The Bang-Bang Property of Time-Varying Optimal Time Control for Null Controllable Heat Equation

doi:10.1007/s10957-019-01510-1

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	The Bang-Bang Property of Time-Varying Optimal Time Control for Null Controllable Heat Equation
	Yang, Dong-Hui 3; Guo, Bao-Zhu2,4,5 ; Gui, Weihua 1; Yang, Chunhua 1
刊名	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
	2019-08-01
卷号	182 期号:2 页码:588-605
关键词	Heat equation Bang-bang property Optimal time control Optimal norm control
ISSN号	0022-3239
DOI	10.1007/s10957-019-01510-1
英文摘要	In this paper, we consider bang-bang property for a kind of time-varying time optimal control problem of null controllable heat equation. The study is a continuation of a recent work (Chen et al. in Syst Control Lett 112:18-23, 2018), where an approximate null controllable heat equation was considered. We first establish the equivalence between optimal norm control and optimal time control and then prove the existence of the optimal norm control and of the optimal time control. The time-varying bang-bang property for the optimal time control is finally established.
资助项目	National Natural Science Foundation of China ; Department of Education of Guangdong Province[2017KZDXM087]
WOS研究方向	Operations Research & Management Science ; Mathematics
语种	英语
出版者	SPRINGER/PLENUM PUBLISHERS
WOS记录号	WOS:000472215200008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/35007]
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Hunan, Peoples R China 2.Foshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China 3.Cent S Univ, Sch Informat Sci & Engn, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China 4.North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China 5.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Yang, Dong-Hui,Guo, Bao-Zhu,Gui, Weihua,et al. The Bang-Bang Property of Time-Varying Optimal Time Control for Null Controllable Heat Equation[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2019,182(2):588-605.
APA	Yang, Dong-Hui,Guo, Bao-Zhu,Gui, Weihua,&Yang, Chunhua.(2019).The Bang-Bang Property of Time-Varying Optimal Time Control for Null Controllable Heat Equation.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,182(2),588-605.
MLA	Yang, Dong-Hui,et al."The Bang-Bang Property of Time-Varying Optimal Time Control for Null Controllable Heat Equation".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 182.2(2019):588-605.