Dynamical systems with multiple time-varying delays: Stability and stabilizability

被引：7

作者：

Mehdi, D ^{[1
]}

Boukas, EK

Liu, ZK

机构：

[1] Ecole Super Ingn Poitiers, Lab Automat & Informat Ind, Poitiers, France

[2] GERAD, Montreal, PQ, Canada

[3] Ecole Polytech Montreal, Dept Mech Engn, Montreal, PQ, Canada

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2002年 / 113卷 / 03期

关键词：

dynamical systems; multiple time-varying delays; stability; robust stability; stabilizability; robust stabilizability; system robustness;

D O I：

10.1023/A:1015360805050

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：

This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. System robustness is also studied when the norm-bounded uncertainties are considered. LMI delay-dependent sufficient conditions for stability, stabilizability, and system robustness are established to check whether a system of this class is stable and/or stabilizable. Numerical examples are provided to show the usefulness of the proposed results.

引用

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页码：537 / 565

页数：29

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