Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays

被引：16
|
作者：
Rajchakit, Manlika [1 ]
Rajchakit, Grienggrai [1 ]
机构：
[1] Maejo Univ, Fac Sci, Chiangmai 50290, Thailand
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
ROBUST STABILITY; EQUATIONS; STABILIZABILITY; STABILIZATION; CRITERIA;
D O I：
10.1155/2012/623014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with mean square exponential stability of switched stochastic system with interval time-varying delays. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton's formula, a switching rule for the mean square exponential stability of switched stochastic system with interval time-varying delays and new delay-dependent sufficient conditions for the mean square exponential stability of the switched stochastic system are first established in terms of LMIs. Numerical example is given to show the effectiveness of the obtained result.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] Mean square exponential stability of uncertain Stochastic hopfield neural networks with interval time-varying delays
    Qiu, Jiqing
    Yang, Hongjiu
    Xia, Yuanqing
    Zhang, Jinhui
    [J]. ADVANCED INTELLIGENT COMPUTING THEORIES AND APPLICATIONS, PROCEEDINGS: WITH ASPECTS OF ARTIFICIAL INTELLIGENCE, 2007, 4682 : 110 - 119
  • [2] Mean square exponential stability of stochastic cellular neural networks with time-varying delays
    Huang, Chuangxia
    He, Yigang
    Zhang, Ying
    [J]. 2007 SECOND INTERNATIONAL CONFERENCE ON BIO-INSPIRED COMPUTING: THEORIES AND APPLICATIONS, 2007, : 131 - +
  • [3] MEAN SQUARE EXPONENTIAL STABILITY OF GENERALIZED STOCHASTIC NEURAL NETWORKS WITH TIME-VARYING DELAYS
    Yu, Jianjiang
    Zhang, Kanjian
    Fei, Shumin
    [J]. ASIAN JOURNAL OF CONTROL, 2009, 11 (06) : 633 - 642
  • [4] Mean square exponential stability of stochastic genetic regulatory networks with time-varying delays
    Wang, Zhengxia
    Liao, Xiaofeng
    Guo, Songtao
    Wu, Haixia
    [J]. INFORMATION SCIENCES, 2011, 181 (04) : 792 - 811
  • [5] Mean Square Stability for Stochastic Neural Networks with Distributed and Interval Time-varying Delays
    Wu, Haixia
    Feng, Wei
    Zhang, Wei
    Dan, Songjian
    [J]. CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 3224 - +
  • [6] Exponential stability of switched linear systems with interval time-varying delays
    Rajchakit, Grienggrai
    [J]. 2012 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND BIOMIMETICS (ROBIO 2012), 2012,
  • [7] Mean square stability of uncertain stochastic BAM neural networks with interval time-varying delays
    Wu, Haixia
    Liao, Xiaofeng
    Feng, Wei
    Guo, Songtao
    [J]. COGNITIVE NEURODYNAMICS, 2012, 6 (05) : 443 - 458
  • [8] Mean square stability of uncertain stochastic BAM neural networks with interval time-varying delays
    Haixia Wu
    Xiaofeng Liao
    Wei Feng
    Songtao Guo
    [J]. Cognitive Neurodynamics, 2012, 6 : 443 - 458
  • [9] ON THE MEAN SQUARE EXPONENTIAL STABILITY FOR A STOCHASTIC FUZZY CELLULAR NEURAL NETWORK WITH DISTRIBUTED DELAYS AND TIME-VARYING DELAYS
    Xu, Changjin
    Liao, Maoxin
    Zhang, Qiming
    [J]. INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2015, 11 (01): : 247 - 256
  • [10] Mean-Square Exponential Stability and Stabilisation of Stochastic Singular Systems with Multiple Time-Varying Delays
    Li, Jian-Ning
    Zhang, Yibo
    Pan, Ya-Jun
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2015, 34 (04) : 1187 - 1210
12345