CSpace  > 系统科学研究所
Optimal actuator location of minimum norm controls for heat equation with general controlled domain
Guo, Bao-Zhu1,2,3; Xu, Yashan4; Yang, Dong-Hui5,6
2016-09-15
发表期刊JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
卷号261期号:6页码:3588-3614
摘要In this paper, we study optimal actuator location of the minimum norm controls for a multi-dimensional heat equation with control defined in the space L-2(Omega x (0, T)). The actuator domain is time-varying in the sense that it is only required to have a prescribed Lebesgue measure for any moment. We select an optimal actuator location so that the optimal control takes its minimal norm over all possible actuator domains. We build a framework of finding the Nash equilibrium so that we can develop a sufficient and necessary condition to characterize the optimal relaxed solutions for both actuator location and corresponding optimal control of the open -loop system. The existence and uniqueness of the optimal classical solutions are therefore concluded. As a result, we synthesize both optimal actuator location and corresponding optimal control into a time-varying feedbacks. (C) 2016 Elsevier Inc. All rights reserved.
关键词Heat equation Optimal control Optimal location Game theory Nash equilibrium
DOI10.1016/j.jde.2016.05.037
语种英语
资助项目National Natural Science Foundation of China[11371375] ; National Natural Science Foundation of China[11471080] ; National Natural Science Foundation of China[11371095] ; China Postdoctoral Science Foundation ; Central South University Postdoctoral Science Foundation ; National Research Foundation of South Africa
WOS研究方向Mathematics
WOS类目Mathematics
WOS记录号WOS:000381062700022
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/23464
专题系统科学研究所
通讯作者Xu, Yashan
作者单位1.Shanxi Univ, Sch Math, Taiyuan 030006, Peoples R China
2.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Witwatersrand, Sch Comp Sci & Appl Math, ZA-2050 Johannesburg, South Africa
4.Fudan Univ, Sch Math Sci, KLMNS, Shanghai 200433, Peoples R China
5.Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China
6.Cent S Univ, Sch Informat Sci & Engn, Changsha 410075, Hunan, Peoples R China
推荐引用方式
GB/T 7714
Guo, Bao-Zhu,Xu, Yashan,Yang, Dong-Hui. Optimal actuator location of minimum norm controls for heat equation with general controlled domain[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2016,261(6):3588-3614.
APA Guo, Bao-Zhu,Xu, Yashan,&Yang, Dong-Hui.(2016).Optimal actuator location of minimum norm controls for heat equation with general controlled domain.JOURNAL OF DIFFERENTIAL EQUATIONS,261(6),3588-3614.
MLA Guo, Bao-Zhu,et al."Optimal actuator location of minimum norm controls for heat equation with general controlled domain".JOURNAL OF DIFFERENTIAL EQUATIONS 261.6(2016):3588-3614.
条目包含的文件
条目无相关文件。
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[Guo, Bao-Zhu]的文章
[Xu, Yashan]的文章
[Yang, Dong-Hui]的文章
百度学术
百度学术中相似的文章
[Guo, Bao-Zhu]的文章
[Xu, Yashan]的文章
[Yang, Dong-Hui]的文章
必应学术
必应学术中相似的文章
[Guo, Bao-Zhu]的文章
[Xu, Yashan]的文章
[Yang, Dong-Hui]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。