Control and stabilization for the wave equation with variable coefficients in domains with moving boundary

doi:10.1016/j.sysconle.2015.04.003

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	Control and stabilization for the wave equation with variable coefficients in domains with moving boundary
	Lu, Liqing 1; Li, Shengjia 1; Chen, Goong 2,3; Yao, Pengfei4
	2015-06-01
发表期刊	SYSTEMS & CONTROL LETTERS
ISSN	0167-6911
卷号	80 页码:30-41
摘要	The study of stabilization and control for PDEs with variable coefficients involves higher level of complexity than the corresponding case of constant coefficients. Further compounding the complexity are the concern and effects of dynamic boundary motion. The problem in its general form is extremely challenging to treat, but under certain specific physical and geometric conditions, such as the timel-likeness of the boundary and a limited speed of domain expansion, energy decay estimates can be established and the exact controllability can also be obtained by control-theoretic and Riemannian-geometric methods. Our approach here is based on the Bochner technique of differential geometry in terms of Riemannian metric and geometric multipliers, by generalizing an energy identity method used earlier in Bardos and Chen (1981). Concrete examples are also given to illustrate the geometric conditions and the theorems. (C) 2015 Elsevier B.V. All rights reserved.
关键词	Wave equation with variable coefficients Moving boundary Riemannian metric Distance function of a metric
DOI	10.1016/j.sysconle.2015.04.003
语种	英语
资助项目	National Science Foundation of China[61174083] ; National Science Foundation of China[11401351] ; National Science Foundation of China[61104129] ; National Science Foundation of China[61174082] ; National Science Foundation of China[61374089] ; National Science Foundation of China[61473126] ; Shanxi Scholarship Council of China[2011-006] ; Shanxi Scholarship Council of China[2013-013] ; Qatar National Research Funds grant National Priority Research Project (NPRP)[6-1162-1-181]
WOS研究方向	Automation & Control Systems ; Operations Research & Management Science
WOS类目	Automation & Control Systems ; Operations Research & Management Science
WOS记录号	WOS:000356106000005
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19998
专题	系统科学研究所
通讯作者	Yao, Pengfei
作者单位	1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China 2.Texas A&M Univ, Dept Math, College Stn, TX 77843 USA 3.Texas A&M Univ Qatar, Sci Program, Doha, Qatar 4.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	Lu, Liqing,Li, Shengjia,Chen, Goong,et al. Control and stabilization for the wave equation with variable coefficients in domains with moving boundary[J]. SYSTEMS & CONTROL LETTERS,2015,80:30-41.
APA	Lu, Liqing,Li, Shengjia,Chen, Goong,&Yao, Pengfei.(2015).Control and stabilization for the wave equation with variable coefficients in domains with moving boundary.SYSTEMS & CONTROL LETTERS,80,30-41.
MLA	Lu, Liqing,et al."Control and stabilization for the wave equation with variable coefficients in domains with moving boundary".SYSTEMS & CONTROL LETTERS 80(2015):30-41.