this study, the model for the transmission of the Leptospirosis disease to human population are discussed. Model is described the vector population dynamics and the Leptospirosis transmission to the human population are discussed. Local analysis of equilibria are given. We confirm the results by using numerical results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Eigenvalues" title="Eigenvalues">Eigenvalues</a>, <a href="https://publications.waset.org/search?q=Leptospirosis" title=" Leptospirosis"> Leptospirosis</a>, <a href="https://publications.waset.org/search?q=Local%20Stability" title=" Local Stability"> Local Stability</a>, <a href="https://publications.waset.org/search?q=Numerical%20Result" title=" Numerical Result"> Numerical Result</a> </p> <a href="https://publications.waset.org/6662/local-stability-of-equilibria-leptospirosis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6662/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6662/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6662/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6662/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6662/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6662/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6662/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6662/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6662/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6662/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6662.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">1307</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2648</span> Influence of Heat Transfer on Stability of Newtonian and Non-Newtonian Extending Films</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Olus%20N.%20Boratav">Olus N. Boratav</a>, <a href="https://publications.waset.org/search?q=Zheming%20Zheng"> Zheming Zheng</a>, <a href="https://publications.waset.org/search?q=Chunfeng%20Zhou"> Chunfeng Zhou</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The stability of Newtonian and Non-Newtonian extending films under local or global heating or cooling conditions are considered. The thickness-averaged mass, momentum and energy equations with convective and radiative heat transfer are derived, both for Newtonian and non-Newtonian fluids (Maxwell, PTT and Giesekus models considered). The stability of the system is explored using either eigenvalue analysis or transient simulations. The results showed that the influence of heating and cooling on stability strongly depends on the magnitude of the Peclet number. Examples of stabilization or destabilization of heating or cooling are shown for Pe&lt;&lt; 1, and Pe = O(1) cases, for Newtonian and non-Newtonian flows.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Extended%20films" title="Extended films">Extended films</a>, <a href="https://publications.waset.org/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/search?q=eigen-analysis%20for%20stability" title=" eigen-analysis for stability"> eigen-analysis for stability</a>, <a href="https://publications.waset.org/search?q=transient%20response" title=" transient response"> transient response</a>, <a href="https://publications.waset.org/search?q=polymer%20instability" title=" polymer instability"> polymer instability</a>, <a href="https://publications.waset.org/search?q=Non-Newtonian%20fluids." title=" Non-Newtonian fluids."> Non-Newtonian fluids.</a> </p> <a href="https://publications.waset.org/3609/influence-of-heat-transfer-on-stability-of-newtonian-and-non-newtonian-extending-films" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3609/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3609/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3609/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3609/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3609/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3609/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3609/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3609/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3609/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3609/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3609.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">1657</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2647</span> Analysis of a Spatiotemporal Phytoplankton Dynamics: Higher Order Stability and Pattern Formation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Randhir%20Singh%20Baghel">Randhir Singh Baghel</a>, <a href="https://publications.waset.org/search?q=Joydip%20Dhar"> Joydip Dhar</a>, <a href="https://publications.waset.org/search?q=Renu%20Jain"> Renu Jain</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, for the understanding of the phytoplankton dynamics in marine ecosystem, a susceptible and an infected class of phytoplankton population is considered in spatiotemporal domain. Here, the susceptible phytoplankton is growing logistically and the growth of infected phytoplankton is due to the instantaneous Holling type-II infection response function. The dynamics are studied in terms of the local and global stabilities for the system and further explore the possibility of Hopf -bifurcation, taking the half saturation period as (i.e., ) the bifurcation parameter in temporal domain. It is also observe that the reaction diffusion system exhibits spatiotemporal chaos and pattern formation in phytoplankton dynamics, which is particularly important role play for the spatially extended phytoplankton system. Also the effect of the diffusion coefficient on the spatial system for both one and two dimensional case is obtained. Furthermore, we explore the higher-order stability analysis of the spatial phytoplankton system for both linear and no-linear system. Finally, few numerical simulations are carried out for pattern formation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Phytoplankton%20dynamics" title="Phytoplankton dynamics">Phytoplankton dynamics</a>, <a href="https://publications.waset.org/search?q=Reaction-diffusion%20system" title=" Reaction-diffusion system"> Reaction-diffusion system</a>, <a href="https://publications.waset.org/search?q=Local%20stability" title=" Local stability"> Local stability</a>, <a href="https://publications.waset.org/search?q=Hopf-bifurcation" title=" Hopf-bifurcation"> Hopf-bifurcation</a>, <a href="https://publications.waset.org/search?q=Global%20stability" title=" Global stability"> Global stability</a>, <a href="https://publications.waset.org/search?q=Chaos" title=" Chaos"> Chaos</a>, <a href="https://publications.waset.org/search?q=Pattern%20Formation" title=" Pattern Formation"> Pattern Formation</a>, <a href="https://publications.waset.org/search?q=Higher-order%20stability%20analysis." title=" Higher-order stability analysis."> Higher-order stability analysis.</a> </p> <a href="https://publications.waset.org/12349/analysis-of-a-spatiotemporal-phytoplankton-dynamics-higher-order-stability-and-pattern-formation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/12349/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/12349/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/12349/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/12349/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/12349/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/12349/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/12349/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/12349/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/12349/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/12349/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/12349.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">1650</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2646</span> A New Sufficient Conditions of Stability for Discrete Time Non-autonomous Delayed Hopfield Neural Networks</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Adnene%20Arbi">Adnene Arbi</a>, <a href="https://publications.waset.org/search?q=Chaouki%20Aouiti"> Chaouki Aouiti</a>, <a href="https://publications.waset.org/search?q=Abderrahmane%20Touati"> Abderrahmane Touati</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we consider the uniform asymptotic stability, global asymptotic stability and global exponential stability of the equilibrium point of discrete Hopfield neural networks with delays. Some new stability criteria for system are derived by using the Lyapunov functional method and the linear matrix inequality approach, for estimating the upper bound of Lyapunov functional derivative.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Hopfield%20neural%20networks" title="Hopfield neural networks">Hopfield neural networks</a>, <a href="https://publications.waset.org/search?q=uniform%20asymptotic%20stability" title=" uniform asymptotic stability"> uniform asymptotic stability</a>, <a href="https://publications.waset.org/search?q=global%20asymptotic%20stability" title=" global asymptotic stability"> global asymptotic stability</a>, <a href="https://publications.waset.org/search?q=exponential%20stability." title=" exponential stability."> exponential stability.</a> </p> <a href="https://publications.waset.org/1159/a-new-sufficient-conditions-of-stability-for-discrete-time-non-autonomous-delayed-hopfield-neural-networks" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1159/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1159/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1159/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1159/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1159/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1159/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1159/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1159/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1159/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1159/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1159.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">1970</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2645</span> Stability of Interconnected Systems under Structural Perturbation: Decomposition-Aggregation Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20Kidouche"> M. Kidouche</a>, <a href="https://publications.waset.org/search?q=H.%20Habbi"> H. Habbi</a>, <a href="https://publications.waset.org/search?q=M.%20Zelmat"> M. Zelmat</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the decomposition-aggregation method is used to carry out connective stability criteria for general linear composite system via aggregation. The large scale system is decomposed into a number of subsystems. By associating directed graphs with dynamic systems in an essential way, we define the relation between system structure and stability in the sense of Lyapunov. The stability criteria is then associated with the stability and system matrices of subsystems as well as those interconnected terms among subsystems using the concepts of vector differential inequalities and vector Lyapunov functions. Then, we show that the stability of each subsystem and stability of the aggregate model imply connective stability of the overall system. An example is reported, showing the efficiency of the proposed technique. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Composite%20system" title="Composite system">Composite system</a>, <a href="https://publications.waset.org/search?q=Connective%20stability" title=" Connective stability"> Connective stability</a>, <a href="https://publications.waset.org/search?q=Lyapunovfunctions." title=" Lyapunovfunctions."> Lyapunovfunctions.</a> </p> <a href="https://publications.waset.org/5033/stability-of-interconnected-systems-under-structural-perturbation-decomposition-aggregation-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/5033/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/5033/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/5033/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/5033/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/5033/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/5033/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/5033/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/5033/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/5033/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/5033/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/5033.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">1505</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2644</span> Stability Analysis of a Tricore</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=C.%20M.%20De%20Marco%20Muscat-Fenech">C. M. De Marco Muscat-Fenech</a>, <a href="https://publications.waset.org/search?q=A.M.%20Grech%20La%20Rosa"> A.M. Grech La Rosa</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The application of stability theory has led to detailed studies of different types of vessels; however, the shortage of information relating to multihull vessels demanded further investigation. This study shows that the position of the hulls has a very influential effect on both the transverse and longitudinal stability of the tricore. HSC stability code is applied for the optimisation of the hull configurations. Such optimization criteria would undoubtedly aid the performance of the vessel for both commercial or leisure purposes</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Stability" title="Stability">Stability</a>, <a href="https://publications.waset.org/search?q=Multihull" title=" Multihull"> Multihull</a>, <a href="https://publications.waset.org/search?q=Tricore" title=" Tricore"> Tricore</a> </p> <a href="https://publications.waset.org/9465/stability-analysis-of-a-tricore" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9465/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9465/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9465/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9465/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9465/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9465/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9465/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9465/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9465/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9465/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9465.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">2903</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2643</span> Complex Dynamics of Bertrand Duopoly Games with Bounded Rationality</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jixiang%20Zhang">Jixiang Zhang</a>, <a href="https://publications.waset.org/search?q=Guocheng%20Wang"> Guocheng Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>A dynamic of Bertrand duopoly game is analyzed,&nbsp;where players use different production methods and choose their&nbsp;prices with bounded rationality. The equilibriums of the corresponding&nbsp;discrete dynamical systems are investigated. The stability conditions&nbsp;of Nash equilibrium under a local adjustment process are studied. The&nbsp;stability conditions of Nash equilibrium under a local adjustment&nbsp;process are studied. The stability of Nash equilibrium, as some&nbsp;parameters of the model are varied, gives rise to complex dynamics&nbsp;such as cycles of higher order and chaos. On this basis, we discover&nbsp;that an increase of adjustment speed of bounded rational player can&nbsp;make Bertrand market sink into the chaotic state. Finally, the complex&nbsp;dynamics, bifurcations and chaos are displayed by numerical&nbsp;simulation.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Bertrand%20duopoly%20model" title="Bertrand duopoly model">Bertrand duopoly model</a>, <a href="https://publications.waset.org/search?q=Discrete%20dynamical%20system" title=" Discrete dynamical system"> Discrete dynamical system</a>, <a href="https://publications.waset.org/search?q=Heterogeneous%20expectations" title=" Heterogeneous expectations"> Heterogeneous expectations</a>, <a href="https://publications.waset.org/search?q=Nash%20equilibrium." title=" Nash equilibrium."> Nash equilibrium.</a> </p> <a href="https://publications.waset.org/16270/complex-dynamics-of-bertrand-duopoly-games-with-bounded-rationality" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16270/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16270/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16270/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16270/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16270/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16270/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16270/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16270/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16270/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16270/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16270.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">2599</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2642</span> 蠄-exponential Stability for Non-linear Impulsive Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Bhanu%20Gupta">Bhanu Gupta</a>, <a href="https://publications.waset.org/search?q=Sanjay%20K.%20Srivastava"> Sanjay K. Srivastava</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we shall present sufficient conditions for the 蠄-exponential stability of a class of nonlinear impulsive differential equations. We use the Lyapunov method with functions that are not necessarily differentiable. In the last section, we give some examples to support our theoretical results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Exponential%20stability" title="Exponential stability">Exponential stability</a>, <a href="https://publications.waset.org/search?q=globally%20exponential%20stability" title=" globally exponential stability"> globally exponential stability</a>, <a href="https://publications.waset.org/search?q=impulsive%20differential%20equations" title="impulsive differential equations">impulsive differential equations</a>, <a href="https://publications.waset.org/search?q=Lyapunov%20function" title=" Lyapunov function"> Lyapunov function</a>, <a href="https://publications.waset.org/search?q=%CF%88-stability." title=" 蠄-stability."> 蠄-stability.</a> </p> <a href="https://publications.waset.org/5781/ps-exponential-stability-for-non-linear-impulsive-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/5781/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/5781/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/5781/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/5781/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/5781/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/5781/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/5781/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/5781/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/5781/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/5781/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/5781.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">3935</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2641</span> Stability and HOPF Bifurcation Analysis in a Stage-structured Predator-prey system with Two Time Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yongkun%20Li">Yongkun Li</a>, <a href="https://publications.waset.org/search?q=Meng%20Hu"> Meng Hu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>A stage-structured predator-prey system with two time delays is considered. By analyzing the corresponding characteristic equation, the local stability of a positive equilibrium is investigated and the existence of Hopf bifurcations is established. Formulae are derived to determine the direction of bifurcations and the stability of bifurcating periodic solutions by using the normal form theory and center manifold theorem. Numerical simulations are carried out to illustrate the theoretical results. Based on the global Hopf bifurcation theorem for general functional differential equations, the global existence of periodic solutions is established.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Predator-prey%20system" title="Predator-prey system">Predator-prey system</a>, <a href="https://publications.waset.org/search?q=stage%20structure" title=" stage structure"> stage structure</a>, <a href="https://publications.waset.org/search?q=time%20delay" title=" time delay"> time delay</a>, <a href="https://publications.waset.org/search?q=HOPF%20bifurcation" title=" HOPF bifurcation"> HOPF bifurcation</a>, <a href="https://publications.waset.org/search?q=periodic%20solution" title=" periodic solution"> periodic solution</a>, <a href="https://publications.waset.org/search?q=stability." title=" stability."> stability.</a> </p> <a href="https://publications.waset.org/2083/stability-and-hopf-bifurcation-analysis-in-a-stage-structured-predator-prey-system-with-two-time-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2083/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2083/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2083/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2083/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2083/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2083/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2083/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2083/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2083/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2083/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2083.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">1569</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2640</span> Strict Stability of Fuzzy Differential Equations by Lyapunov Functions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mustafa%20Bayram%20G%C3%BCcen">Mustafa Bayram G眉cen</a>, <a href="https://publications.waset.org/search?q=Co%C5%9Fkun%20Yakar"> Co艧kun Yakar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, we have investigated the strict stability of fuzzy differential systems and we compare the classical notion of strict stability criteria of ordinary differential equations and the notion of strict stability of fuzzy differential systems. In addition that, we present definitions of stability and strict stability of fuzzy differential equations and also we have some theorems and comparison results. Strict Stability is a different stability definition and this stability type can give us an information about the rate of decay of the solutions. Lyapunov&rsquo;s second method is a standard technique used in the study of the qualitative behavior of fuzzy differential systems along with a comparison result that allows the prediction of behavior of a fuzzy differential system when the behavior of the null solution of a fuzzy comparison system is known. This method is a usefull for investigating strict stability of fuzzy systems. First of all, we present definitions and necessary background material. Secondly, we discuss and compare the differences between the classical notion of stability and the recent notion of strict stability. And then, we have a comparison result in which the stability properties of the null solution of the comparison system imply the corresponding stability properties of the fuzzy differential system. Consequently, we give the strict stability results and a comparison theorem. We have used Lyapunov second method and we have proved a comparison result with scalar differential equations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fuzzy%20systems" title="Fuzzy systems">Fuzzy systems</a>, <a href="https://publications.waset.org/search?q=fuzzy%20differential%20equations" title=" fuzzy differential equations"> fuzzy differential equations</a>, <a href="https://publications.waset.org/search?q=fuzzy%0D%0Astability" title=" fuzzy stability"> fuzzy stability</a>, <a href="https://publications.waset.org/search?q=strict%20stability." title=" strict stability."> strict stability.</a> </p> <a href="https://publications.waset.org/10009010/strict-stability-of-fuzzy-differential-equations-by-lyapunov-functions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10009010/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10009010/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10009010/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10009010/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10009010/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10009010/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10009010/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10009010/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10009010/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10009010/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10009010.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">1127</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2639</span> Dynamical Analysis of a Harvesting Model of Phytoplankton-Zooplankton Interaction</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Anuj%20K.%20Sharma">Anuj K. Sharma</a>, <a href="https://publications.waset.org/search?q=Amit%20Sharma"> Amit Sharma</a>, <a href="https://publications.waset.org/search?q=Kulbhushan%20Agnihotri"> Kulbhushan Agnihotri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this work, we propose and analyze a model of Phytoplankton-Zooplankton interaction with harvesting considering that some species are exploited commercially for food. Criteria for local stability, instability and global stability are derived and some threshold harvesting levels are explored to maintain the population at an appropriate equilibrium level even if the species are exploited continuously.Further,biological and bionomic equilibria of the system are obtained and an optimal harvesting policy is also analysed using the Pantryagin&rsquo;s Maximum Principle.Finally analytical findings are also supported by some numerical simulations.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Phytoplankton-Zooplankton" title="Phytoplankton-Zooplankton">Phytoplankton-Zooplankton</a>, <a href="https://publications.waset.org/search?q=Global%20stability" title=" Global stability"> Global stability</a>, <a href="https://publications.waset.org/search?q=Bionomic%20Equilibrium" title=" Bionomic Equilibrium"> Bionomic Equilibrium</a>, <a href="https://publications.waset.org/search?q=Pontrying-Maximum%20Principal." title=" Pontrying-Maximum Principal."> Pontrying-Maximum Principal.</a> </p> <a href="https://publications.waset.org/10000197/dynamical-analysis-of-a-harvesting-model-of-phytoplankton-zooplankton-interaction" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10000197/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10000197/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10000197/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10000197/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10000197/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10000197/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10000197/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10000197/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10000197/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10000197/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10000197.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">2273</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2638</span> Stability and Bifurcation Analysis in a Model of Hes1 Selfregulation with Time Delay</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Kejun%20Zhuang">Kejun Zhuang</a>, <a href="https://publications.waset.org/search?q=Hailong%20Zhu"> Hailong Zhu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The dynamics of a delayed mathematical model for Hes1 oscillatory expression are investigated. The linear stability of positive equilibrium and existence of local Hopf bifurcation are studied. Moreover, the global existence of large periodic solutions has been established due to the global bifurcation theorem. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Hes1" title="Hes1">Hes1</a>, <a href="https://publications.waset.org/search?q=Hopf%20bifurcation" title=" Hopf bifurcation"> Hopf bifurcation</a>, <a href="https://publications.waset.org/search?q=time%20delay" title=" time delay"> time delay</a>, <a href="https://publications.waset.org/search?q=transcriptional%20repression%20loop" title=" transcriptional repression loop"> transcriptional repression loop</a> </p> <a href="https://publications.waset.org/2496/stability-and-bifurcation-analysis-in-a-model-of-hes1-selfregulation-with-time-delay" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2496/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2496/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2496/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2496/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2496/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2496/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2496/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2496/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2496/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2496/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2496.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">1394</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2637</span> Performance of the Strong Stability Method in the Univariate Classical Risk Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Safia%20Hocine">Safia Hocine</a>, <a href="https://publications.waset.org/search?q=Zina%20Benouaret"> Zina Benouaret</a>, <a href="https://publications.waset.org/search?q=Djamil%20A%C2%A8%C4%B1ssani"> Djamil A篓谋ssani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we study the performance of the strong stability method of the univariate classical risk model. We interest to the stability bounds established using two approaches. The first based on the strong stability method developed for a general Markov chains. The second approach based on the regenerative processes theory . By adopting an algorithmic procedure, we study the performance of the stability method in the case of exponential distribution claim amounts. After presenting numerically and graphically the stability bounds, an interpretation and comparison of the results have been done. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Markov%20Chain" title="Markov Chain">Markov Chain</a>, <a href="https://publications.waset.org/search?q=regenerative%20processes" title=" regenerative processes"> regenerative processes</a>, <a href="https://publications.waset.org/search?q=risk%20models" title=" risk models"> risk models</a>, <a href="https://publications.waset.org/search?q=ruin%20probability" title=" ruin probability"> ruin probability</a>, <a href="https://publications.waset.org/search?q=strong%20stability." title=" strong stability."> strong stability.</a> </p> <a href="https://publications.waset.org/10008940/performance-of-the-strong-stability-method-in-the-univariate-classical-risk-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10008940/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10008940/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10008940/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10008940/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10008940/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10008940/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10008940/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10008940/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10008940/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10008940/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10008940.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">1143</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2636</span> Static Analysis and Pseudostatic Slope Stability</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Meftah%20Ali">Meftah Ali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This article aims to analyze the static stability and pseudostatic slope by using different methods such as: Bishop method, Junbu, Ordinary, Morgenstern-price and GLE. The two dimensional modeling of slope stability under various loading as: the earthquake effect, the water level and road mobile charges. The results show that the slope is stable in the static case without water, but in other cases, the slope lost its stability and give unstable. The calculation of safety factor is to evaluate the stability of the slope using the limit equilibrium method despite the difference between the results obtained by these methods that do not rely on the same assumptions. In the end, the results of this study illuminate well the influence of the action of water, moving loads and the earthquake on the stability of the slope. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Slope%20stability" title="Slope stability">Slope stability</a>, <a href="https://publications.waset.org/search?q=pseudo%20static" title=" pseudo static"> pseudo static</a>, <a href="https://publications.waset.org/search?q=safety%20factor" title=" safety factor"> safety factor</a>, <a href="https://publications.waset.org/search?q=limit%0D%0Aequilibrium." title=" limit equilibrium."> limit equilibrium.</a> </p> <a href="https://publications.waset.org/10001855/static-analysis-and-pseudostatic-slope-stability" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10001855/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10001855/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10001855/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10001855/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10001855/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10001855/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10001855/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10001855/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10001855/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10001855/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10001855.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">3360</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2635</span> Effects of Tap Changing Transformer and Shunt Capacitor on Voltage Stability Enhancement of Transmission Networks</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Pyone%20Lai%20Swe">Pyone Lai Swe</a>, <a href="https://publications.waset.org/search?q=Wanna%20Swe"> Wanna Swe</a>, <a href="https://publications.waset.org/search?q=Kyaw%20Myo%20Lin"> Kyaw Myo Lin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Voltage stability has become an important issue to many power systems around the world due to the weak systems and long line on power system networks. In this paper, MATLAB load flow program is applied to obtain the weak points in the system combined with finding the voltage stability limit. The maximum permissible loading of a system, within the voltage stability limit, is usually determined. The methods for varying tap ratio (using tap changing transformer) and applying different values of shunt capacitor injection to improve the voltage stability within the limit are also provided.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Load%20flow" title="Load flow">Load flow</a>, <a href="https://publications.waset.org/search?q=Voltage%20stability" title=" Voltage stability"> Voltage stability</a>, <a href="https://publications.waset.org/search?q=Tap%20changingtransformer" title=" Tap changingtransformer"> Tap changingtransformer</a>, <a href="https://publications.waset.org/search?q=Shunt%20capacitor%20injection" title=" Shunt capacitor injection"> Shunt capacitor injection</a>, <a href="https://publications.waset.org/search?q=Voltage%20stability%20limit" title=" Voltage stability limit"> Voltage stability limit</a> </p> <a href="https://publications.waset.org/12758/effects-of-tap-changing-transformer-and-shunt-capacitor-on-voltage-stability-enhancement-of-transmission-networks" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/12758/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/12758/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/12758/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/12758/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/12758/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/12758/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/12758/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/12758/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/12758/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/12758/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/12758.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">5974</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2634</span> Stability Criteria for Neural Networks with Two Additive Time-varying Delay Components</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Qingqing%20Wang">Qingqing Wang</a>, <a href="https://publications.waset.org/search?q=Shouming%20Zhong"> Shouming Zhong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper is concerned with the stability problem with two additive time-varying delay components. By choosing one augmented Lyapunov-Krasovskii functional, using some new zero equalities, and combining linear matrix inequalities (LMI) techniques, two new sufficient criteria ensuring the global stability asymptotic stability of DNNs is obtained. These stability criteria are present in terms of linear matrix inequalities and can be easily checked. Finally, some examples are showed to demonstrate the effectiveness and less conservatism of the proposed method.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Neural%20networks" title="Neural networks">Neural networks</a>, <a href="https://publications.waset.org/search?q=Globally%20asymptotic%20stability" title=" Globally asymptotic stability"> Globally asymptotic stability</a>, <a href="https://publications.waset.org/search?q=LMI%0D%0Aapproach" title=" LMI approach"> LMI approach</a>, <a href="https://publications.waset.org/search?q=Additive%20time-varying%20delays." title=" Additive time-varying delays."> Additive time-varying delays.</a> </p> <a href="https://publications.waset.org/9999510/stability-criteria-for-neural-networks-with-two-additive-time-varying-delay-components" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9999510/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9999510/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9999510/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9999510/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9999510/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9999510/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9999510/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9999510/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9999510/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9999510/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9999510.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">1566</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2633</span> Improved Asymptotic Stability Analysis for Lure Systems with Neutral Type and Time-varying Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Changchun%20Shen">Changchun Shen</a>, <a href="https://publications.waset.org/search?q=Shouming%20Zhong"> Shouming Zhong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper investigates the problem of absolute stability and robust stability of a class of Lur-e systems with neutral type and time-varying delays. By using Lyapunov direct method and linear matrix inequality technique, new delay-dependent stability criteria are obtained and formulated in terms of linear matrix inequalities (LMIs) which are easy to check the stability of the considered systems. To obtain less conservative stability conditions, an operator is defined to construct the Lyapunov functional. Also, the free weighting matrices approach combining a matrix inequality technique is used to reduce the entailed conservativeness. Numerical examples are given to indicate significant improvements over some existing results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Lur%27e%20system" title="Lur&#039;e system">Lur&#039;e system</a>, <a href="https://publications.waset.org/search?q=linear%20matrix%20inequalities" title=" linear matrix inequalities"> linear matrix inequalities</a>, <a href="https://publications.waset.org/search?q=Lyapunov" title=" Lyapunov"> Lyapunov</a>, <a href="https://publications.waset.org/search?q=stability." title=" stability."> stability.</a> </p> <a href="https://publications.waset.org/12305/improved-asymptotic-stability-analysis-for-lure-systems-with-neutral-type-and-time-varying-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/12305/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/12305/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/12305/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/12305/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/12305/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/12305/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/12305/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/12305/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/12305/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/12305/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/12305.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">1791</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2632</span> Learning Block Memories with Metric Networks</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mario%20Gonzalez">Mario Gonzalez</a>, <a href="https://publications.waset.org/search?q=David%20Dominguez"> David Dominguez</a>, <a href="https://publications.waset.org/search?q=Francisco%20B.%20Rodriguez"> Francisco B. Rodriguez</a> </p> <p class="card-text"><strong>Abstract:</strong></p> An attractor neural network on the small-world topology is studied. A learning pattern is presented to the network, then a stimulus carrying local information is applied to the neurons and the retrieval of block-like structure is investigated. A synaptic noise decreases the memory capability. The change of stability from local to global attractors is shown to depend on the long-range character of the network connectivity. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Hebbian%20learning" title="Hebbian learning">Hebbian learning</a>, <a href="https://publications.waset.org/search?q=image%20recognition" title=" image recognition"> image recognition</a>, <a href="https://publications.waset.org/search?q=small%20world" title=" small world"> small world</a>, <a href="https://publications.waset.org/search?q=spatial%20information." title=" spatial information."> spatial information.</a> </p> <a href="https://publications.waset.org/231/learning-block-memories-with-metric-networks" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/231/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/231/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/231/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/231/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/231/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/231/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/231/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/231/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/231/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/231/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/231.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">1865</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2631</span> A Intelligent Inference Model about Complex Systems- Stability: Inspiration from Nature</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Naiqin%20Feng">Naiqin Feng</a>, <a href="https://publications.waset.org/search?q=Yuhui%20Qiu"> Yuhui Qiu</a>, <a href="https://publications.waset.org/search?q=Yingshan%20Zhang"> Yingshan Zhang</a>, <a href="https://publications.waset.org/search?q=Fang%20Wang"> Fang Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A logic model for analyzing complex systems- stability is very useful to many areas of sciences. In the real world, we are enlightened from some natural phenomena such as 鈥渂iosphere", 鈥渇ood chain", 鈥渆cological balance" etc. By research and practice, and taking advantage of the orthogonality and symmetry defined by the theory of multilateral matrices, we put forward a logic analysis model of stability of complex systems with three relations, and prove it by means of mathematics. This logic model is usually successful in analyzing stability of a complex system. The structure of the logic model is not only clear and simple, but also can be easily used to research and solve many stability problems of complex systems. As an application, some examples are given. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Complex%20system" title="Complex system">Complex system</a>, <a href="https://publications.waset.org/search?q=logic%20model" title=" logic model"> logic model</a>, <a href="https://publications.waset.org/search?q=relation" title=" relation"> relation</a>, <a href="https://publications.waset.org/search?q=stability." title=" stability."> stability.</a> </p> <a href="https://publications.waset.org/10647/a-intelligent-inference-model-about-complex-systems-stability-inspiration-from-nature" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10647/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10647/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10647/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10647/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10647/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10647/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10647/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10647/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10647/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10647/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10647.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">1328</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2630</span> Approximately Jordan Maps and Their Stability</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Nasrin%20Eghbali">Nasrin Eghbali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper we consider the approximate Jordan maps and boundedness of these maps. Also we investigate the stability of approximate Jordan maps and prove some stability properties for approximate Jordan maps.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Approximate%20Jordan%20map" title="Approximate Jordan map">Approximate Jordan map</a>, <a href="https://publications.waset.org/search?q=stability." title=" stability."> stability.</a> </p> <a href="https://publications.waset.org/9430/approximately-jordan-maps-and-their-stability" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9430/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9430/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9430/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9430/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9430/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9430/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9430/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9430/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9430/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9430/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9430.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">1332</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2629</span> Assessing and Visualizing the Stability of Feature Selectors: A Case Study with Spectral Data</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=R.Guzman-Martinez">R.Guzman-Martinez</a>, <a href="https://publications.waset.org/search?q=Oscar%20Garcia-Olalla"> Oscar Garcia-Olalla</a>, <a href="https://publications.waset.org/search?q=R.Alaiz-Rodriguez"> R.Alaiz-Rodriguez</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Feature selection plays an important role in applications with high dimensional data. The assessment of the stability of feature selection/ranking algorithms becomes an important issue when the dataset is small and the aim is to gain insight into the underlying process by analyzing the most relevant features. In this work, we propose a graphical approach that enables to analyze the similarity between feature ranking techniques as well as their individual stability. Moreover, it works with whatever stability metric (Canberra distance, Spearman&#39;s rank correlation coefficient, Kuncheva&#39;s stability index,...). We illustrate this visualization technique evaluating the stability of several feature selection techniques on a spectral binary dataset. Experimental results with a neural-based classifier show that stability and ranking quality may not be linked together and both issues have to be studied jointly in order to offer answers to the domain experts.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Feature%20Selection%20Stability" title="Feature Selection Stability">Feature Selection Stability</a>, <a href="https://publications.waset.org/search?q=Spectral%20data" title=" Spectral data"> Spectral data</a>, <a href="https://publications.waset.org/search?q=Data%20visualization" title=" Data visualization"> Data visualization</a> </p> <a href="https://publications.waset.org/14857/assessing-and-visualizing-the-stability-of-feature-selectors-a-case-study-with-spectral-data" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14857/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14857/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14857/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14857/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14857/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14857/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14857/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14857/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14857/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14857/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14857.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">1526</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2628</span> Delay-Dependent Stability Analysis for Neural Networks with Distributed Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Qingqing%20Wang">Qingqing Wang</a>, <a href="https://publications.waset.org/search?q=Shouming%20Zhong"> Shouming Zhong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper deals with the problem of delay-dependent stability for neural networks with distributed delays. Some new sufficient condition are derived by constructing a novel Lyapunov-Krasovskii functional approach. The criteria are formulated in terms of a set of linear matrix inequalities, this is convenient for numerically checking the system stability using the powerful MATLAB LMI Toolbox. Moreover, in order to show the stability condition in this paper gives much less conservative results than those in the literature, numerical examples are considered.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Neural%20networks" title="Neural networks">Neural networks</a>, <a href="https://publications.waset.org/search?q=Globally%20asymptotic%20stability" title=" Globally asymptotic stability "> Globally asymptotic stability </a>, <a href="https://publications.waset.org/search?q=LMI%0D%0Aapproach" title=" LMI approach"> LMI approach</a>, <a href="https://publications.waset.org/search?q=Distributed%20delays." title=" Distributed delays."> Distributed delays.</a> </p> <a href="https://publications.waset.org/9998930/delay-dependent-stability-analysis-for-neural-networks-with-distributed-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9998930/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9998930/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9998930/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9998930/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9998930/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9998930/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9998930/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9998930/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9998930/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9998930/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9998930.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">1568</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2627</span> Stability Analysis of Linear Switched Systems with Mixed Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Xiuyong%20Ding">Xiuyong Ding</a>, <a href="https://publications.waset.org/search?q=Lan%20Shu"> Lan Shu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper addresses the stability of the switched systems with discrete and distributed time delays. By applying Lyapunov functional and function method, we show that, if the norm of system matrices Bi is small enough, the asymptotic stability is always achieved. Finally, a example is provided to verify technically feasibility and operability of the developed results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Switched%20system" title="Switched system">Switched system</a>, <a href="https://publications.waset.org/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/search?q=Lyapunov%20function" title=" Lyapunov function"> Lyapunov function</a>, <a href="https://publications.waset.org/search?q=Lyapunov%20functional" title=" Lyapunov functional"> Lyapunov functional</a>, <a href="https://publications.waset.org/search?q=delays." title=" delays."> delays.</a> </p> <a href="https://publications.waset.org/347/stability-analysis-of-linear-switched-systems-with-mixed-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/347/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/347/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/347/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/347/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/347/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/347/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/347/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/347/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/347/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/347/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/347.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">1782</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2626</span> Static Voltage Stability Margin Enhancement Using SVC and TCSC</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mohammed%20Amroune">Mohammed Amroune</a>, <a href="https://publications.waset.org/search?q=Hadi%20Sebaa"> Hadi Sebaa</a>, <a href="https://publications.waset.org/search?q=Tarek%20Bouktir"> Tarek Bouktir</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Reactive power limit of power system is one of the major causes of voltage instability. The only way to save the system from voltage instability is to reduce the reactive power load or add additional reactive power to reaching the point of voltage collapse. In recent times, the application of FACTS devices is a very effective solution to prevent voltage instability due to their fast and very flexible control. In this paper, voltage stability assessment with SVC and TCSC devices is investigated and compared in the modified IEEE 30-bus test system. The fast voltage stability indicator (FVSI) is used to identify weakest bus and to assess the voltage stability of power system.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=SVC" title="SVC">SVC</a>, <a href="https://publications.waset.org/search?q=TCSC" title=" TCSC"> TCSC</a>, <a href="https://publications.waset.org/search?q=Voltage%20stability" title=" Voltage stability"> Voltage stability</a>, <a href="https://publications.waset.org/search?q=Fast%20Voltage%20Stability%20Index%20%28FVSI%29" title=" Fast Voltage Stability Index (FVSI)"> Fast Voltage Stability Index (FVSI)</a>, <a href="https://publications.waset.org/search?q=Reactive%20power." title=" Reactive power. "> Reactive power. </a> </p> <a href="https://publications.waset.org/9997161/static-voltage-stability-margin-enhancement-using-svc-and-tcsc" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9997161/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9997161/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9997161/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9997161/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9997161/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9997161/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9997161/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9997161/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9997161/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9997161/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9997161.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">4075</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2625</span> Stability of Interval Fractional-order Systems with Order 0 &lt; 伪 &lt; 1</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Hong%20Li">Hong Li</a>, <a href="https://publications.waset.org/search?q=Shou-ming%20Zhong"> Shou-ming Zhong</a>, <a href="https://publications.waset.org/search?q=Hou-biao%20Li"> Hou-biao Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, some brief sufficient conditions for the stability of FO-LTI systems d&alpha;x(t) dt&alpha; = Ax(t) with the fractional order are investigated when the matrix A and the fractional order &alpha; are uncertain or both &alpha; and A are uncertain, respectively. In addition, we also relate the stability of a fractional-order system with order 0 &lt; &alpha; &le; 1 to the stability of its equivalent fractional-order system with order 1 &le; &beta; &lt; 2, the relationship between &alpha; and &beta; is presented. Finally, a numeric experiment is given to demonstrate the effectiveness of our results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Interval%20fractional-order%20systems" title="Interval fractional-order systems">Interval fractional-order systems</a>, <a href="https://publications.waset.org/search?q=linear%20matrix%20inequality%20%28LMI%29" title=" linear matrix inequality (LMI)"> linear matrix inequality (LMI)</a>, <a href="https://publications.waset.org/search?q=asymptotical%20stability." title=" asymptotical stability."> asymptotical stability.</a> </p> <a href="https://publications.waset.org/1954/stability-of-interval-fractional-order-systems-with-order-0-a-1" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1954/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1954/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1954/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1954/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1954/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1954/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1954/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1954/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1954/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1954/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1954.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">3615</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2624</span> Stability Enhancement of a Large-Scale Power System Using Power System Stabilizer Based on Adaptive Neuro Fuzzy Inference System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Agung%20Budi%20Muljono">Agung Budi Muljono</a>, <a href="https://publications.waset.org/search?q=I%20Made%20Ginarsa"> I Made Ginarsa</a>, <a href="https://publications.waset.org/search?q=I%20Made%20Ari%20Nrartha"> I Made Ari Nrartha</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A large-scale power system (LSPS) consists of two or more sub-systems connected by inter-connecting transmission. Loading pattern on an LSPS always changes from time to time and varies depend on consumer need. The serious instability problem is appeared in an LSPS due to load fluctuation in all of the bus. Adaptive neuro-fuzzy inference system (ANFIS)-based power system stabilizer (PSS) is presented to cover the stability problem and to enhance the stability of an LSPS. The ANFIS control is presented because the ANFIS control is more effective than Mamdani fuzzy control in the computation aspect. Simulation results show that the presented PSS is able to maintain the stability by decreasing peak overshoot to the value of &minus;2.56 &times; 10&minus;5 pu for rotor speed deviation &Delta;&omega;2&minus;3. The presented PSS also makes the settling time to achieve at 3.78 s on local mode oscillation. Furthermore, the presented PSS is able to improve the peak overshoot and settling time of &Delta;&omega;3&minus;9 to the value of &minus;0.868 &times; 10&minus;5 pu and at the time of 3.50 s for inter-area oscillation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=ANFIS" title="ANFIS">ANFIS</a>, <a href="https://publications.waset.org/search?q=large-scale" title=" large-scale"> large-scale</a>, <a href="https://publications.waset.org/search?q=power%20system" title=" power system"> power system</a>, <a href="https://publications.waset.org/search?q=PSS" title=" PSS"> PSS</a>, <a href="https://publications.waset.org/search?q=stability%0D%0Aenhancement." title=" stability enhancement."> stability enhancement.</a> </p> <a href="https://publications.waset.org/10005539/stability-enhancement-of-a-large-scale-power-system-using-power-system-stabilizer-based-on-adaptive-neuro-fuzzy-inference-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10005539/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10005539/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10005539/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10005539/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10005539/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10005539/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10005539/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10005539/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10005539/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10005539/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10005539.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">1194</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2623</span> Dynamic Voltage Stability Estimation using Particle Filter</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Osea%20Zebua">Osea Zebua</a>, <a href="https://publications.waset.org/search?q=Norikazu%20Ikoma"> Norikazu Ikoma</a>, <a href="https://publications.waset.org/search?q=Hiroshi%20Maeda"> Hiroshi Maeda</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Estimation of voltage stability based on optimal filtering method is presented. PV curve is used as a tool for voltage stability analysis. Dynamic voltage stability estimation is done by using particle filter method. Optimum value (nose point) of PV curve can be estimated by estimating parameter of PV curve equation optimal value represents critical voltage and condition at specified point of measurement. Voltage stability is then estimated by analyzing loading margin condition c stimating equation. This maximum loading ecified dynamically. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=normalized%20PV%20curve" title="normalized PV curve">normalized PV curve</a>, <a href="https://publications.waset.org/search?q=optimal%20filtering%20method%20particle%20filter" title=" optimal filtering method particle filter"> optimal filtering method particle filter</a>, <a href="https://publications.waset.org/search?q=voltage%20stability." title=" voltage stability."> voltage stability.</a> </p> <a href="https://publications.waset.org/3538/dynamic-voltage-stability-estimation-using-particle-filter" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3538/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3538/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3538/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3538/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3538/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3538/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3538/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3538/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3538/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3538/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3538.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">1801</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2622</span> Improved Asymptotic Stability Criteria for Uncertain Neutral Systems with Time-varying Discrete Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Changchun%20Shen">Changchun Shen</a>, <a href="https://publications.waset.org/search?q=Shouming%20Zhong"> Shouming Zhong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper investigates the robust stability of uncertain neutral system with time-varying delay. By using Lyapunov method and linear matrix inequality technology, new delay-dependent stability criteria are obtained and formulated in terms of linear matrix inequalities (LMIs), which can be easy to check the robust stability of the considered systems. Numerical examples are given to indicate significant improvements over some existing results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Neutral%20system" title="Neutral system">Neutral system</a>, <a href="https://publications.waset.org/search?q=linear%20matrix%20inequalities" title=" linear matrix inequalities"> linear matrix inequalities</a>, <a href="https://publications.waset.org/search?q=Lyapunov" title=" Lyapunov"> Lyapunov</a>, <a href="https://publications.waset.org/search?q=stability." title=" stability."> stability.</a> </p> <a href="https://publications.waset.org/7363/improved-asymptotic-stability-criteria-for-uncertain-neutral-systems-with-time-varying-discrete-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/7363/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/7363/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/7363/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/7363/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/7363/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/7363/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/7363/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/7363/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/7363/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/7363/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/7363.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">1514</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2621</span> Improved Exponential Stability Analysis for Delayed Recurrent Neural Networks</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Miaomiao%20Yang">Miaomiao Yang</a>, <a href="https://publications.waset.org/search?q=Shouming%20Zhong"> Shouming Zhong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper studies the problem of exponential stability analysis for recurrent neural networks with time-varying delay.By establishing a suitable augmented LyapunovCKrasovskii function and a novel sufficient condition is obtained to guarantee the exponential stability of the considered system.In order to get a less conservative results of the condition,zero equalities and reciprocally convex approach are employed. The several exponential stability criterion proposed in this paper is simpler and effective. A numerical example is provided to demonstrate the feasibility and effectiveness of our results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Exponential%20stability" title="Exponential stability ">Exponential stability </a>, <a href="https://publications.waset.org/search?q=Neural%20networks" title=" Neural networks"> Neural networks</a>, <a href="https://publications.waset.org/search?q=Linear%20matrix%20inequality" title=" Linear matrix inequality"> Linear matrix inequality</a>, <a href="https://publications.waset.org/search?q=Lyapunov-Krasovskii" title=" Lyapunov-Krasovskii"> Lyapunov-Krasovskii</a>, <a href="https://publications.waset.org/search?q=Time-varying." title=" Time-varying."> Time-varying.</a> </p> <a href="https://publications.waset.org/9997445/improved-exponential-stability-analysis-for-delayed-recurrent-neural-networks" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9997445/apa" 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