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Global smooth solutions and stabilization of nonlinear elastodynamic systems with locally distributed dissipation

文献类型：期刊论文

作者Zhang, Zhi-Fei1,2; Yao, Peng-Fei2
刊名SYSTEMS & CONTROL LETTERS
出版日期2009-07-01
卷号58期号:7页码:491-498
关键词Nonlinear elastodynamic systems Energy estimate Locally distributed damping
ISSN号0167-6911
DOI10.1016/j.sysconle.2009.02.007
英文摘要We consider the existence of global solutions of the nonlinear elastodynamic system with a locally distributed damping in a bounded domain. We assume that the energy function satisfies the strong ellipticity condition at the zero equilibrium. The local dissipation is in the form a(x)(u) over dot where the nonnegative function a(x) is only positive on a small portion of the domain. We show the existence of global smooth solutions when initial data are small. In particular, we obtain the exponential decay of the energy, which implies the exponential stabilization of the system by internal feedback. (C) 2009 Elsevier B.V. All rights reserved.
资助项目National Natural Science Foundation of China[60225003] ; National Natural Science Foundation of China[60334040] ; National Natural Science Foundation of China[60221301] ; National Natural Science Foundation of China[60774025]
WOS研究方向Automation & Control Systems ; Operations Research & Management Science
语种英语
WOS记录号WOS:000266838300004
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/8990]  
专题系统科学研究所
通讯作者Zhang, Zhi-Fei
作者单位1.Wuhan Univ, Sch Math, Wuhan 430072, Hubei, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Control & Syst, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714		 Zhang, Zhi-Fei,Yao, Peng-Fei. Global smooth solutions and stabilization of nonlinear elastodynamic systems with locally distributed dissipation[J]. SYSTEMS & CONTROL LETTERS,2009,58(7):491-498.
APA Zhang, Zhi-Fei,&Yao, Peng-Fei.(2009).Global smooth solutions and stabilization of nonlinear elastodynamic systems with locally distributed dissipation.SYSTEMS & CONTROL LETTERS,58(7),491-498.
MLA Zhang, Zhi-Fei,et al."Global smooth solutions and stabilization of nonlinear elastodynamic systems with locally distributed dissipation".SYSTEMS & CONTROL LETTERS 58.7(2009):491-498.

入库方式： OAI收割

来源：数学与系统科学研究院

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