A New Lyapunov Approach to Stability Analysis of Discrete-time Switched Linear Singular Systems

被引：1
|
作者：
Men Bo [1 ,2 ]
Li Xiaosong [3 ]
Zhang Qingling [1 ]
机构：
[1] Northeastern Univ, Inst Syst Sci, Shenyang 110004, Peoples R China
[2] Shenyang Normal Univ, Sch Math & Syst Sci, Shenyang 110034, Peoples R China
[3] Shenyang Railway Expt Middle Sch, Shenyang 110005, Peoples R China
来源：
2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5 | 2010年
关键词：
discrete-time switched singular systems; stability; strict linear Lyapunov inequalities; multiple Lyapunov functions;
D O I：
10.1109/CCDC.2010.5498785
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, multiple Lyapunov functions and Lyapunov inequalities are used to investigate the stability of discrete-time switched linear singular (DSLS) systems. Based on the existing criteria of stability for discrete-time switched systems, a sufficient condition of stability of DSLS for arbitrary switching laws is proposed in terms of a set of coupled strict linear inequalities. Then a method to construct a class of multiple Lyapunov functions is presented. Finally, an example is given to illustrate the main results in this paper.
引用
收藏
页码：2464 / +
页数：3
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