Stability and Robust Stability of Integral Delay Systems

被引：3

作者：

Melchor-Aguilar, Daniel ^{[1
]}

Kharitonov, Vladimir ^{[2
]}

Lozano, Rogelio ^{[3
]}

机构：

[1] IPICyT, Div Appl Math, San Luis Potosi 78216, Mexico

[2] Sankt Petersburg State Univ, Fac Appl Math & Control Theory, St Petersburg, Russia

[3] Ctr Rech Royallieu, HEUDIASYC UMR 6599, F-60205 Compiegne, France

来源：

47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008) | 2008年

基金：

中国国家自然科学基金;

关键词：

integral delay systems; Lyapunov-Krasovskii functionals; stability; robust stability;

D O I：

10.1109/CDC.2008.4738741

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 paper we consider a special class of integral delay systems arising in several stability problems of time-delay systems. For these integral systems we derive stability and robust stability conditions in terms of Lyapunov-Krasovskii functionals. More explicitly, after providing the stability conditions we compute quadratic functionals and apply them to derive exponential estimates for solutions, and robust stability conditions for perturbed integral delay systems.

引用

页码：4640 / 4645

页数：6

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