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TIME OPTIMAL IMPLUSE CONTROL PROBLEMS
作者姓名:Xu  Zongyun
作者单位:Fudan University,
摘    要:TIME OPTIMAL IMPLUSE CONTROL PROBLEMSTIMEOPTIMALIMPLUSECONTROLPROBLEMS¥XuZongyun(FudanUniversity,)Abstract:Inthispaper,aclass...


TIME OPTIMAL IMPLUSE CONTROL PROBLEMS
Xu Zongyun.TIME OPTIMAL IMPLUSE CONTROL PROBLEMS[J].微分方程年刊(英文版),1995(4).
Authors:Xu Zongyun
Abstract:In this paper, a class of time optimal problem with impluse control is considered. Under certain conditions we prove that the optimal impluse control exists and its impluse number is finite. Moreover, it is proved that the minimum time function is locally Lipschitz continuous in its domain and is the unique viscosity solution of the corresponding Hamilton-Jacobi-Bellman system.
Keywords:time optimal  impluse control  viscosity solution  HJB equation
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