Robust stability analysis of uncertain systems with two additive time-varying delay components

被引：63

作者：

Wu, Haixia ^{[1
,2
]}

Liao, Xiaofeng ^{[1
]}

Feng, Wei ^{[2
]}

Guo, Songtao ^{[1
]}

Zhang, Wei ^{[2
]}

机构：

[1] Chongqing Univ, Dept Comp Sci & Engn, Chongqing 400030, Peoples R China

[2] Chongqing Educ Coll, Dept Comp & Modern Educ Technol, Chongqing 400067, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2009年 / 33卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Time-delay systems; Additive delay components; Robust stability; Linear matrix inequality (LMI); H-INFINITY CONTROL; DEPENDENT STABILITY; LINEAR-SYSTEMS; CRITERIA; STABILIZATION;

D O I：

10.1016/j.apm.2009.03.008

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is concerned with stability analysis for uncertain systems. The systems are based on a new time-delay model proposed recently, which contains multiple successive delay components in the state. The relationship between the time-varying delay and its upper bound is taken into account when estimating the upper bound of the derivative of Lyapunov functional. As a result, some less conservative stability criteria are established for systems with two successive delay components and parameter uncertainties. Numerical examples show that the proposed criteria are effective and are an improvement over some existing results in the literature. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：4345 / 4353

页数：9

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