Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 189-210 |
| Number of pages | 22 |
| Journal | Journal of Dynamical and Control Systems |
| Volume | 16 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 2010 |
Bibliographical note
Funding Information:port provided by King Fahd University of Petroleum and Minerals under the grant Number IN080417.
Keywords
- Exponential stabilization
- Memory term
- Relaxation function
- Thermo-viscoelastic damping
- Timoshenko system
ASJC Scopus subject areas
- Control and Systems Engineering
- Algebra and Number Theory
- Numerical Analysis
- Control and Optimization
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