Riesz basis and stabilization for the flexible structure of a symmetric tree-shaped beam network

doi:10.1002/mma.909

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	Riesz basis and stabilization for the flexible structure of a symmetric tree-shaped beam network
	Wang, Jun-Min 1,2; Guo, Bao-Zhu1,3
	2008-02-01
发表期刊	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
卷号	31 期号:3 页码:289-314
摘要	The stabilization of a symmetric tree-shaped network of Euler-Bernoulli beams described by a system of partial differential equations is considered. The boundary controllers are designed based on passivity principle. The eigenfrequencies are analysed in detail and the asymptotic expansion of eigenvalues are presented. It is shown that there is a set of generalized eigenfunctions for the closed-loop system, which forms a Riesz basis with parentheses for the energy state space. This concludes the spectrum-determined growth condition and the exponential stability of the closed-loop system. Copyright (C) 2007 John Wiley & Sons, Ltd.
关键词	beam network collocated control spectral analysis exponential stability
DOI	10.1002/mma.909
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000252525700003
出版者	JOHN WILEY & SONS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6684
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, South Africa 2.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, Jun-Min,Guo, Bao-Zhu. Riesz basis and stabilization for the flexible structure of a symmetric tree-shaped beam network[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2008,31(3):289-314.
APA	Wang, Jun-Min,&Guo, Bao-Zhu.(2008).Riesz basis and stabilization for the flexible structure of a symmetric tree-shaped beam network.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,31(3),289-314.
MLA	Wang, Jun-Min,et al."Riesz basis and stabilization for the flexible structure of a symmetric tree-shaped beam network".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 31.3(2008):289-314.