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		Yujuan YIN,Jun ZHAO,Yuzhong LIU.[en_title][J].Control Theory and Technology,2008,6(1):86~92.[Copy]

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YujuanYIN,JunZHAO,YuzhongLIU
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Received:August 11, 2006Revised:May 08, 2007

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H-infinity control for switched and impulsive singular systems

Yujuan YIN, Jun ZHAO, Yuzhong LIU

(School of Mathematics, Liaoning University, Shenyang Liaoning 110036, China;School of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China;School of Mathematics and System Science, Shenyang Normal University, Shenyang Liaoning 110034, China.)

Abstract:

A new model of dynamical systems is proposed which consists of singular systems with impulsive effects,i.e., switched and impulsive singular systems (SISS). By using the switched Lyapunov functions method, a sufficient condition for the solvability of the H-infinity control problem for SISSs is given which generalizes the H-infinity control theory for singular systems to switched singular systems with impulsive effects. Then the sufficient condition of solvablity of the H-infinity control problem is presented in terms of linear matrix inequalities. Finally, the effectiveness of the developed approach for switched and impulsive singular systems is illustrated by a numerical example.

Key words: Switched systems Switched singular systems H-infinity control