Stability of some linear systems with delays

被引：234

作者：

Kolmanovskii, VB ^{[1
]}

Richard, JP

机构：

[1] Russian Acad Sci, Space Res Inst, MIEM, Moscow 109172, Russia

[2] Ecole Cent Lille, LAIL, UPRESA 8021, CNRS, F-59651 Villeneuve Dascq, France

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1999年 / 44卷 / 05期

关键词：

delay systems; hereditary systems; Lyapunov-Krassovskii method; Riccati equations; stability;

D O I：

10.1109/9.763213

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Asymptotic stability of a class of linear equations with arbitrary discrete and distributed delays is investigated. Both delay-independent and delay-dependent stability conditions are formulated in terms of existence of positive definite solutions to Riccati matrix equations. The approach of deriving various Riccati equations using the direct Lyapunov method is proposed.

引用

页码：984 / 989

页数：6

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