On spectrum of a general Petrovsky type equation and Riesz basis of N-connected beams with linear feedback at joints

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	On spectrum of a general Petrovsky type equation and Riesz basis of N-connected beams with linear feedback at joints
	Guo, BZ; Xie, Y ; Hou, XZ
	2004-04-01
Source Publication	JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
ISSN	1079-2724
Volume	10 Issue:2 Pages:187-211
Abstract	A framework of a general type of Petrovsky equation is formulated. The characteristic equation for eigenvalues of the system is derived and the associated eigenfunctions are found. For N-connected beams with linear feedbacks at joint points, the asymptotic expansions of eigenvalues and eigenfunctions are further developed, and the Riesz basis property and the exponential stability are then concluded.
Keyword	Petrovsky type equation C-0-semigroup spectral analysis Riesz basis
Language	英语
WOS Research Area	Automation & Control Systems ; Mathematics
WOS Subject	Automation & Control Systems ; Mathematics, Applied
WOS ID	WOS:000220869600003
Publisher	KLUWER ACADEMIC/PLENUM PUBL
Citation statistics	Cited Times:11[WOS] [WOS Record] [Related Records in WOS]
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/19470
Collection	系统科学研究所
Affiliation	1.Acad Sinica, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Towson Univ, Dept Math, Towson, MD 21252 USA
Recommended Citation GB/T 7714	Guo, BZ,Xie, Y,Hou, XZ. On spectrum of a general Petrovsky type equation and Riesz basis of N-connected beams with linear feedback at joints[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,2004,10(2):187-211.
APA	Guo, BZ,Xie, Y,&Hou, XZ.(2004).On spectrum of a general Petrovsky type equation and Riesz basis of N-connected beams with linear feedback at joints.JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS,10(2),187-211.
MLA	Guo, BZ,et al."On spectrum of a general Petrovsky type equation and Riesz basis of N-connected beams with linear feedback at joints".JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 10.2(2004):187-211.

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