Polynomial and Analytic Boundary Feedback Stabilization of Square Plate - doi: 10.5269/bspm.v27i2.10207
DOI:
https://doi.org/10.5269/bspm.v27i2.10207Keywords:
Plate equation, polynomial stabilization, analytic stabilization, observability inequality, low and high frequency.Abstract
We consider a boundary feedback stabilization problem of the plate equation in a square, in the case where the geometric condition of Ammari-Tucsnak [6] is not satisfied. We prove a polynomial decay for regular initial data. Moreover, we prove an exponential stability result for some subspace of the energy space.Finally, we give a precise estimate on the analyticity of reachable functions where we have an exponential stability.
Downloads
Published
2010-05-19
Issue
Section
Research Articles
License
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
