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题名

A linear–quadratic optimal control problem of stochastic differential equations with delay and partial information

作者
通讯作者Zhang,Shuaiqi
发表日期
2021-11-01
DOI
发表期刊
ISSN
0167-6911
EISSN
1872-7956
卷号157
摘要

This paper deals with a linear quadratic partially observed optimal control problem for the state governed by stochastic differential equations with delay. By backward separation method, variational method and filtering technique, a stochastic maximum principle for the optimal control is developed and its feedback representation is obtained. Also, a sufficient condition without the assumption of concavity is presented. At last, two examples are solved explicitly.

关键词
相关链接[Scopus记录]
收录类别
SCI ; EI
语种
英语
学校署名
其他
资助项目
Fundamental Research Funds for the Central Universities, China[2020ZDPYMS01] ; Nature Science Foundation of China[11501129,12171086] ; Youth Foundation of Hebei Education Department, China[QN2020273] ; Southern University of Science and Technology, China Start up fund[Y01286120] ; National Natural Science Foundation of China[61873325,11831010] ; National Key R&D Program of China[2018YFB1305400] ; National Natural Science Foundations of China[11831010,11971266,11571205] ; Shandong Provincial Natural Science Foundations, China[
WOS研究方向
Automation & Control Systems ; Operations Research & Management Science
WOS类目
Automation & Control Systems ; Operations Research & Management Science
WOS记录号
WOS:000739164500003
出版者
EI入藏号
20214411091976
EI主题词
Maximum principle ; Optimal control systems ; Quadratic programming ; Stochastic control systems
EI分类号
Control Systems:731.1 ; Systems Science:961
ESI学科分类
ENGINEERING
Scopus记录号
2-s2.0-85117904310
来源库
Scopus
引用统计
被引频次[WOS]:10
成果类型期刊论文
条目标识符http://sustech.caswiz.com/handle/2SGJ60CL/254835
专题理学院_数学系
作者单位
1.School of Mathematics,China University of Mining and Technology,Xuzhou,221116,China
2.Department of Mathematics,Southern University of Science and Technology,Shenzhen,518055,China
3.School of Mathematics,Shandong University,Jinan,250100,China
推荐引用方式
GB/T 7714
Zhang,Shuaiqi,Xiong,Jie,Shi,Jingtao. A linear–quadratic optimal control problem of stochastic differential equations with delay and partial information[J]. SYSTEMS & CONTROL LETTERS,2021,157.
APA
Zhang,Shuaiqi,Xiong,Jie,&Shi,Jingtao.(2021).A linear–quadratic optimal control problem of stochastic differential equations with delay and partial information.SYSTEMS & CONTROL LETTERS,157.
MLA
Zhang,Shuaiqi,et al."A linear–quadratic optimal control problem of stochastic differential equations with delay and partial information".SYSTEMS & CONTROL LETTERS 157(2021).
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