Stability and stabilization of switched descriptor systems under arbitrary switching

被引：0

作者：

Xie, GM ^{[1
]}

Wang, L ^{[1
]}

机构：

[1] Peking Univ, Dept Mech & Engn Sci, Ctr Syst & Control, Beijing 100871, Peoples R China

来源：

2004 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN & CYBERNETICS, VOLS 1-7 | 2004年

关键词：

switched descriptor systems; regularity; causality; stability; stabilization; common decomposition; common Lyapunov-like inequalities; switched Lyapunov-like inequalities;

D O I：

暂无

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 stability and stabilization of switched descriptor systems in discrete-time domain. First, the concept of regularity, causality are formulated for such systems. Next, the stability under arbitrary switching signals are investigated. The common Lyapunov functional method and the switched Lyapunov Junctional method are extended from the regular switched linear systems to the switched descriptor case. Some sufficient conditions are established under which the system is regular, causal and asymptotically stable under arbitrary switching signal, and., if a set of matrix inequalities is solvable, a switched state feedback controller can be designed to stabilize the system under arbitrary switching signal.

引用

页码：779 / 783

页数：5

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