LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov-Krasovskii functionals

被引：30

作者：

Bliman, PA

机构：

[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

[2] INRIA, F-78153 Le Chesnay, France

来源：

SYSTEMS & CONTROL LETTERS | 2001年 / 43卷 / 04期

关键词：

linear delay systems; delay-independent stability; quadratic Lyapunov-Krasovskii functionals; linear matrix inequalities;

D O I：

10.1016/S0167-6911(01)00108-6

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 note is proposed an analogue for linear delay systems of the characterization of asymptotic stability of the rational systems by the solvability of associated Lyapunov equation, It is shown that strong delay-independent stability of delay system is equivalent to the feasibility of certain linear matrix inequality (LMI), related to quadratic Lyapunov-Krasovskii functionals. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：263 / 274

页数：12

共 21 条

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