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We consider a pointwise stabilization problem for a coupled wave and plateequations. We prove under rather general assumptions, that such systems canstabilized so as to have arbitrarily high decay rates and are exactlycontrollable. We propose a numerical approximation of the model and we studynumerically the construction of the feedbak law leading to exponential decaywith arbtrarily large rate.

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