Stabilization of KdV equation with boundary time-delay feedback and input saturation

Taboye, Ahmat Mahamat; Ennouari, Toufik

doi:10.2478/candc-2024-0018

Abstract

In this paper, we study the question of stabilization of nonlinear Korteweg-de Vries equation with boundary time-delay feedback in presence of saturated source term. Thanks to Banach fixed-point theorem the well-posedness is proved. The exponential stability result is demonstrated, using an appropriate Lyapunov functional.

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Stabilization of KdV equation with boundary time-delay feedback and input saturation

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