An Improved Delay-Dependent Criterion for Asymptotic Stability of Uncertain Dynamic Systems with Time-Varying Delays

被引：55

作者：

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

Park, J. H. ^{[2
]}

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

机构：

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

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

[3] Daegu Univ, Sch Elect Engn, Kyongsan, South Korea

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2010年 / 145卷 / 02期

关键词：

Dynamic systems; Time-varying delays; LMI; Lyapunov method; NEUTRAL SYSTEMS; DIFFERENTIAL SYSTEMS; NONLINEAR UNCERTAINTIES; ROBUST STABILIZATION; CONTROL INPUT; LMI APPROACH; STATE;

D O I：

10.1007/s10957-009-9637-x

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, the problem of stability analysis for uncertain dynamic systems with time-varying delays is considered. The parametric uncertainties are assumed to be bounded in magnitude. Based on the Lyapunov stability theory, a new delay-dependent stability criterion for the system is established in terms of linear matrix inequalities, which can be solved easily by various efficient convex optimization algorithms. Two numerical examples are illustrated to show the effectiveness of proposed method.

引用

页码：343 / 353

页数：11

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