Matrix inequality approach to a novel stability criterion for time-delay systems with nonlinear uncertainties

被引：26

作者：

Kwon, O ^{[1
]}

Park, JH

机构：

[1] Samsung Heavy Ind Co, Mechatron Res Dept, Taejon, South Korea

[2] Yeungnam Univ, Sch Elect Engn & Comp Sci, Kyongsan 712749, South Korea

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2005年 / 126卷 / 03期

关键词：

time-delay systems; Lyapunov method; nonlinear uncertainties; convex optimization;

D O I：

10.1007/s10957-005-5501-9

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, a novel stability criterion is presented for time-delay systems which have nonlinear uncertainties. Based on the Lyapunov method, a stability criterion is derived in terms of matrix inequalities which can be solved easily by efficient convex optimization algorithms. Numerical examples are included to show the effectiveness of the proposed method.

引用

页码：643 / 656

页数：14

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