Stochastic stability and stabilization of discrete-time singular Markovian jump systems with partially unknown transition probabilities

被引：15

作者：

Wang, Jianhua ^{[1
]}

Zhang, Qingling ^{[1
,2
]}

Yan, Xing-Gang ^{[2
]}

Zhai, Ding ^{[1
]}

机构：

[1] Northeastern Univ, Inst Syst Sci, Shenyang 110819, Liaoning, Peoples R China

[2] Univ Kent, Sch Engn & Digital Arts, Canterbury CT2 7NT, Kent, England

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2015年 / 25卷 / 10期

关键词：

singular Markovian jump systems; stability; stabilization; partially unknown transition probabilities; linear matrix inequalities (LMIs); H-INFINITY CONTROL; LINEAR-SYSTEMS;

D O I：

10.1002/rnc.3146

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 considers the stochastic stability and stabilization of discrete-time singular Markovian jump systems with partially unknown transition probabilities. Firstly, a set of necessary and sufficient conditions for the stochastic stability is proposed in terms of LMIs, then a set of sufficient conditions is proposed for the design of a state feedback controller to guarantee that the corresponding closed-loop systems are regular, causal, and stochastically stable by employing the LMI technique. Finally, some examples are provided to demonstrate the effectiveness of the proposed approaches. Copyright (c) 2014 John Wiley & Sons, Ltd.

引用

页码：1423 / 1437

页数：15

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