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Study of optimal control problems for hybrid dynamical systems
作者姓名:Gao Rui  Wang Lei & Wang Yuzhen School of Control Science & Engineering  Shandong Univ.  Jinan  P.R. China
作者单位:Gao Rui,Wang Lei & Wang Yuzhen School of Control Science & Engineering,Shandong Univ.,Jinan 250061,P.R. China
摘    要:1.INTRODUCTIONHybrid dynamical systems(HDS)include two dis-tinct types of systems,i.e.continuous variable dy-namical system(CVDS)and discrete event dynamicalsystem(DEDS),whichinteract witheach other.Butmost of the systemsinreality are not perfect continu-ous systems,and they consist of continuous subsys-tems and a set of discrete events,one of which canchange the continuous state.So we may investigatethis class of systems based ontheframework of HDS.Because of the extensiveness of H…

收稿时间:12 November 2004

Study of optimal control problems for hybrid dynamical systems
Gao Rui,Wang Lei & Wang Yuzhen School of Control Science & Engineering,Shandong Univ.,Jinan ,P.R. China.Study of optimal control problems for hybrid dynamical systems[J].Journal of Systems Engineering and Electronics,2006,17(1):147-155.
Authors:Gao Rui  Wang Lei  Wang Yuzhen
Institution:School of Control Science & Engineering, Shandong Univ., Jinan 250061, P.R. China
Abstract:From the viewpoint of continuous systems, optimal control problem is proposed for a class of controlled Hybrid dynamical systems. Then a mathematical method-HDS minimum principle is put forward, which can solve the above problem. The HDS minimum principle is proved by means of Ekeland's variational principle.
Keywords:HDS  optimal control  minimum principle  Ekeland's variational principle
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