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

Abstract

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 delaydependent stability criterions are obtained with the result of uncertain liner system. Two examples illustrate the exactness of the proposed criterions.

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Cite this paper

@inproceedings{Li2010DelayDependentSC, title={Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay}, author={Jun Li and Weigen Wu and Jimin Yuan and Qianrong Tan and Xing Yin and Jianshe Yu}, year={2010} }