Boundary controllability of structural acoustic systems with variable coefficients and curved walls

doi:10.1007/s00498-018-0211-7

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	Boundary controllability of structural acoustic systems with variable coefficients and curved walls
	Yang, Fengyan 1,2; Yao, Pengfei1,2 ; Chen, Goong 3,4
	2018-03-01
发表期刊	MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS
ISSN	0932-4194
卷号	30 期号:1 页码:28
摘要	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.
关键词	Boundary controllability Structural acoustics model Variable coefficients Curved walls Riemannian geometry Multiplier method
DOI	10.1007/s00498-018-0211-7
语种	英语
资助项目	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研究方向	Automation & Control Systems ; Engineering ; Mathematics
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000429182500003
出版者	SPRINGER LONDON LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30114
专题	系统科学研究所
通讯作者	Yao, Pengfei
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.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
推荐引用方式 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.