Robust stabilization of switched systems with time-delay

被引：0

作者：

Liu, XL ^{[1
]}

Duan, GR ^{[1
]}

机构：

[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2006年 / 13卷

关键词：

switched systems; robust stabilization; Lyapunov function; linear matrix inequality;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note deals with robust stabilization of switched systems with time-delay under arbitrarily switching sequences in the discrete-time domain. The proposed approach in this note detects the existence of a switched quadratic Lyapunov function to check asymptotic stability of the switched systems with time-delay tinder arbitrarily switching sequences. Two equivalent conditions based on linear matrix inequalities are developed for guaranteeing the stability of switched systems with time-delay under arbitrarily switching sequences. According to these conditions, the state feedback control law is given to ensure robust stabilization of switched systems with uncertainties. At last, a numerical example illustrates the reduction of conversation.

引用

页码：819 / 826

页数：8

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