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Basis property of a Rayleigh beam with boundary stabilization
Guo, BZ
2002-03-01
Source PublicationJOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN0022-3239
Volume112Issue:3Pages:529-547
AbstractA Rayleigh beam equation with boundary stabilization control is considered. Using an abstract result on the Riesz basis generation of discrete operators in Hilbert spaces, we show that the closed-loop system is a Riesz spectral system; that is, there is a sequence of generalized eigenfunctions of the system, which forms a Riesz basis in the state Hilbert space. The spectrum-determined growth condition, distribution of eigenvalues, as well as stability of the system are developed, This paper generalizes the results in Ref. 1.
KeywordRayleigh beam Riesz basis spectrum-determined growth condition stability
Language英语
WOS Research AreaOperations Research & Management Science ; Mathematics
WOS SubjectOperations Research & Management Science ; Mathematics, Applied
WOS IDWOS:000174907600004
PublisherKLUWER ACADEMIC/PLENUM PUBL
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17208
Collection中国科学院数学与系统科学研究院
AffiliationAcad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Guo, BZ. Basis property of a Rayleigh beam with boundary stabilization[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2002,112(3):529-547.
APA Guo, BZ.(2002).Basis property of a Rayleigh beam with boundary stabilization.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,112(3),529-547.
MLA Guo, BZ."Basis property of a Rayleigh beam with boundary stabilization".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 112.3(2002):529-547.
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