Theorical and Numerical Analysis of the Rapid Pointwise Stabilization of Coupled String-Beam Systems

2011/05/24 by Alia Barhoumi, Barhoumi, Alia, Abdelkader Saïdi +1
Engineering · Mathematics · #Stability and Controllability of Differential Equations #Advanced Mathematical Physics Problems #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1105.4764

Abstract

We consider a pointwise stabilization problem for a coupled wave and plate equations. We prove under rather general assumptions, that such systems can stabilized so as to have arbitrarily high decay rates and are exactly controllable. We propose a numerical approximation of the model and we study numerically the construction of the feedbak law leading to exponential decay with arbtrarily large rate.

Citations

• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions

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