Exponential stabilization of the Timoshenko system by a thermo-viscoelastic damping

被引：37
|
作者：
Djebabla, A. [1 ]
Tatar, N. [2 ]
机构：
[1] Univ Badji Mokhtar, Lab Appl Math, Dept Math, Annaba 23141, Algeria
[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2010年 / 16卷 / 02期
关键词：
Exponential stabilization; memory term; relaxation function; thermo-viscoelastic damping; Timoshenko system; BOUNDARY FEEDBACK STABILIZATION; UNIFIED PROCEDURE; DEFORMABLE MEDIA; BEAM; CONSTRUCTION; THERMOELASTICITY; PROPERTY; DECAY;
D O I：
10.1007/s10883-010-9089-5
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider the Timoshenko system without any internal or boundary damping. The system is rather complemented by a heat equation of an unusual type. This type of thermal diffusion has been introduced by Green and Naghdi. It produces a dissipation of energy only when supplemented by a certain type of damping. In this work we consider the case of a thermo-viscoelastic damping and prove that it is strong enough to drive the system to the equilibrium state in an exponential manner.
引用
收藏
页码：189 / 210
页数：22
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