A compact perturbation method for the boundary stabilization of the Rayleigh beam equation期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A compact perturbation method for the boundary stabilization of the Rayleigh beam equation

Authors:	B. Rao

Affiliation:	(1) Département de Mathématiques, Université de Nancy I, U. R. A. CNRS 750, Projet Numath, INRIA Lorraine, B.P. 239, 54506 Vanduvre-lès-Nancy, France;(2) Present address: Institut de Recherche Mathématique Avancée, Université Louis Pasteur et Centre National de la Recherche Scientifique, 7 Rue René Descartes, 67084 Strasbourg Cedex, France

Abstract:	We prove that the Rayleigh beam equation can be uniformly exponentially stabilized by only one control moment. We also prove the strong asymptotic stabilization and the lack of uniform exponential stabilization in the case of only one control force.

Keywords:	Boundary stabilization Compact perturbation Lack of uniform stabilization Uniform decay rate of energy
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