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.

引用

页码：488 / 499

页数：12

共 50 条

[31] Boundary Feedback Stabilization of Kirchhoff-Type Timoshenko System
Yuhu Wu
Xiaoping Xue
[J]. Journal of Dynamical and Control Systems, 2014, 20 : 523 - 538
[32] Stabilization of the uniform Timoshenko beam by one locally distributed feedback
Wehbe, Ali
Youssef, Wael
[J]. APPLICABLE ANALYSIS, 2009, 88 (07) : 1067 - 1078
[33] Exponential Stabilization for Timoshenko Beam with Distributed Delay in the Boundary Control
Liu, Xiu Fang
Xu, Gen Qi
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[34] BOUNDARY STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM WITH ROTOR INERTIA AT THE TIP
CHEN Zhenguo YAN Qingxu LI Zhaoqi (Information Engineering School
[J]. Journal of Systems Science & Complexity, 2004, (02) : 176 - 187
[35] Stabilization of Timoshenko beam
Soufyane, A
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 328 (08): : 731 - 734
[36] BOUNDARY STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM WITH ROTOR INERTIA AT THE TIP
CHEN Zhenguo YAN Qingxu LI Zhaoqi Information Engineering School China Geosciences University Beijing China
[J]. JournalofSystemsScienceandComplexity., 2004, (02) - 187
[37] Exponential stabilization for Timoshenko beam with different delays in the boundary control
Liu, Xiu Fang
Xu, Gen Qi
[J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2017, 34 (01) : 93 - 110
[38] An exact frequency equation in closed form for Timoshenko beam clampled at both ends
Kang, Jae-Hoon
[J]. JOURNAL OF SOUND AND VIBRATION, 2014, 333 (14) : 3332 - 3337
[39] The Riesz basis property of a Timoshenko beam with boundary feedback and application
Xu, GQ
Feng, DX
[J]. IMA JOURNAL OF APPLIED MATHEMATICS, 2002, 67 (04) : 357 - 370
[40] Boundary feedback stabilization of nonlinear beam models
Hegarty, Gareth
Taylor, Stephen
[J]. Control Methods in PDE-Dynamical Systems, 2007, 426 : 243 - 253

← 1 2 3 4 5 →