On the observability inequalities for exact controllability of wave equations with variable coefficients

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	On the observability inequalities for exact controllability of wave equations with variable coefficients
	Yao, PF
	1999-08-10
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	37 期号:5 页码:1568-1599
摘要	This paper deals with boundary exact controllability for the dynamics governed by the wave equation with nonconstant coefficients in the principal part, subject to Dirichlet or Neumann boundary controls. The observability inequalities are established by the Riemannian geometry method under some geometric condition for the Dirichlet problem and for the Neumann problem, respectively. Next, a number of nontrivial examples are presented to verify the observability inequality. In particular, a counterexample is given without boundary exact controllability, where the control is exerted on the whole boundary.
关键词	wave equation exact controllability Riemannian manifold Hessian comparison theorem geometric optics
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:000082399200012
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/14868
专题	中国科学院数学与系统科学研究院
通讯作者	Yao, PF
作者单位	Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yao, PF. On the observability inequalities for exact controllability of wave equations with variable coefficients[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,1999,37(5):1568-1599.
APA	Yao, PF.(1999).On the observability inequalities for exact controllability of wave equations with variable coefficients.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,37(5),1568-1599.
MLA	Yao, PF."On the observability inequalities for exact controllability of wave equations with variable coefficients".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 37.5(1999):1568-1599.