Delay-interval-dependent robust stability results for uncertain stochastic systems with Markovian jumping parameters

被引：35
作者：
Balasubramaniam, P. [1 ]
Krishnasamy, R. [1 ]
Rakkiyappan, R. [2 ]
机构：
[1] Deemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 642302, Tamil Nadu, India
[2] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2011年 / 5卷 / 04期
关键词：
Linear matrix inequality; Uncertain stochastic systems; Lyapunov-Krasovskii functional; Markovian jumping parameters; Interval time-varying delays; H-INFINITY CONTROL; EXPONENTIAL STABILITY; NEURAL-NETWORKS; TIME-DELAY; STABILIZATION; DISCRETE; NONLINEARITY; CRITERIA;
D O I：
10.1016/j.nahs.2011.06.001
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the robust stability analysis of Markovian jumping uncertain stochastic systems with interval time-varying delays. The parametric uncertainties which appear in all system matrices are assumed to be norm bounded. A new Markovian jumping matrix Pi is introduced for deriving the stability results. Based on the Lyapunov stability theory and stochastic analysis technique, new improved delay-dependent robust stability criteria are derived by considering the relationship among the time-varying delay, its upper bound and their difference without ignoring any terms. Numerical examples are given to verify the effectiveness and less conservativeness of the proposed method. (c) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：681 / 691
页数：11
相关论文
共 21 条
  • [1] Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach
    Chen, WH
    Guan, ZH
    Lu, XM
    [J]. SYSTEMS & CONTROL LETTERS, 2005, 54 (06) : 547 - 555
  • [2] Delay-dependent robust control for uncertain stochastic time-delay systems
    Chen, Yun
    Xue, Anke
    Zhou, Shaosheng
    Lu, Renquan
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2008, 27 (04) : 447 - 460
  • [3] GU K., 2003, CONTROL ENGN SER BIR
  • [4] Delay-range-dependent stability for systems with time-varying delay
    He, Yong
    Wang, Qing-Guo
    Lin, Chong
    Wu, Min
    [J]. AUTOMATICA, 2007, 43 (02) : 371 - 376
  • [5] Improved exponential stability for stochastic Markovian jump systems with nonlinearity and time-varying delay
    He, Yong
    Zhang, Yan
    Wu, Min
    She, Jin-Hua
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (01) : 16 - 26
  • [6] 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
  • [7] Delay-range-dependent robust stability and stabilization for uncertain systems with time-varying delay
    Li, Tao
    Guo, Lei
    Zhang, Yuming
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2008, 18 (13) : 1372 - 1387
  • [8] An LMI-based approach for robust stabilization of uncertain stochastic systems with time-varying delays
    Lu, CY
    Tsai, JSH
    Jong, GJ
    Su, TJ
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (02) : 286 - 289
  • [9] Mao X., 2000, STABILITY CONTROL TH, V3, P87
  • [10] 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
123