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 1; Guo, Bao-Zhu2,3,4 ; Gui, Weihua 5; Yang, Chunhua 5
	2019-08-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	182 期号:2 页码:588-605
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.
关键词	Heat equation Bang-bang property Optimal time control Optimal norm control
DOI	10.1007/s10957-019-01510-1
语种	英语
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
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000472215200008
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35008
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, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China 2.North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China 4.Foshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China 5.Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Hunan, 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.