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The Riesz basis property of a Timoshenko beam with boundary feedback and application
Xu, GQ; Feng, DX
2002-08-01
Source PublicationIMA JOURNAL OF APPLIED MATHEMATICS
ISSN0272-4960
Volume67Issue:4Pages:357-370
AbstractThe 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.
KeywordTimoshenko beam boundary feedback generalized eigenvector system Riesz basis
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000177767300002
PublisherOXFORD UNIV PRESS
Citation statistics
Cited Times:39[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17349
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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