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		Dong WANG,Wei WANG.[en_title][J].Control Theory and Technology,2009,7(3):257~263.[Copy]

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DongWANG,WeiWANG
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Received:November 06, 2007Revised:February 07, 2008

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Delay-dependent robust exponential stabilization foruncertain systems with interval time-varying delays

Dong WANG, Wei WANG

(Research Center of Information and Control, Dalian University of Technology, Dalian Liaoning 116024, China)

Abstract:

New robust exponential stabilization criteria for interval time-varying delay systems with norm-bounded uncertainties are proposed. Based on the free-weighting matrices and new Lyapunov-Krasovskii functionals, such criteria are obtained by dealing with system model directly and designing memoryless state feedback controllers and expressed interms of linear matrix inequalities (LMIs). Moreover, the criteria are applicable to the case whether the derivative of the time-varying delay is bounded or not. The state decay rate is estimated by the corresponding LMIs. Numerical examples are given to illustrate the effectiveness of the proposed method.

Key words: Delay-dependent Exponential stabilization Time-varying LMI Interval delay