Boundary feedback stabilization of the undamped Timoshenko beam with both ends free

被引：17
|
作者：
Zhang, Chun-Guo [1 ]
机构：
[1] Hangzhou Dianzi Univ, Dept Math, Hangzhou, Zhejiang, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 326卷 / 01期
基金：
中国国家自然科学基金;
关键词：
C-0-semigroup; Timoshenko beam; exponential stability; frequency domain method;
D O I：
10.1016/j.jmaa.2006.01.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a boundary feedback system of a class of nonuniform undamped Timoshenko beam with both ends free. We give some sufficient conditions and some necessary conditions for the system to have exponential stability. Our method is based on the operator semigroup technique, the multiplier technique, and the contradiction argument of the frequency domain method. (c) 2006 Elsevier Inc. All rights reserved.
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页码：488 / 499
页数：12
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