Uniform finite-time stability of discrete-time switched descriptor systems

被引：8
|
作者：
Gao Zai-Rui [1 ]
Shen Yan-Xia [1 ]
Ji Zhi-Cheng [1 ]
机构：
[1] Jiangnan Univ, Inst Elect Automat, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Peoples R China
来源：
ACTA PHYSICA SINICA | 2012年 / 61卷 / 12期
基金：
中国国家自然科学基金;
关键词：
discrete-time descriptor systems; switched systems; uniform finite-time stability; state feedback; LINEAR-SYSTEMS;
D O I：
10.7498/aps.61.120203
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The problem of uniform finite-time stability for a class of discrete-time switched descriptor systems is considered. Firstly, the concept of finite-time stability for continuous descriptor systems is extended to discrete-time switched descriptor systems. Secondly, based on the Lyapunov-like function method, and under arbitrary switching signal, sufficient conditions under which discrete-time switched descriptor systems are regular and causal, uniform finite-time bounded and uniform finite-time stable, are derived. Furthermore, the state feedback controllers are designed to guarantee the discrete-time switched descriptor system uniform finite-time stable. Finally, some numerical examples show that the results obtained in this paper are effective.
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页数：6
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