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

Content Provider	Springer Nature Link
Author	Djebabla, A. Tatar, N.
Copyright Year	2010
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.
Ending Page	210
Page Count	22
Starting Page	189
File Format	PDF
ISSN	10792724
e-ISSN	15738698
Journal	Journal of Dynamical and Control Systems
Issue Number	2
Volume Number	16
Language	English
Publisher	Springer US
Publisher Date	2010-05-08
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Linear systems relaxation function Stability thermo-viscoelastic damping Systems Theory, Control Exponential stabilization Timoshenko system Systems governed by partial differential equations Asymptotic stability Vibration, Dynamical Systems, Control memory term Initial-boundary value problems for second-order hyperbolic systems Calculus of Variations and Optimal Control; Optimization Analysis Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Algebra and Number Theory Numerical Analysis

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