Exponential stabilization of solutions for the 1-d transmission wave equation with boundary feedback

Authors : Medjahed DJİLALİ, Ali HAKEM

Pages : 217-223

Doi:10.31197/atnaa.418379

View : 10 | Download : 5

Publication Date : 2018-12-24

Article Type : Research Paper

Abstract :The purpose of this work is to study the exponential decay of the energy for the one-dimensional transmission wave equation with a boundary velocity feedback. Thanks to the perturbed energy method developed by some authors in several contexts, and under certain conditions, we prove that the feedback controller exponentially stabilizes the equilibrium to zero of the system below, i.e. the feedback leads to faster energy decay.
Keywords : Boundary feedback, decay rate of energy, exponential stabilization, perturbed energy