Delay-dependent stability criterion for a class of non-linear singular Markovian jump systems with mode-dependent interval time-varying delays

被引：58
作者：
Balasubramaniam, P. [1 ]
Krishnasamy, R. [1 ]
Rakkiyappan, R. [2 ]
机构：
[1] Deemed Univ, Dept Math, Gandhigram Rural Inst, Gandhigram 624302, Tamil Nadu, India
[2] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 09期
关键词：
Non-linear singular systems; Linear matrix inequality; Lyapunov-Krasovskii functional; Markovian jump; Mode-dependent delay; H-INFINITY CONTROL; OUTPUT-FEEDBACK STABILIZATION; ROBUST STABILITY; LINEAR-SYSTEMS; NEURAL-NETWORKS; STATE;
D O I：
10.1016/j.cnsns.2012.01.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the problem of stability analysis of non-linear singular systems with Markovian jumping parameters and mode-dependent interval time varying delays. New delay-dependent stability conditions are derived in terms of linear matrix inequalities (LMIs) by constructing a mode-dependent Lyapunov-Krasovskii functional and using some integral inequalities. Numerical examples are presented to illustrate the usefulness and less conservativeness of the proposed theoretical results. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：3612 / 3627
页数：16
相关论文
共 50 条
  • [31] DELAY-RANGE-DEPENDENT H∞ CONTROL FOR MARKOVIAN JUMP SYSTEMS WITH MODE-DEPENDENT TIME DELAYS
    Wang, Guoliang
    Zhang, Qingling
    Sreeram, Victor
    ASIAN JOURNAL OF CONTROL, 2010, 12 (06) : 704 - 713
  • [32] Delay-dependent robust control for singular discrete-time Markovian jump systems with time-varying delay
    Zhou, Wuneng
    Lu, Hongqian
    Duan, Chunmei
    Li, Minghao
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (10) : 1112 - 1128
  • [33] Dissipativity analysis of singular systems with Markovian jump parameters and mode-dependent mixed time-delays
    Cui, Wen-xia
    Fang, Jian-an
    Shen, Yue-lin
    Zhang, Wen-bing
    NEUROCOMPUTING, 2013, 110 : 121 - 127
  • [34] Delay-dependent robust stability for uncertain linear systems with interval time-varying delay
    Jiang, Xiefu
    Han, Qing-Long
    AUTOMATICA, 2006, 42 (06) : 1059 - 1065
  • [35] An improved delay-dependent stability criterion for linear uncertain systems with multiple time-varying delays
    Liao, Fucheng
    Wu, Jiang
    Tomizuka, Masayoshi
    INTERNATIONAL JOURNAL OF CONTROL, 2014, 87 (04) : 861 - 873
  • [36] Delay-dependent H∞ Performance Analysis for Markovian Jump Systems with Mode-dependent Time Varying Delays and Partially Known Transition Rates
    Zhao, Xudong
    Zeng, Qingshuang
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2010, 8 (02) : 482 - 489
  • [37] Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays
    Botmart, T.
    Niamsup, P.
    Phat, V. N.
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (21) : 8236 - 8247
  • [38] H∞ Filtering for Markovian Switching System with Mode-Dependent Time-Varying Delays
    Balasubramaniam, P.
    Revathi, V. M.
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2014, 33 (02) : 347 - 369
  • [39] Improved Delay-dependent Stability Conditions for Systems with Interval Time-varying Delay
    Ge Xiaohua
    Jiang Xiefu
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 874 - 879
  • [40] DELAY-DEPENDENT H∞ CONTROL FOR MARKOVIAN JUMP SYSTEMS WITH DELAYS VARYING IN A RANGE
    Wang, Guoliang
    Zhang, Qingling
    DYNAMIC SYSTEMS AND APPLICATIONS, 2010, 19 (3-4): : 611 - 623
12345