New stability criteria for linear systems with interval time-varying delay

被引：211

作者：

Jiang, Xiefu ^{[1
,2
]}

Han, Qing-Long ^{[1
,3
]}

机构：

[1] Cent Queensland Univ, Ctr Intelligent & Networked Syst, Rockhampton, Qld 4702, Australia

[2] Hangzhou Dianzi Univ, Sch Automat, Hangzhou 310018, Peoples R China

[3] Cent Queensland Univ, Sch Comp Sci, Rockhampton, Qld 4702, Australia

来源：

AUTOMATICA | 2008年 / 44卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Lyapunov-Krasovskii functional; Robustness; Uncertainty; Stability; Delay; Linear matrix inequality (LMI);

D O I：

10.1016/j.automatica.2008.02.020

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 investigates robust stability of uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval and is a fast time-varying function. The uncertainty Under consideration includes polytopic-type uncertainty and linear fractional norm-bounded Uncertainty. A new Lyapunov-Krasovskii functional, which makes use of the information of both the lower and upper bounds of the interval time-varying delay, is proposed to drive some new delay-dependent stability criteria. In order to obtain much less conservative results, a tighter bounding for some term is estimated. Moreover, no redundant matrix variable is introduced. Finally, three numerical examples are given to show the effectiveness of the proposed stability criteria. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2680 / 2685

页数：6

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