EXACT CONTROLLABILITY OF STRUCTURAL ACOUSTIC INTERACTIONS WITH VARIABLE COEFFICIENTS
文献类型：期刊论文
| 作者 | Liu, Yuxiang1; Bin-Mohsin, Bandar2; Hajaiej, Hichem3; Yao, Peng-Fei1 ; Chen, Goong4,5
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| 刊名 | SIAM JOURNAL ON CONTROL AND OPTIMIZATION
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| 出版日期 | 2016 |
| 卷号 | 54期号:4页码:2132-2153 |
| 关键词 | coupled wave equations exact controllability variable coefficients observability inequality Riemannian metric |
| ISSN号 | 0363-0129 |
| DOI | 10.1137/15M1039936 |
| 英文摘要 | This paper studies exact controllability properties of two coupled wave equations with variable coefficients by a Riemannian geometrical approach. One of the PDEs holds on the interior of a bounded open domain Omega in R-m and the other on a piece Gamma(0) of the boundary partial derivative Omega. First, an exact controllability result is established by assuming the existence of an escape vector field with two boundary controls, the first of which is a Neumann control and the second a distributed control for the boundary equation. Moreover, a geometric structure between the boundary and the variable-coefficient principal part is considered in order to implement one control on the boundary segment Gamma(0) only. Concrete examples are given for such geometrical configurations. |
| 资助项目 | National Science Foundation of China[61174083] ; National Science Foundation of China[61573342] ; National Science Foundation of China[61473126] ; Qatar National Research Funds grant National Priority Research Project[9-166-1-031] ; Deanship of Scientific Research, King Saud University, through Research Group[RG-1437-019] |
| WOS研究方向 | Automation & Control Systems ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000385011200014 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24014]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yao, Peng-Fei |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.King Saud Univ, Coll Sci, Dept Math, Riyadh 12372, Saudi Arabia 3.New York Univ Shanghai, Shanghai 200122, Peoples R China 4.Texas A&M Univ, Dept Math, College Stn, TX 77843 USA 5.Texas A&M Univ Qatar, Sci Program, Doha, Qatar |
| 推荐引用方式 GB/T 7714 | Liu, Yuxiang,Bin-Mohsin, Bandar,Hajaiej, Hichem,et al. EXACT CONTROLLABILITY OF STRUCTURAL ACOUSTIC INTERACTIONS WITH VARIABLE COEFFICIENTS[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2016,54(4):2132-2153. |
| APA | Liu, Yuxiang,Bin-Mohsin, Bandar,Hajaiej, Hichem,Yao, Peng-Fei,&Chen, Goong.(2016).EXACT CONTROLLABILITY OF STRUCTURAL ACOUSTIC INTERACTIONS WITH VARIABLE COEFFICIENTS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,54(4),2132-2153. |
| MLA | Liu, Yuxiang,et al."EXACT CONTROLLABILITY OF STRUCTURAL ACOUSTIC INTERACTIONS WITH VARIABLE COEFFICIENTS".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 54.4(2016):2132-2153. |
入库方式： OAI收割
来源：数学与系统科学研究院
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