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
Source Publication	SYSTEMS & CONTROL LETTERS
ISSN	0167-6911
Volume	58 Issue:7 Pages:491-498
Abstract	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.
Keyword	Nonlinear elastodynamic systems Energy estimate Locally distributed damping
DOI	10.1016/j.sysconle.2009.02.007
Language	英语
Funding Project	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 Research Area	Automation & Control Systems ; Operations Research & Management Science
WOS Subject	Automation & Control Systems ; Operations Research & Management Science
WOS ID	WOS:000266838300004
Publisher	ELSEVIER SCIENCE BV
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/8991
Collection	系统科学研究所
Corresponding Author	Zhang, Zhi-Fei
Affiliation	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
Recommended Citation 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.

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