A New Approach to the Stabilization of the Wave Equation with Boundary Damping Control

Authors

Boumediène Chentouf, Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Al Khod 123, Muscat, Sultanate of Oman
Mohamed S. Boudellioua, Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Al Khod 123, Muscat, Sultanate of Oman

Abstract

This paper deals with boundary feedback stabilization of a system, which consists of a wave equation in a bounded domain of , with Neumann boundary conditions. To stabilize the system, we propose a boundary feedback law involving only a damping term. Then using a new energy function, we show that the solutions of the system asymptotically converge to a stationary position, which depends on the initial data. Similar results were announced without proof in (Chentouf and Boudellioua, 2004).

Recommended Citation

Chentouf, Boumediène and Boudellioua, Mohamed S. (2004) A New Approach to the Stabilization of the Wave Equation with Boundary Damping Control, Sultan Qaboos University Journal For Science: Vol. 9: Iss. 1, 33-40.
DOI: https://doi.org/10.24200/squjs.vol9iss0pp33-40
Available at: https://squjs.squ.edu.om/squjs/vol9/iss1/4