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

doi:10.1016/j.sysconle.2009.02.007

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	Global smooth solutions and stabilization of nonlinear elastodynamic systems with locally distributed dissipation
	Zhang, Zhi-Fei 1,2; Yao, Peng-Fei2
	2009-07-01
发表期刊	SYSTEMS & CONTROL LETTERS
ISSN	0167-6911
卷号	58 期号:7 页码:491-498
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.
关键词	Nonlinear elastodynamic systems Energy estimate Locally distributed damping
DOI	10.1016/j.sysconle.2009.02.007
语种	英语
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
WOS类目	Automation & Control Systems ; Operations Research & Management Science
WOS记录号	WOS:000266838300004
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8991
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.