Robust stability and stabilizability of Markov jump linear uncertain systems with mode-dependent time delays

被引：77

作者：

Boukas, EK ^{[1
]}

Liu, ZK

机构：

[1] Ecole Polytech, Gerad, Montreal, PQ H3C 3A7, Canada

[2] Ecole Polytech, Dept Mech Engn, Montreal, PQ H3C 3A7, Canada

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2001年 / 109卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Markov processes; time delays; robust stability; linear matrix inequalities;

D O I：

10.1023/A:1017515721760

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 studies the class of uncertain linear systems with time delay and Markov jump disturbance, in which the time delay is assumed to be dependent on the system mode. An LMI-based condition for this class of systems to be robustly stable is established. Sufficient conditions for the robust stabilizability under a state feedback controller are developed, and an LMI-based method to design the state feedback is proposed. Numerical examples are worked out to show the usefulness of the theoretical results.

引用

页码：587 / 600

页数：14

共 9 条

[1] Robust stabilizability of uncertain linear time-delay systems with Markovian jumping parameters [J].