Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach

doi:10.1051/cocv:2005030

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	Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach
	Wang, JM ; Guo, BZ; Chentouf, B
	2006
发表期刊	ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
ISSN	1262-3377
卷号	12 期号:1 页码:12-34
摘要	In this paper, we consider the boundary stabilization of a sandwich beam which consists of two outer stiff layers and a compliant middle layer. Using Riesz basis approach, we show that there is a sequence of generalized eigenfunctions, which forms a Riesz basis in the state space. As a consequence, the spectrum-determined growth condition as well as the exponential stability of the closed-loop system are concluded. Finally, the well-posedness and regularity in the sense of Salamon-Weiss class as well as the exact controllability are also addressed.
关键词	Riesz basis sandwich beam exponential stability exact controllability
DOI	10.1051/cocv:2005030
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:000233972300002
出版者	EDP SCIENCES S A
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3058
专题	系统科学研究所
通讯作者	Wang, JM
作者单位	1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, South Africa 3.Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 4.Sultan Qaboos Univ, Dept Math & Stat, Muscat, Oman
推荐引用方式 GB/T 7714	Wang, JM,Guo, BZ,Chentouf, B. Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach[J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,2006,12(1):12-34.
APA	Wang, JM,Guo, BZ,&Chentouf, B.(2006).Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,12(1),12-34.
MLA	Wang, JM,et al."Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach".ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 12.1(2006):12-34.