Less conservative results on stability for linear systems with a time-varying delay

被引：45

作者：

Zeng, Hong-Bing ^{[1
,2
]}

He, Yong ^{[1
]}

Wu, Min ^{[1
]}

Xiao, Shen-Ping ^{[2
]}

机构：

[1] Cent South Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China

[2] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412008, Peoples R China

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2013年 / 34卷 / 06期

基金：

中国国家自然科学基金;

关键词：

linear systems; time-varying delay; delay-dependent stability; Lyapunov-Krasovskii functional; H-INFINITY CONTROL; DEPENDENT STABILITY; ROBUST STABILITY; ABSOLUTE STABILITY; CRITERIA;

D O I：

10.1002/oca.2046

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 is focused on the problem of stability for linear systems with a time-varying delay. A novel Lyapunov-Krasovskii functional that decomposed the delay in all integral terms is proposed. As a result, some less conservative stability criteria are derived by considering the relationship between time-varying delay and its intervals, which have wider application than the existing ones because independent upper bounds of the delay derivative in the various delay intervals are taken into account. Some numerical examples are finally given to show the effectiveness and the benefits of the proposed method. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：670 / 679

页数：10

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