EXACT CONTROLLABILITY OF STRUCTURAL ACOUSTIC INTERACTIONS WITH VARIABLE COEFFICIENTS

doi:10.1137/15M1039936

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	EXACT CONTROLLABILITY OF STRUCTURAL ACOUSTIC INTERACTIONS WITH VARIABLE COEFFICIENTS
	Liu, Yuxiang 1; Bin-Mohsin, Bandar 2; Hajaiej, Hichem 3; Yao, Peng-Fei1 ; Chen, Goong 4,5
	2016
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	54 期号:4 页码:2132-2153
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.
关键词	coupled wave equations exact controllability variable coefficients observability inequality Riemannian metric
DOI	10.1137/15M1039936
语种	英语
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
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000385011200014
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24015
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.