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

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

2011-05-24

arxiv.org/abs/1105.4764v1

Mathematics

Optimization and Control

10 pages, 4 figures

Scientific paper

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.

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