Finite-Time Stability Analysis for a Class of Continuous Switched Descriptor Systems

被引：4
|
作者：
Pan Tinglong [1 ]
Yang Kun [1 ]
Shen Yanxia [1 ]
Gao Zairui [1 ]
Ji Zhicheng [1 ]
机构：
[1] Jiangnan Univ, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷
基金：
中国国家自然科学基金;
关键词：
H-INFINITY CONTROL; L-2-GAIN ANALYSIS; SINGULAR SYSTEMS; LINEAR-SYSTEMS; STABILIZATION; BOUNDEDNESS;
D O I：
10.1155/2014/979130
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Finite-time stability has more practical application values than the classical Lyapunov asymptotic stability over a fixed finite-time interval. The problems of finite-time stability and finite-time boundedness for a class of continuous switched descriptor systems are considered in this paper. Based on the average dwell time approach and the multiple Lyapunov functions technique, the concepts of finite-time stability and boundedness are extended to continuous switched descriptor systems. In addition, sufficient conditions for the existence of state feedback controllers in terms of linear matrix inequalities (LMIs) are obtained with arbitrary switching rules, which guarantee that the switched descriptor system is finite-time stable and finite-time bounded, respectively. Finally, two numerical examples are presented to illustrate the reasonableness and effectiveness of the proposed results.
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收藏
页数：9
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