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International Conference: 2004 - Dynamical Systems and Applications
July 5-10, 2004

Antalya, Turkey

Organizers
Akca Haydar, Basem S. Attili, Boucherif Abdelkader, Cho Yeol Je, Covachev Valery, Gyori Istvan, Maksimov Vyacheslav, Stavroulakis Ioannis P.

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A note on Neumann-boundary stabilization of the wave equation with damping control
by
Boumediene Chentouf
Department of Maths and Stats, Sultan Qaboos university, P.O. Box 36, Muscat 123, Sultanate of Oman
Coauthors: Mohamed S. Boudellioua

This note deals with boundary feedback stabilization of a system which consists of a wave equation in a bounded domain of R n and with Neumann boundary conditions. To stabilize the system, we propose a boundary feedback law involving only a damping term. Then using a new method, asymptotic convergence to a stationary position, which depends on the initial data, is proved for the solutions of the system. The key tool of the method presented in this paper is the introduction of a new energy function.

Date received: February 27, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # canu-03.