KMS Of Academy of mathematics and systems sciences, CAS
| Boundary controllability of structural acoustic systems with variable coefficients and curved walls | |
Yang, Fengyan1,2; Yao, Pengfei1,2 ; Chen, Goong3,4
| |
| 2018-03-01 | |
| Source Publication | MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS
 |
| ISSN | 0932-4194 |
| Volume | 30Issue:1Pages:28 |
| Abstract | This paper studies a structural acoustic model consisting of an interior acoustic wave equation with variable coefficients and a coupled Kirchhoff plate equation with a curved middle surface. By the Riemannian geometry approach and the multiplier technique, we establish exact controllability of the hybrid system under verifiable assumptions on the geometry of the interior domain and the interface boundary with two controls: One is a Neumann boundary control exerted on the wave equation, and the other acts on the interior of the plate equation. Furthermore, if the control for the plate equation is active alone, we prove that the hybrid system with partial Robin boundary condition of the wave equation is exactly controllable with the plate component and approximately controllable with the wave component. |
| Keyword | Boundary controllability Structural acoustics model Variable coefficients Curved walls Riemannian geometry Multiplier method |
| DOI | 10.1007/s00498-018-0211-7 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation (NNSF) of China[61473126] ; National Natural Science Foundation (NNSF) of China[61573342] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011] ; Qatar National Research Funds Grant[NPRP 9-166-1-031] |
| WOS Research Area | Automation & Control Systems ; Engineering ; Mathematics |
| WOS Subject | Automation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000429182500003 |
| Publisher | SPRINGER LONDON LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/30114 |
| Collection | 系统科学研究所 |
| Corresponding Author | Yao, Pengfei |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Texas A&M Univ, Dept Math, College Stn, TX 77843 USA 4.Texas A&I Univ Qatar, Sci Program, Doha, Qatar |
| Recommended Citation GB/T 7714 | Yang, Fengyan,Yao, Pengfei,Chen, Goong. Boundary controllability of structural acoustic systems with variable coefficients and curved walls[J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS,2018,30(1):28. |
| APA | Yang, Fengyan,Yao, Pengfei,&Chen, Goong.(2018).Boundary controllability of structural acoustic systems with variable coefficients and curved walls.MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS,30(1),28. |
| MLA | Yang, Fengyan,et al."Boundary controllability of structural acoustic systems with variable coefficients and curved walls".MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS 30.1(2018):28. |
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