Lyapunov equation for the stability of linear delay systems of retarded and neutral type

被引：75

作者：

Bliman, PA ^{[1
]}

机构：

[1] Inst Natl Rech Informat & Automat, F-78153 Le Chesnay, France

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2002年 / 47卷 / 02期

关键词：

delay-independent stability; linear delay systems; linear matrix inequalities (LMIs); polytopic uncertainties; quadratic Lyapunov-Krasovskii functionals;

D O I：

10.1109/9.983374

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, the delay-independent stability of delay systems is studied. It is shown that the strong delay-independent stability is equivalent to the feasibility of certain linear matrix inequality (LMI), that is to the existence of a quadratic Lyapunov-Krasovskii functional, independent of the (nonnegative) value of the delay. This constitutes the analogue of some well-known properties of finite-dimensional systems. This result is then applied to study delay-independent stability of systems with polytopic uncertainties.

引用

页码：327 / 335

页数：9

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