Stabilization of high eigenfrequencies of a beam equation with generalized viscous damping

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	Stabilization of high eigenfrequencies of a beam equation with generalized viscous damping
	Li, SJ ; Yu, JY ; Liang, ZD ; Zhu, GT
	1999
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	37 期号:6 页码:1767-1779
摘要	In this paper, using the one-dimensional vibrating beam equation with generalized viscous damping as a model of vibration of flexible robot arms, it is shown that for such a system the high eigenmodes decay at a uniform rate. The proof is obtained by perturbation theory of linear operators [Y. H. Luo, Acta Math. Sinica, 32 (1991), pp. 556-563] and asymptotic estimates of eigenvectors based on an earlier work of G. B. Birkhoff and M. H. Stone. Feedback control for this class of system is investigated, and a finite-dimensional controller is presented for an exponentially stable closed-loop system. Our method may be used to study nondissipative systems.
关键词	generalized viscous damping eigenfrequencies feedback control exponential decay
语种	英语
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000083607900007
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14238
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.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, SJ,Yu, JY,Liang, ZD,et al. Stabilization of high eigenfrequencies of a beam equation with generalized viscous damping[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,1999,37(6):1767-1779.
APA	Li, SJ,Yu, JY,Liang, ZD,&Zhu, GT.(1999).Stabilization of high eigenfrequencies of a beam equation with generalized viscous damping.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,37(6),1767-1779.
MLA	Li, SJ,et al."Stabilization of high eigenfrequencies of a beam equation with generalized viscous damping".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 37.6(1999):1767-1779.