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		Junhao HU,Huayou WANG,Xinzhi LIU,Bin LIU.[en_title][J].Control Theory and Technology,2005,3(1):93~100.[Copy]

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JunhaoHU,HuayouWANG,XinzhiLIU,BinLIU
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Received:April 26, 2004Revised:December 21, 2004

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Optimization problems for switched systems with impulsive control

Junhao HU , Huayou WANG, Xinzhi LIU , Bin LIU

(Department of Computer Science ,South Central University for Nationalities ,Wuhan Hubei 430074 , China ; Department of Control Science and Engineering , Huazhong University of Science and Technology ,Wuhan Hubei 430074 , China ; Department of Applied Mathematics ,University of Waterloo ,Waterloo ,Ontario N2L 3G1 , Canada)

Abstract:

By using Impulsive Maximum Principal and three stage optimization method , this paper discusses optimization problems for linear impulsive switched systems with hybrid controls ,which includes continuous control and impulsive control. The linear quadratic optimization problems without constraints such as optimal hybrid control , optimal stability and optimal switching instants are addressed in detail. These results are applicable to optimal control problems in economics ,mechanics ,and management .

Key words: Impulsive control Switched systems Optimization Linear quadratic Maximum principal