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Apr 24, 2017
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Jun 1, 2004
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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).

 

 

Keywords

Wave equation Neumann condition boundary damping control energy function asymptotic behavior.

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References

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