The Riesz basis property of a Timoshenko beam with boundary feedback and application

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	The Riesz basis property of a Timoshenko beam with boundary feedback and application
	Xu, GQ ; Feng, DX
	2002-08-01
发表期刊	IMA JOURNAL OF APPLIED MATHEMATICS
ISSN	0272-4960
卷号	67 期号:4 页码:357-370
摘要	The Riesz basis property of the generalized eigenvector system of a Timoshenko beam with boundary feedback is studied. Firstly, two auxiliary operators are introduced, and the Riesz basis property of their eigenvector systems is proved. This property is used to show that the generalized eigenvector system of a Timoshenko beam with some linear boundary feedback forms a Riesz basis in the corresponding state space. Finally, it is concluded that the closed loop system exhibits exponential stability.
关键词	Timoshenko beam boundary feedback generalized eigenvector system Riesz basis
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000177767300002
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17349
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, GQ
作者单位	1.Shanxi Univ, Dept Math, TaiYuan 030006, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, GQ,Feng, DX. The Riesz basis property of a Timoshenko beam with boundary feedback and application[J]. IMA JOURNAL OF APPLIED MATHEMATICS,2002,67(4):357-370.
APA	Xu, GQ,&Feng, DX.(2002).The Riesz basis property of a Timoshenko beam with boundary feedback and application.IMA JOURNAL OF APPLIED MATHEMATICS,67(4),357-370.
MLA	Xu, GQ,et al."The Riesz basis property of a Timoshenko beam with boundary feedback and application".IMA JOURNAL OF APPLIED MATHEMATICS 67.4(2002):357-370.