Stability analysis of a class of random nonlinear time-varying systems
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- 英文论文题名：Stability analysis of a class of random nonlinear time-varying systems
- 论文作者：Ticao Jiao ; Cunshan Zhang ; Qian Ma ; Guangdeng Zong ; Yingchun Wang
- 英文论文作者：Ticao Jiao ; Cunshan Zhang ; Qian Ma ; Guangdeng Zong ; Yingchun Wang ; College of Electrical and Electronic Engineering ; Shandong University of Technolog ; School of Automation ; Nanjing University of Science and Technology ; School of Engineering ; Qufu Normal University ; School of Information Science and Engineering ; Northeastern University
- 年：2017
- 作者机构：College of Electrical and Electronic Engineering,Shandong University of Technolog;School of Automation,Nanjing University of Science and Technology;School of Engineering,Qufu Normal University;School of Information Science and Engineering,Northeastern University;
- 英文论文关键词：Random time-varying systems ; asymptotic stability ; noise-to-state stability ; Lyapunov function with indefinite derivative
- 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（B）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
- 语种：英文
- 分类号：O231
- 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：4
- 文件大小：242k
- 原文格式：D
- 会议级别：全国
摘要
This paper is concerned with the stability problem for a class of time-varying nonlinear systems subject to random disturbances with finite 2-order moments. The stability analysis is accomplished by using Lyapunov function method with indefinite derivative. Both the noise-to-state stability and the global asymptotic stability are studied. The validity of the proposed theorems is illustrated by one numerical example.
This paper is concerned with the stability problem for a class of time-varying nonlinear systems subject to random disturbances with finite 2-order moments. The stability analysis is accomplished by using Lyapunov function method with indefinite derivative. Both the noise-to-state stability and the global asymptotic stability are studied. The validity of the proposed theorems is illustrated by one numerical example.
This paper is concerned with the stability problem for a class of time-varying nonlinear systems subject to random disturbances with finite 2-order moments. The stability analysis is accomplished by using Lyapunov function method with indefinite derivative. Both the noise-to-state stability and the global asymptotic stability are studied. The validity of the proposed theorems is illustrated by one numerical example.
引文
[1]H.K.Khalil,Nonlinear Systems,3rd Ed.Englewood Cliffs,NJ:Prentice Hall,2002.
[2]R.H.Wang,and S.M.Fei,New stability and stabilization results for discrete-time switched systems,Appl.Math.Comput.,vol.238,pp.358–369,2014.
[3]L.L.Hou,G.D.Zong,and Y.Q.Wu,Robust exponential stability analysis of discrete-time switched Hopfield neural networks with time delay,Nonlinear Anal-Hybri,2011,vol.5,no.3,pp.525—534.
[4]G.D.Zong,R.H.Wang,W.X.Zheng,and L.L.Hou,“Finitetime H∞control for discrete-time switched nonlinear systems with time dealy”,Int.J.Robust Nonlinear Control,vol.25,no.6,pp.914–936,2015.
[5]R.Z.Khasminskii,Stochastic Stability of Differential Equations,Rockville,MD:S.N.International Publisher,1980.
[6]Z.J.Wu,“Stability criteria of random nonlinear systems and their applications,”IEEE Trans.Autom.Control,vol.60,no.4,pp.1038–1049,2015.
[7]H.Zhang,Y.Q.Xia,and Z.J.Wu,“Noise-to-State Stability of Random Switched Systems and Its Applications,”IEEE Trans.Autom.Control,vol.61,no.6,pp.1607–1612,2016.
[8]T.C.Jiao,and W.X.Zheng,“On noise-to-state stability of random nonlinear systems with switchings,”in Proc.49th IEEE Int.Symp.Circuits Syst.,Montreal,Canada,pp.1862–1865,2016.
[9]T.C.Jiao,W.X.Zheng,and S.Y.Xu,“On Stability of a Class of Switched Nonlinear Systems Subject to Random Disturbances,”IEEE T.Circuits-I.,vol.63,no.12,pp.2278–2289,2016.
[10]T.C.Jiao,J.W.Lu,Y.M.Li,Y.M.Chu,and S.Y.Xu,“Stability analysis of random systems with Markovian switching and its application,”J.Franklin I.,vol.353,no.1,pp.200–220,2016.
[11]T.C.Jiao,W.X.Zheng,and S.Y.Xu,“Stability analysis for a class of random nonlinear impulsive systems,”Int.J.Robust Nonlin.,DOI:10.1002/rnc.3630,2016.
[12]B.Zhou,“Stability analysis of nonlinear time-varying systems by Lyapunov functions with indefinite derivatives,”ar Xiv preprint,ar Xiv:1512.02302,2015.
[2]R.H.Wang,and S.M.Fei,New stability and stabilization results for discrete-time switched systems,Appl.Math.Comput.,vol.238,pp.358–369,2014.
[3]L.L.Hou,G.D.Zong,and Y.Q.Wu,Robust exponential stability analysis of discrete-time switched Hopfield neural networks with time delay,Nonlinear Anal-Hybri,2011,vol.5,no.3,pp.525—534.
[4]G.D.Zong,R.H.Wang,W.X.Zheng,and L.L.Hou,“Finitetime H∞control for discrete-time switched nonlinear systems with time dealy”,Int.J.Robust Nonlinear Control,vol.25,no.6,pp.914–936,2015.
[5]R.Z.Khasminskii,Stochastic Stability of Differential Equations,Rockville,MD:S.N.International Publisher,1980.
[6]Z.J.Wu,“Stability criteria of random nonlinear systems and their applications,”IEEE Trans.Autom.Control,vol.60,no.4,pp.1038–1049,2015.
[7]H.Zhang,Y.Q.Xia,and Z.J.Wu,“Noise-to-State Stability of Random Switched Systems and Its Applications,”IEEE Trans.Autom.Control,vol.61,no.6,pp.1607–1612,2016.
[8]T.C.Jiao,and W.X.Zheng,“On noise-to-state stability of random nonlinear systems with switchings,”in Proc.49th IEEE Int.Symp.Circuits Syst.,Montreal,Canada,pp.1862–1865,2016.
[9]T.C.Jiao,W.X.Zheng,and S.Y.Xu,“On Stability of a Class of Switched Nonlinear Systems Subject to Random Disturbances,”IEEE T.Circuits-I.,vol.63,no.12,pp.2278–2289,2016.
[10]T.C.Jiao,J.W.Lu,Y.M.Li,Y.M.Chu,and S.Y.Xu,“Stability analysis of random systems with Markovian switching and its application,”J.Franklin I.,vol.353,no.1,pp.200–220,2016.
[11]T.C.Jiao,W.X.Zheng,and S.Y.Xu,“Stability analysis for a class of random nonlinear impulsive systems,”Int.J.Robust Nonlin.,DOI:10.1002/rnc.3630,2016.
[12]B.Zhou,“Stability analysis of nonlinear time-varying systems by Lyapunov functions with indefinite derivatives,”ar Xiv preprint,ar Xiv:1512.02302,2015.