Delay-Dependent Robust Stability of Uncertain Nonlinear Stochastic Systems with Time-Varying Delay

被引:0
|
作者
Wang, Cheng [1 ]
Xu, Yun [1 ]
机构
[1] Huanggang Normal Univ, Coll Math & Comp Sci, Huanggang 438000, Peoples R China
关键词
stochastic nonlinear systems; Time-delay; linear matrix inequality; STABILIZATION; CRITERIA;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The problem of delay-dependent stability for a class of uncertain stochastic system with time-varying delay and nonlinear uncertainties is studied in this paper. Both the slowly time-varying delays and fast time-varying delays are considered. By using Lyapunov stability theory, delay- dependent stability criterion is derived by introducing free weighting matrices which can be chosen properly to lead to a less conservative result. The criterion is given in terms of linear matrix inequalities (LMIs) which can be easily solved by LMI Toolbox in Matlab.
引用
收藏
页码:424 / 429
页数:6
相关论文
共 50 条
  • [1] Delay-dependent robust stability criteria of uncertain stochastic systems with time-varying delay
    Yan, Huaicheng
    Huang, Xinhan
    Zhang, Hao
    Wang, Min
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 40 (04) : 1668 - 1679
  • [2] Improved Delay-dependent Robust Stability for Uncertain Stochastic Systems with Time-varying Delay
    Yan, Zhang
    Yong, He
    Min, Wu
    [J]. PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 764 - 768
  • [3] Delay-Dependent Stability of Nonlinear Uncertain Stochastic Systems with Time-Varying Delays
    Wang, Cheng
    [J]. ADVANCES IN NEURAL NETWORKS - ISNN 2010, PT 1, PROCEEDINGS, 2010, 6063 : 675 - 683
  • [4] Robust Delay-dependent Exponential Stability of Uncertain Stochastic System with Time-varying Delay
    Hua, Mingang
    Deng, Feiqi
    Liu, Xinzhi
    Peng, Yunjian
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2010, 29 (03) : 515 - 526
  • [5] Robust Delay-dependent Exponential Stability of Uncertain Stochastic System with Time-varying Delay
    Mingang Hua
    Feiqi Deng
    Xinzhi Liu
    Yunjian Peng
    [J]. Circuits, Systems and Signal Processing, 2010, 29 : 515 - 526
  • [6] Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay
    Mao, Weihua
    Deng, Feiqi
    Wan, Anhua
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [7] Delay-dependent robust control of uncertain stochastic fuzzy systems with time-varying delay
    Huang, H.
    Ho, D. W. C.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (04): : 1075 - 1085
  • [8] Delay-dependent Exponential Stability of Uncertain Stochastic Systems with Time-varying Delay and Nonlinearities
    Yan Huaicheng
    Meng Max Q.-H.
    Zhang Hao
    Huang Xinhan
    [J]. PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 136 - +
  • [9] Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay
    Peng, Chen
    Tian, Yu-Chu
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 214 (02) : 480 - 494
  • [10] Delay-dependent robust stability for uncertain linear systems with interval time-varying delay
    Jiang, Xiefu
    Han, Qing-Long
    [J]. AUTOMATICA, 2006, 42 (06) : 1059 - 1065