The Bang-Bang Property of Time-Varying Optimal Time Control for Null Controllable Heat Equation
文献类型：期刊论文
| 作者 | Yang, Dong-Hui3; Guo, Bao-Zhu2,4,5 ; Gui, Weihua1; Yang, Chunhua1
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| 刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
 |
| 出版日期 | 2019-08-01 |
| 卷号 | 182期号:2页码:588-605 |
| ISSN号 | 0022-3239 |
| 关键词 | Heat equation Bang-bang property Optimal time control Optimal norm control |
| 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 |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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