Delay-dependent Stability Criterion for a Class of Nonlinear System with Time Delay and Markovian Jumping Parameters
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- 英文论文题名：Delay-dependent Stability Criterion for a Class of Nonlinear System with Time Delay and Markovian Jumping Parameters
- 论文作者：LIU Tao
- 英文论文作者：LIU Tao ; School of electrical Engineering and Automation ; Qilu University of Technology
- 年：2017
- 作者机构：School of electrical Engineering and Automation,Qilu University of Technology;
- 英文论文关键词：Markovian jumping parameters ; uncertainty ; linear matrix inequality(LMI) ; nonlinear
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（A）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
- 语种：英文
- 分类号：O211.62
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：5
- 文件大小：586k
- 原文格式：D
- 会议级别：全国
摘要
In this article, we discuss the delay-dependent stochastic stability problem of nonlinear systems with Markovian jumping parameters. Provides a numerical example to verify the efficiency of this method.
In this article, we discuss the delay-dependent stochastic stability problem of nonlinear systems with Markovian jumping parameters. Provides a numerical example to verify the efficiency of this method.
In this article, we discuss the delay-dependent stochastic stability problem of nonlinear systems with Markovian jumping parameters. Provides a numerical example to verify the efficiency of this method.
引文
[1]Pu,Z.and R.Rao,Delay-dependent LMI-based robust stability criterion for discrete and distributed time-delays Markovian jumping reaction-diffusion CGNNs under Neumann boundary value.Neurocomputing,2016.171(C):p.1367-1374.
[2]Zhao,X.,M.Ling and Q.Zeng,Delay dependent stability criterion and H analysis for Markovian jump systems with time varying delays.Asian Journal of Control,2015.13(2):p.232-239.
[3]Zhang,Y.,et al.Improved delay-range-dependent stability criterion for Markovian jump systems with interval timevarying delay.in Control and Decision Conference.2015.
[4]Dong,H.L.,Y.H.Joo and M.H.Tak,LMI conditions for local stability and stabilization of continuous-time T-S fuzzy systems.International Journal of Control,Automation and Systems,2015.13(4):p.986-994.
[5]Long,S.and S.Zhong,Mean-square exponential stability for a class of discrete-time nonlinear singular Markovian jump systems with time-varying delay.Journal of the Franklin Institute,2014.351(10):p.4688-4723.
[6]Lakshmanan,S.,et al.,Stability analysis of the differential genetic regulatory networks model with time-varying delays and Markovian jumping parameters.Nonlinear Analysis Hybrid Systems,2014.14(2):p.1-15.
[7]Hua,M.,H.Tan and J.Fei,State estimation for uncertain discrete-time stochastic neural networks with Markovian jump parameters and time-varying delays.International Journal of Machine Learning&Cybernetics,2015:p.1-13.
[8]Pan,S.,J.Sun and S.Zhao,Stabilization of discrete-time Markovian jump linear systems via time-delayed and impulsive controllers.Automatica,2008.44(11):p.2954-2958.
[9]Xiong,J.and J.Lam,Stabilization of discrete-time Markovian jump linear systems via time-delayed controllers.Automatica,2006.42(5):p.747-753.
[10]Karimi,H.R.,A sliding mode approach to H synchronization of master slave time-delay systems with Markovian jumping parameters and nonlinear uncertainties.Journal of the Franklin Institute,2012.349(4):p.1480-1496.
[11]Tong,D.,et al.,Adaptive synchronization for stochastic T–S fuzzy neural networks with time-delay and Markovian jumping parameters.Neurocomputing,2013.117:p.91-97.
[12]Zhou,W.and J.A.Fang,Delay-dependent robust H admissibility and stabilization for uncertain singular system with Markovian jumping parameters.Circuits,Systems,and Signal Processing,2009.28(3):p.433-450.
[13]Balasubramaniam,P.,R.Krishnasamy and R.Rakkiyappan,Delay-interval-dependent robust stability results for uncertain stochastic systems with Markovian jumping parameters.Nonlinear Analysis:Hybrid Systems,2011.5(4):p.681-691.
[14]Ali,M.S.,Robust stability of stochastic uncertain recurrent neural networks with Markovian jumping parameters and time-varying delays.International Journal of Machine Learning and Cybernetics,2014.5(1):p.13-22.
[15]Xie,L.Stochastic robust stability analysis for Markovian jumping neural networks with time delays.in Networking,Sensing and Control,2005.Proceedings.2005 IEEE.2005:IEEE.
[16]Costa,O.L.and M.D.Fragoso,Stability results for discretetime linear systems with Markovian jumping parameters.Journal of mathematical analysis and applications,1993.179(1):p.154-178.
[2]Zhao,X.,M.Ling and Q.Zeng,Delay dependent stability criterion and H analysis for Markovian jump systems with time varying delays.Asian Journal of Control,2015.13(2):p.232-239.
[3]Zhang,Y.,et al.Improved delay-range-dependent stability criterion for Markovian jump systems with interval timevarying delay.in Control and Decision Conference.2015.
[4]Dong,H.L.,Y.H.Joo and M.H.Tak,LMI conditions for local stability and stabilization of continuous-time T-S fuzzy systems.International Journal of Control,Automation and Systems,2015.13(4):p.986-994.
[5]Long,S.and S.Zhong,Mean-square exponential stability for a class of discrete-time nonlinear singular Markovian jump systems with time-varying delay.Journal of the Franklin Institute,2014.351(10):p.4688-4723.
[6]Lakshmanan,S.,et al.,Stability analysis of the differential genetic regulatory networks model with time-varying delays and Markovian jumping parameters.Nonlinear Analysis Hybrid Systems,2014.14(2):p.1-15.
[7]Hua,M.,H.Tan and J.Fei,State estimation for uncertain discrete-time stochastic neural networks with Markovian jump parameters and time-varying delays.International Journal of Machine Learning&Cybernetics,2015:p.1-13.
[8]Pan,S.,J.Sun and S.Zhao,Stabilization of discrete-time Markovian jump linear systems via time-delayed and impulsive controllers.Automatica,2008.44(11):p.2954-2958.
[9]Xiong,J.and J.Lam,Stabilization of discrete-time Markovian jump linear systems via time-delayed controllers.Automatica,2006.42(5):p.747-753.
[10]Karimi,H.R.,A sliding mode approach to H synchronization of master slave time-delay systems with Markovian jumping parameters and nonlinear uncertainties.Journal of the Franklin Institute,2012.349(4):p.1480-1496.
[11]Tong,D.,et al.,Adaptive synchronization for stochastic T–S fuzzy neural networks with time-delay and Markovian jumping parameters.Neurocomputing,2013.117:p.91-97.
[12]Zhou,W.and J.A.Fang,Delay-dependent robust H admissibility and stabilization for uncertain singular system with Markovian jumping parameters.Circuits,Systems,and Signal Processing,2009.28(3):p.433-450.
[13]Balasubramaniam,P.,R.Krishnasamy and R.Rakkiyappan,Delay-interval-dependent robust stability results for uncertain stochastic systems with Markovian jumping parameters.Nonlinear Analysis:Hybrid Systems,2011.5(4):p.681-691.
[14]Ali,M.S.,Robust stability of stochastic uncertain recurrent neural networks with Markovian jumping parameters and time-varying delays.International Journal of Machine Learning and Cybernetics,2014.5(1):p.13-22.
[15]Xie,L.Stochastic robust stability analysis for Markovian jumping neural networks with time delays.in Networking,Sensing and Control,2005.Proceedings.2005 IEEE.2005:IEEE.
[16]Costa,O.L.and M.D.Fragoso,Stability results for discretetime linear systems with Markovian jumping parameters.Journal of mathematical analysis and applications,1993.179(1):p.154-178.