Theorical and Numerical Analysis of the Rapid Pointwise Stabilization of Coupled String-Beam Systems
Optimization and Control
2011-05-30 v1 Systems and Control
Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1105.4764,
title = {Theorical and Numerical Analysis of the Rapid Pointwise Stabilization of Coupled String-Beam Systems},
author = {Alia Barhoumi and Abdelkader Saïdi},
journal= {arXiv preprint arXiv:1105.4764},
year = {2011}
}
Comments
10 pages, 4 figures