Stochastic stability analysis for discrete-time singular Markov jump systems with time-varying delay and piecewise-constant transition probabilities

被引：95
|
作者：
Wu, Zheng-Guang [1 ,2 ]
Park, Ju H. [1 ]
Su, Hongye [2 ]
Chu, Jian [2 ]
机构：
[1] Yeungnam Univ, Dept Elect Engn, Nonlinear Dynam Grp, Kyongsan 712749, South Korea
[2] Zhejiang Univ, Inst Cyber Syst & Control, Natl Lab Ind Control Technol, Hangzhou 310027, Zhejiang, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2012年 / 349卷 / 09期
基金：
中国国家自然科学基金;
关键词：
NEURAL-NETWORKS; ROBUST STABILITY; LINEAR-SYSTEMS; STATE ESTIMATION; STABILIZATION; CRITERION;
D O I：
10.1016/j.jfranklin.2012.08.012
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 concerns the stochastic stability analysis for discrete-time singular Markov jump systems with time-varying delay and time-varying transition probabilities. The time-varying transition probabilities in the underlying systems are assumed to be finite piecewise-constant. Based on the delay partitioning technique, a delay-dependent stochastic stability condition is derived for these systems, which is formulated by linear matrix inequalities and thus can be checked easily. Some special cases are also considered. Finally, two numerical examples are provided to demonstrate the application and less conservativeness of the developed approaches. (c) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：2889 / 2902
页数：14
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