Exponential Stability of Infinite Dimensional Linear Stochastic Systems with Time Delay

被引：0
|
作者：
Dai Xisheng [1 ]
Deng Feiqi
Luo Wenguang [1 ]
机构：
[1] Guangxi Univ Technol, Dept Elect Informat & Control Engn, Liuzhou 545006, Peoples R China
来源：
2011 30TH CHINESE CONTROL CONFERENCE (CCC) | 2011年
关键词：
Infinite Dimensional Stochastic Systems; Stability; Ito Formula; Linear Operator Inequality(LOI); FUNCTIONAL-DIFFERENTIAL EQUATIONS; MILD SOLUTIONS; HILBERT-SPACES; WAVE-EQUATION; CONTROLLABILITY;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, exponential stability of infinite dimensional stochastic systems with delay is considered. Firstly, we construct the suitable Lyapunov functions. And then sufficient conditions for exponential stability of infinite dimensional linear stochastic systems with delay are derived by using Ito formula and Poincare inequality in partial differential equations. The conditions are formulated as linear operator inequality, where the decision variables are operators. Finally, being applied to a heat equations and to a wave equations, these conditions are reduced to standard Linear Matrix Inequalities.
引用
收藏
页码：1407 / 1412
页数：6
相关论文
共 50 条
  • [31] On the uniform exponential stability of a wide class of linear time-delay systems
    De la Sen, M
    Luo, NS
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 289 (02) : 456 - 476
  • [32] EXPONENTIAL STABILITY OF LINEAR DISTRIBUTED PARAMETER SWITCHED SYSTEMS WITH TIME-DELAY
    BAO Leping
    FEI Shumin
    YU Lei
    Journal of Systems Science & Complexity, 2014, 27 (02) : 263 - 275
  • [33] Necessary Exponential Stability Conditions for Linear Discrete Time-Delay Systems
    Li, Haifang
    Zhao, Ning
    Zhang, Xian
    PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC), 2018, : 90 - 95
  • [34] Exponential stability of linear distributed parameter switched systems with time-delay
    Leping Bao
    Shumin Fei
    Lei Yu
    Journal of Systems Science and Complexity, 2014, 27 : 263 - 275
  • [35] Necessary exponential stability conditions for linear periodic time-delay systems
    Gomez, Marco A.
    Ochoa, Gilberto
    Mondie, Sabine
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (18) : 3996 - 4007
  • [36] Stability Analysis of Linear Time-Invariant Fractional Exponential Delay Systems
    Pakzad, Mohammad Ali
    Nekoui, Mohammad Ali
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2014, 61 (09) : 721 - 725
  • [37] Delay-Dependent Exponential Stability of Neutral Stochastic Delay Systems
    Huang, Lirong
    Mao, Xuerong
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (01) : 147 - 152
  • [38] Mean square exponential stability for some stochastic linear discrete time systems
    Dragan, Vasile
    Morozan, Toader
    EUROPEAN JOURNAL OF CONTROL, 2006, 12 (04) : 373 - 395
  • [39] Delay-dependent Exponential Stability of Uncertain Stochastic Systems with Time-varying Delay and Nonlinearities
    Yan Huaicheng
    Meng Max Q.-H.
    Zhang Hao
    Huang Xinhan
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 136 - +
  • [40] ROBUST EXPONENTIAL STABILITY AND STABILIZATION OF A CLASS OF NONLINEAR STOCHASTIC TIME-DELAY SYSTEMS
    Li, Yanjiang
    Zhang, Xian
    Yuan, Meng
    ASIAN JOURNAL OF CONTROL, 2013, 15 (04) : 1168 - 1177
12345