Boundary stabilization for a hybrid system of viscoelasticity

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	Boundary stabilization for a hybrid system of viscoelasticity
	Zhang, Q ; Huang, F
	2003
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	42 期号:5 页码:1643-1660
摘要	In this paper, we study the boundary feedback stabilization of a hybrid system that is composed of a viscoelastic thin plate with one part of its edge clamped and the remaining free part attached to a viscoelastic rigid body. By adopting the frequency domain method, we prove that the boundary feedback controls together with the dissipation induced by the memory effect are strong enough to secure the result of the exponential stability of energy. We also reach the result of the exponential stability of the hybrid system on the domain with corners without any extra hypotheses on the regularity of solutions.
关键词	hybrid system viscoelasticity C-0 contraction semigroup exponential stability nonsmooth domain
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:000188744800007
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/18023
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Q
作者单位	1.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 2.Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Q,Huang, F. Boundary stabilization for a hybrid system of viscoelasticity[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2003,42(5):1643-1660.
APA	Zhang, Q,&Huang, F.(2003).Boundary stabilization for a hybrid system of viscoelasticity.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,42(5),1643-1660.
MLA	Zhang, Q,et al."Boundary stabilization for a hybrid system of viscoelasticity".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 42.5(2003):1643-1660.