An exponential stability result for the wave equation

Date
2002
Authors
Morgül, Ö.
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Source Title
Automatica
Print ISSN
0005-1098
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Publisher
Elsevier
Volume
38
Issue
4
Pages
731 - 735
Language
English
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Abstract

We consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize this system, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the proposed controller is a proper rational function which consists of a strictly positive real function and some poles on the imaginary axis. We then show that under some conditions the closed-loop system is exponentially stable. © 2002 Published by Elsevier Ltd.

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