Journal of innovative applied mathematics and computational sciences
Volume 3, Numéro 1, Pages 28-34
2023-06-30

Exponential Stabilization Of A Euler-bernoulli Beam Under Boundary Control

Authors : Lekdim Billal .

Abstract

We study the free vibration of an Euler-Bernoulli beam without internal damping. By applying a suitable control at the free boundary, we can exponentially dampen these vibrations. The result of the exponential stability was proven by the Lyapunov method.

Keywords

Exponential stabilization ; Euler-Bernoulli beam ; boundary control ; Lyapunov method