Existence and Exponential Stability for a Thermoviscoelastic Equation with Boundary Output Feedback Control

In this paper, we consider a thermoviscoelastic equation which has one end fixed and output feedback control at the other end. We prove the existence of solutions using the Galerkin method and then investigate the exponential stability of solutions by using multiplier technique.

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Bibliographic Details
Published inKyungpook mathematical journal Vol. 56; no. 2; pp. 517 - 527
Main Author Kang, Yong Han
Format Journal Article
LanguageKorean
Published 2016
Subjects
thermoviscoelasticity
output feedback control
decay estimates
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Summary:In this paper, we consider a thermoviscoelastic equation which has one end fixed and output feedback control at the other end. We prove the existence of solutions using the Galerkin method and then investigate the exponential stability of solutions by using multiplier technique.
Bibliography:KISTI1.1003/JNL.JAKO201624238397751
ISSN:1225-6951
0454-8124