The regularity of the wave equation with partial Dirichlet control and colocated observation

doi:10.1137/040610702

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	The regularity of the wave equation with partial Dirichlet control and colocated observation
	Guo, BZ; Zhang, X
	2005
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	44 期号:5 页码:1598-1613
摘要	In this paper we analyze a multidimensional controlled wave equation on a bounded domain, subject to partial Dirichlet control and colocated observation. By means of a partial Fourier transform, it is shown that the system is well- posed and regular in the sense of D. Salamon and G. Weiss. The corresponding feedthrough operator is found to be the identity operator on the input space.
关键词	wave equation transfer function well-posed and regular system partial Dirichlet control and colocated observation partial Fourier transform
DOI	10.1137/040610702
语种	英语
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000234470600003
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/1343
专题	系统科学研究所
通讯作者	Guo, BZ
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, Johannesburg, South Africa 3.Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China 4.Univ Autonoma Madrid, Fac Ciencias, Dept Matemat, E-28049 Madrid, Spain
推荐引用方式 GB/T 7714	Guo, BZ,Zhang, X. The regularity of the wave equation with partial Dirichlet control and colocated observation[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2005,44(5):1598-1613.
APA	Guo, BZ,&Zhang, X.(2005).The regularity of the wave equation with partial Dirichlet control and colocated observation.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,44(5),1598-1613.
MLA	Guo, BZ,et al."The regularity of the wave equation with partial Dirichlet control and colocated observation".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 44.5(2005):1598-1613.