Global smooth solutions and exponential stability for a nonlinear beam

doi:10.1137/S0363012903435357

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	Global smooth solutions and exponential stability for a nonlinear beam
	Yao, Peng-Fei; Weiss, George
	2007
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	45 期号:6 页码:1931-1964
摘要	In this paper we consider a dynamical system with boundary input and output describing the bending vibrations of a quasi-linear beam, where the nonlinearity comes from Hooke's law. First we derive an existence result for short-time solutions of the system of equations. Then we show that the structure of the boundary input and output forces the system to admit global solutions at least when the initial data and the boundary input are small in a certain sense. In particular, we prove that the norm of the state of the system decays exponentially if the input becomes zero after a finite time (the input being zero can be understood as a boundary feedback).
关键词	quasi-linear beam exponential stabilization energy-preserving system boundary input and output
DOI	10.1137/S0363012903435357
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:000244631000001
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/5229
专题	系统科学研究所
通讯作者	Yao, Peng-Fei
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Univ London Imperial Coll Sci Technol & Med, Dept Elect & Elect Engn, London SW7 2AZ, England
推荐引用方式 GB/T 7714	Yao, Peng-Fei,Weiss, George. Global smooth solutions and exponential stability for a nonlinear beam[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2007,45(6):1931-1964.
APA	Yao, Peng-Fei,&Weiss, George.(2007).Global smooth solutions and exponential stability for a nonlinear beam.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,45(6),1931-1964.
MLA	Yao, Peng-Fei,et al."Global smooth solutions and exponential stability for a nonlinear beam".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 45.6(2007):1931-1964.