Delay-dependent stability analysis for discrete-time singular Markovian jump systems with time-varying delay

被引：45

作者：

Wu, Zheng-Guang ^{[1
]}

Shi, Peng ^{[2
,3
]}

Su, Hongye ^{[1
]}

Chu, Jian ^{[1
]}

机构：

[1] Zhejiang Univ, Inst Cyber Syst & Control, Natl Lab Ind Control Technol, Hangzhou 310027, Zhejiang, Peoples R China

[2] Univ Glamorgan, Dept Comp & Math Sci, Pontypridd CF37 1DL, M Glam, Wales

[3] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2012年 / 43卷 / 11期

基金：

国家高技术研究发展计划(863计划); 英国工程与自然科学研究理事会;

关键词：

singular systems; discrete-time systems; delay-dependent; Markovian jumping parameters; linear matrix inequality; H-INFINITY CONTROL; ROBUST STABILITY; LINEAR-SYSTEMS; STOCHASTIC-SYSTEMS; NEURAL-NETWORKS; STABILIZATION;

D O I：

10.1080/00207721.2011.564327

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 article considers the problem of delay-dependent stability analysis for a class of discrete-time singular systems with Markovian jump and time-varying delay. The transition probabilities in Markov chain are assumed to be partially unknown. In terms of linear matrix inequality approach, the delay-dependent criteria are proposed to ensure the underlying system to be regular, causal and stochastically stable. Several numerical examples are given to demonstrate the effectiveness and less conservatism of the obtained results.

引用

页码：2095 / 2106

页数：12

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