Exponential decay rate of the energy of a Timoshenko beam with locally distributed feedback

CSpace

	Exponential decay rate of the energy of a Timoshenko beam with locally distributed feedback
	Shi, DH ; Feng, DX
	2002-10-01
发表期刊	ANZIAM JOURNAL
ISSN	1446-1811
卷号	44 页码:205-220
摘要	The problem of the energy exponential decay rate of a Timoshenko beam with locally distributed controls is investigated. Consider the case in which the beam is nonuniform and the two wave speeds are different. Then, using Huang's theorem and Birkhoff's asymptotic expansion method, it is shown that, under some locally distributed controls, the energy exponential decay rate is identical to the supremum of the real part of the spectrum of the closed loop system. Furthermore, explicit asymptotic locations of eigenfrequencies are derived.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000178910800003
出版者	AUSTRALIAN MATHEMATICS PUBL ASSOC 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/17229
专题	中国科学院数学与系统科学研究院
通讯作者	Shi, DH
作者单位	1.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Lab Syst & Control, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Shi, DH,Feng, DX. Exponential decay rate of the energy of a Timoshenko beam with locally distributed feedback[J]. ANZIAM JOURNAL,2002,44:205-220.
APA	Shi, DH,&Feng, DX.(2002).Exponential decay rate of the energy of a Timoshenko beam with locally distributed feedback.ANZIAM JOURNAL,44,205-220.
MLA	Shi, DH,et al."Exponential decay rate of the energy of a Timoshenko beam with locally distributed feedback".ANZIAM JOURNAL 44(2002):205-220.