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A CLASS OF STATIONARY MODELS OF SINGULAR STOCHASTIC CONTROL
引用本文:刘坤会,秦明达,陆传赉. A CLASS OF STATIONARY MODELS OF SINGULAR STOCHASTIC CONTROL[J]. 数学物理学报(B辑英文版), 2004, 24(1): 139-150. DOI: 10.1016/S0252-9602(17)30369-7
作者姓名:刘坤会  秦明达  陆传赉
作者单位:[1]CollegeofScience,NorthernJiaotongUninersity,Beijing100044,China [2]DepartmentofMathematics&Mechanics,BeijingUniversityofScience&Technology,Beijing100083,China [3]DepartmentofInformationEngineering,BeijingUniversityofPosts&Telecom,Beijing100876,China
基金项目:Supported by the National Science Foundation of China.
摘    要:A class of stationary models of singular stochastic control has been studied,in which the state is extended to solution of a class of S.D.E. from Wiener process. The existence of optimal control has been proved in all cases under some weaker conditions,and the structure of optimal control may be characterized.

关 键 词:奇异积分控制 Wiener过程 存在性 最优控制
收稿时间:2001-07-06

A CLASS OF STATIONARY MODELS OF SINGULAR STOCHASTIC CONTROL
Liu Kunhui College of Science,Northern Jiaotong University,Beijing ,ChinaQin Mingda. A CLASS OF STATIONARY MODELS OF SINGULAR STOCHASTIC CONTROL[J]. Acta Mathematica Scientia, 2004, 24(1): 139-150. DOI: 10.1016/S0252-9602(17)30369-7
Authors:Liu Kunhui College of Science  Northern Jiaotong University  Beijing   ChinaQin Mingda
Affiliation:Liu Kunhui College of Science,Northern Jiaotong University,Beijing 100044,ChinaQin Mingda Department of Mathematics & Mechanics,Beijing University of Science & Technology,Beijing 100083,ChinaLu Chuanlai Department of Information Engineering,Beijing University of Posts & Telecom,Beijing 100876,China
Abstract:A class of stationary models of singular stochastic control has been studied, in which the state is extended to solution of a class of S.D.E. from Wiener process. The existence of optimal control has been proved in all cases under some weaker conditions, and the structure of optimal control may be characterized.
Keywords:Singular stochastic control   stationary model   stochastic differential equation   variational equation system
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