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		Min WU,Yong HE,Jinhua SHE.[en_title][J].Control Theory and Technology,2003,1(1):97~100.[Copy]

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MinWU,YongHE,JinhuaSHE
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Delay-dependent criteria for the robust stability of systems with time-varying delay

Min WU, Yong HE, Jinhua SHE

(School of Information Science and Engineering, Central South University, Changsha Hunan 410083, China;School of Mathematical Science and Computing Technology, Central South University, Changsha Hunan 410083, China;Department of Mechatronics, Tokyo University of Technology, Tokyo 192-0982, Japan)

Abstract:

The problem of delay-dependent robust stability for systems with time-varying delay has been considered. By using the S-procedure and the Park's inequality in the recent issue, a delay-dependent robust stability criterion which is less conservative than the previous results has been derived for time-delay systems with time-varying structured uncertainties. The same idea has also been easily extended to the systems with nonlinear perturbations. Numerical examples illustrated the effectiveness and the improvement of the proposed approach.

Key words: Delay-dependent criteria Robust stability Time-varying structured uncertainties Nonlinear perturbations Linear matrix inequality