Boundary controllability for the quasi-linear wave equations coupled in parallel

doi:10.1016/j.na.2011.03.055

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	Boundary controllability for the quasi-linear wave equations coupled in parallel
	Deng, Li 1; Rao, Bopeng 2; Yao, Peng-Fei3
	2011-08-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	74 期号:12 页码:4203-4222
摘要	We study the boundary exact controllability for a system of two quasi-linear wave equations coupled in parallel with springs and viscous terms. We prove the locally exact controllability around superposition equilibria under some checkable geometrical conditions. We then establish the globally exact controllability in such a way that the state of the coupled quasi-linear system moves from a superposition equilibrium in one location to a superposition equilibrium in another location. Our results show that exact controllability is geometrical characters of a Riemannian metric, given by the coefficients and superposition equilibria of the system. (C) 2011 Elsevier Ltd. All rights reserved.
关键词	Coupled quasi-linear wave equations Exact controllability Riemannian metric
DOI	10.1016/j.na.2011.03.055
语种	英语
资助项目	National Science Foundation of China[60821091] ; National Science Foundation of China[60334040] ; National Science Foundation of China[60221301] ; National Science Foundation of China[60774025] ; National Science Foundation of China[10831007] ; National Science Foundation of China[YB20098000101]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000290308300029
出版者	PERGAMON-ELSEVIER SCIENCE 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/11665
专题	系统科学研究所
通讯作者	Deng, Li
作者单位	1.SW Jiaotong Univ, Inst Math, Chengdu 610031, Peoples R China 2.Univ Strasbourg, Inst Rech Math Avancee, F-67084 Strasbourg, France 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Control & Syst, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Deng, Li,Rao, Bopeng,Yao, Peng-Fei. Boundary controllability for the quasi-linear wave equations coupled in parallel[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2011,74(12):4203-4222.
APA	Deng, Li,Rao, Bopeng,&Yao, Peng-Fei.(2011).Boundary controllability for the quasi-linear wave equations coupled in parallel.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,74(12),4203-4222.
MLA	Deng, Li,et al."Boundary controllability for the quasi-linear wave equations coupled in parallel".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 74.12(2011):4203-4222.