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

Jun Li, Weigen Wu, Jimin Yuan, Qianrong Tan and Xing Yin

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-16

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

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:347129

DOI: 10.1155/2010/347129

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