Stability analysis of systems with time-varying delay via relaxed integral inequalities

被引：276

作者：

Zhang, Chuan-Ke ^{[1
,2
]}

He, Yong ^{[1
]}

Jiang, L. ^{[2
]}

Wu, Min ^{[1
]}

Zeng, Hong-Bing ^{[3
]}

机构：

[1] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China

[2] Univ Liverpool, Dept Elect Engn & Elect, Liverpool L69 3GJ, Merseyside, England

[3] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412007, Peoples R China

来源：

SYSTEMS & CONTROL LETTERS | 2016年 / 92卷

基金：

中国国家自然科学基金;

关键词：

Time-delay system; Time-varying delay; Stability; Relaxed integral inequality; Linear matrix inequality; DEPENDENT STABILITY; ROBUST STABILITY; LINEAR-SYSTEMS; CRITERIA; STABILIZATION; FUNCTIONALS;

D O I：

10.1016/j.sysconle.2016.03.002

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 the stability of linear systems with a time-varying delay. The key problem concerned is how to effectively estimate single integral term with time-varying delay information appearing in the derivative of Lyapunov-Krasovskii functional. Two novel integral inequalities are developed in this paper for this estimation task. Compared with the frequently used inequalities based on the combination of Wirtinger-based inequality (or Auxiliary function-based inequality) and reciprocally convex lemma, the proposed ones can provide smaller bounding gap without requiring any extra slack matrix. Four stability criteria are established by applying those inequalities. Based on three numerical examples, the advantages of the proposed inequalities are illustrated through the comparison of maximal admissible delay bounds provided by different criteria. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：52 / 61

页数：10

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