Asymptotic behavior of Timoshenko beam with dissipative boundary feedback

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	Asymptotic behavior of Timoshenko beam with dissipative boundary feedback
	Yan, QY ; Hou, SH ; Feng, DX
	2002-05-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	269 期号:2 页码:556-577
摘要	This paper is concerned with the stabilization problem of Timoshenko beam in the presence of linear dissipative boundary feedback controls. Using C-0-semigroups theory we establish the existence and the uniqueness of solution of the proposed closed loop system. In order to consider the asymptotic behavior of the closed loop system, we first discuss the existence of nonzero solution of a closely related boundary value problem, Then we derive various necessary and sufficient conditions for the system to be asymptotically stable. Finally, we prove the equivalence between the exponential stability and the asymptoic stability for the closed loop system. (C) 2002 Elsevier Science (USA). All rights reserved.
关键词	Timoshenko beam boundary feedback C-0-semigroups asymptotic stability exponential stability
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000176499500012
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17185
专题	中国科学院数学与系统科学研究院
通讯作者	Feng, DX
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Yan, QY,Hou, SH,Feng, DX. Asymptotic behavior of Timoshenko beam with dissipative boundary feedback[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2002,269(2):556-577.
APA	Yan, QY,Hou, SH,&Feng, DX.(2002).Asymptotic behavior of Timoshenko beam with dissipative boundary feedback.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,269(2),556-577.
MLA	Yan, QY,et al."Asymptotic behavior of Timoshenko beam with dissipative boundary feedback".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 269.2(2002):556-577.