Stabilization of vibrating beam with a tip mass controlled by combined feedback forces

CSpace

	Stabilization of vibrating beam with a tip mass controlled by combined feedback forces
	Li, SJ ; Wang, YT ; Liang, ZD ; Yu, JY ; Zhu, GT
	2001-04-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	256 期号:1 页码:13-38
摘要	A flexible structure consisting of a Euler-Bernoulli beam with a tip mass is considered. To stabilize this system we use a boundary control laws: -u(xxx)(l, t) + mu(tt)(l, t) = - alphau(t)(l, t) + betau(xxxt)(l, t) and u(xx)(l, t) = - gammau(xt)(l, t). A sensitivity asymptotic analysis of the system's eigenvalues and eigenfunctions is set up. We prove that all of the generalized eigenfunctions of (2.9) form a Riesz basis of H By a new method, we prove that the operator A generates a C-0 contraction semigroup T(t), t greater than or equal to 0. Furthermore T(t), t greater than or equal to 0, is uniformly exponentially stable and the optimal exponential decay rate can be obtained from the spectrum of the system. (C) 2001 Academic Press.
关键词	beam equation boundary feedback control Riesz basis exponential stabilization optimal exponential decay rate
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000167833300002
出版者	ACADEMIC PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16301
专题	中国科学院数学与系统科学研究院
通讯作者	Li, SJ
作者单位	1.Shanxi Univ, Dept Math, Taiyuan 030006, Peoples R China 2.Inst Informat & Control, Beijing 100037, Peoples R China 3.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, SJ,Wang, YT,Liang, ZD,et al. Stabilization of vibrating beam with a tip mass controlled by combined feedback forces[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2001,256(1):13-38.
APA	Li, SJ,Wang, YT,Liang, ZD,Yu, JY,&Zhu, GT.(2001).Stabilization of vibrating beam with a tip mass controlled by combined feedback forces.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,256(1),13-38.
MLA	Li, SJ,et al."Stabilization of vibrating beam with a tip mass controlled by combined feedback forces".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 256.1(2001):13-38.