Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay | Zendy

Jun Li | Zendy; Weigen Wu | Zendy; Jimin Yuan | Zendy; Qianrong Tan | Zendy; Yin Xing | Zendy

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Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay

Author(s) -

Jun Li,

Weigen Wu,

Jimin Yuan,

Qianrong Tan,

Yin Xing

Publication year - 2010

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2010/347129

Subject(s) - control theory (sociology) , mathematics , weighting , stability (learning theory) , stability criterion , quadratic equation , linear matrix inequality , stability theory , matrix (chemical analysis) , linear system , computer science , mathematical optimization , nonlinear system , mathematical analysis , control (management) , medicine , statistics , physics , geometry , discrete time and continuous time , materials science , quantum mechanics , artificial intelligence , machine learning , composite material , radiology

This paper deals with the problem of delay-dependent stability criterion of arbitrary switched linear systems with time-varying delay. Based on switched quadratic Lyapunov functional approach and free-weighting matrix approach, some linear matrix inequality criterions are found to guarantee delay-dependent asymptotically stability of these systems. Simultaneously, arbitrary switched linear system can be expressed as a problem of uncertain liner system, so some delay-dependent stability criterions are obtained with the result of uncertain liner system. Two examples illustrate the exactness of the proposed criterions. Copyright © 2010 Jun Li et al.

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