Basis property of a Rayleigh beam with boundary stabilization

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	Basis property of a Rayleigh beam with boundary stabilization
	Guo, BZ
	2002-03-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	112 期号:3 页码:529-547
摘要	A 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.
关键词	Rayleigh beam Riesz basis spectrum-determined growth condition stability
语种	英语
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000174907600004
出版者	KLUWER ACADEMIC/PLENUM PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17208
专题	中国科学院数学与系统科学研究院
通讯作者	Guo, BZ
作者单位	Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing, Peoples R China
推荐引用方式 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.