Improved results on stability of linear systems with time-varying delays via Wirtinger-based integral inequality

被引：127

作者：

Kwon, O. M. ^{[1
]}

Park, M. J. ^{[1
]}

Park, Ju H. ^{[2
]}

Lee, S. M. ^{[3
]}

Cha, E. J. ^{[4
]}

机构：

[1] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 362763, South Korea

[2] Yeungnam Univ, Dept Elect Engn, Nonlinear Dynam Grp, Kyongsan 712749, South Korea

[3] Daegu Univ, Sch Elect Engn, Gyongsan 712714, South Korea

[4] Chungbuk Natl Univ, Sch Med, Dept Biomed Engn, Cheongju 362763, South Korea

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 12期

基金：

新加坡国家研究基金会;

关键词：

ROBUST STABILITY; DEPENDENT STABILITY; CRITERIA; STABILIZATION;

D O I：

10.1016/j.jfranklin.2014.09.021

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problem of stability analysis for linear systems with time-varying delays is considered. By the consideration of new augmented Lyapunov functionals, improved delay-dependent stability criteria for asymptotic stability of the system are proposed for two cases of conditions on time-varying delays with the framework of linear matrix inequalities (LMIs), which can be solved easily by various efficient convex optimization algorithms. The enhancement of the feasible region of the proposed criteria is shown via three numerical examples by the comparison of maximum delay bounds. (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：5386 / 5398

页数：13

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