Stabilization of an elastic plate with viscoelastic boundary conditions

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	Stabilization of an elastic plate with viscoelastic boundary conditions
	Zhang, Q; Guo, BZ
	2004-09-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	122 期号:3 页码:669-690
摘要	The boundary control problem of an elastic thin plate with boundary viscoelasticity is formulated in the standard form of a linear infinite-dimensional system in the energy Hilbert space. The feedback control is designed so that the input and output are collocated. The frequency-domain approach is adopted in investigating the exponential stability of the closed-loop system. Finally, by considering the boundary viscoelasticity as damping, we establish a strong stability result based on the LaSalle invariance principle and the Homander uniqueness theorem.
关键词	elastic plate boundary control viscoelasticity semi-group stability
语种	英语
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000224061600011
出版者	KLUWER ACADEMIC/PLENUM PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/795
专题	中国科学院数学与系统科学研究院
作者单位	Acad Sinica, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Q,Guo, BZ. Stabilization of an elastic plate with viscoelastic boundary conditions[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2004,122(3):669-690.
APA	Zhang, Q,&Guo, BZ.(2004).Stabilization of an elastic plate with viscoelastic boundary conditions.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,122(3),669-690.
MLA	Zhang, Q,et al."Stabilization of an elastic plate with viscoelastic boundary conditions".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 122.3(2004):669-690.