Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 344
Weak and exponential stabilization of perturbed semilinear systems
Abdelkader Daouia, Yassine Benslimane, Abdelbaki Attioui
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 30, 2022
March 03, 2295
April 15, 2295

Abstract: The goal of this paper is to study stabilization of infinite dimensional semilinear systems evolving under external perturbation given by nonlinear operator. We give sufficient conditions, to ensure exponential and weak stabilization of such systems. Then we characterize stabilizing controls, that stabilizes the state, and minimizes a given performance cost. . The obtained results are illustrated by simulations in the case of one-dimensional.