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

Tinglong Pan | Zendy; Kun Yang | Zendy; Shen Yanxia | Zendy; Gao Zai-rui | Zendy; Zhicheng Ji | Zendy

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

Author(s) -

Tinglong Pan,

Kun Yang,

Shen Yanxia,

Gao Zai-rui,

Zhicheng Ji

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/979130

Subject(s) - dwell time , mathematics , control theory (sociology) , stability (learning theory) , bounded function , exponential stability , class (philosophy) , lyapunov function , interval (graph theory) , state (computer science) , computer science , control (management) , mathematical analysis , nonlinear system , algorithm , medicine , clinical psychology , physics , quantum mechanics , artificial intelligence , machine learning , combinatorics

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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