Theorical and Numerical Analysis of the Rapid Pointwise Stabilization of   Coupled String-Beam Systems
  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. 
Alia Barhoumi and Abdelkader Sa\"idi
math.OC cs.SY math.AP