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Global smooth solutions and exponential stability for a nonlinear beam

文献类型：期刊论文

作者Yao, Peng-Fei; Weiss, George
刊名SIAM JOURNAL ON CONTROL AND OPTIMIZATION
出版日期2007
卷号45期号:6页码:1931-1964
关键词quasi-linear beam exponential stabilization energy-preserving system boundary input and output
ISSN号0363-0129
DOI10.1137/S0363012903435357
英文摘要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).
WOS研究方向Automation & Control Systems ; Mathematics
语种英语
WOS记录号WOS:000244631000001
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/5228]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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