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		Jianwei XIA,Shengyuan XU,Yun ZOU.[en_title][J].Control Theory and Technology,2008,6(4):410~414.[Copy]

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JianweiXIA,ShengyuanXU,YunZOU
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Received:October 28, 2006Revised:September 21, 2007

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Robust reliable H-infinity control for nonlinear uncertain stochastic time-delay systems with Markovian jumping parameters

Jianwei XIA , Shengyuan XU, Yun ZOU

(School of Mathematics Science, Liaocheng University, Liaocheng Shandong 252000, China; School of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu 210094, China)

Abstract:

This paper deals with the problems of robust reliable exponential stabilization and robust stochastic stabilization with H-infinity performance for a class of nonlinear uncertain time-delay stochastic systems with Markovian jumping parameters. The time delays are assumed to be dependent on the system modes. Delay-dependent conditions for the solvability of these problems are obtained via parameter-dependent Lyapunov functionals. Furthermore, it is shown that the desired state feedback controller can be designed by solving a set of linear matrix inequalities. Finally, the simulation is provided to demonstrate the effectiveness of the proposed methods.

Key words: H-infinity control Markovian jump Reliable control Stochastic systems Time delays