Research Communication | Open Access
Volume 2021 | Communication ID 40
Boundary Feedback Stabilization of an Euler-Bernoulli Beam
Segaoui M'Hamed, Aouragh My Driss, Khallouq Samir
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 22, 2021
February 15, 2021
March 15, 2021

Abstract: In this work, we study the stabilization of an Euler-Bernoulli vibrating systems by boundary feedback control. By using the semigroup theory, we prove the well possedness of the system. The asymptotic expression of the spectrum and the lack of the exponential stability are obtained. Additionally, we prove that the semigroup associated with this model decays polynomially. Simulation results verify the efficiency of the suggested control.