On state feedback stabilization of singular systems with random abrupt changes

被引：9

作者：

Boukas, E. K. ^{[1
,2
]}

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 | 2008年 / 137卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

singular systems; jump linear systems; linear matrix inequality; stochastic stabilization; robust stochastic stabilization; state feedback controller;

D O I：

10.1007/s10957-007-9338-2

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 continuous-time singular linear systems with random abrupt changes. The state feedback stabilization and its robustness for this class of systems with norm-bounded uncertainties are tackled. Sufficient conditions for designing either a stabilizing controller or a robust stabilizing controller are developed in the LMI setting. The developed sufficient conditions are used to synthesize the state feedback controller that guarantees that either the nominal system or the uncertain system is piecewise regular, impulse free and stochastically stable or robust stochastically stable.

引用

页码：335 / 345

页数：11

共 31 条

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[9]

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[10]

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