On optimal location of diffusion and related optimal control for null controllable heat equation
文献类型：期刊论文
| 作者 | Guo, Bao-Zhu1,2 ; Yang, Dong-Hui3; Zhang, Liang4
|
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2016-01-15 |
| 卷号 | 433期号:2页码:1333-1349 |
| 关键词 | Heat equation Optimal control Shape optimization |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2015.08.023 |
| 英文摘要 | We consider optimal locations of heat diffusion and related optimal control to achieve null controllability for multi-dimensional heat equations. Both time optimal control and norm optimal control problems are considered. The reason behind combining these two problems together is that these two problems are actually equivalent: The energy to be used to drive the system to zero in minimal time interval is actually the minimal energy of driving the system to zero in this minimal time interval and visa versa. We formulate the optimal locations for time optimal control and norm optimal control into two types of shape optimization problems. One is seeking the optimal domain of heat diffusion with a fixed interior actuator domain. This can be considered as a domain perturbation problem in shape optimization. Another is to seek both the optimal locations of the optimal heat diffusion domain and the related optimal actuator domain. The existences of these two types of shape optimization problems over some class of open sets in general RN space have been proved separately. (C) 2015 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11371375] ; National Basic Research Program of China[2011CB808002] ; National Research Foundation of South Africa ; Fundamental Research Funds for the Central Universities |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000362048700034 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20888]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yang, Dong-Hui |
| 作者单位 | 1.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Univ Witwatersrand, Sch Comp Sci & Appl Math, ZA-2050 Johannesburg, South Africa 3.Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China 4.Wuhan Univ Technol, Sch Sci, Wuhan 430070, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, Bao-Zhu,Yang, Dong-Hui,Zhang, Liang. On optimal location of diffusion and related optimal control for null controllable heat equation[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016,433(2):1333-1349. |
| APA | Guo, Bao-Zhu,Yang, Dong-Hui,&Zhang, Liang.(2016).On optimal location of diffusion and related optimal control for null controllable heat equation.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,433(2),1333-1349. |
| MLA | Guo, Bao-Zhu,et al."On optimal location of diffusion and related optimal control for null controllable heat equation".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 433.2(2016):1333-1349. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
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。