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 494
Strong stabilisation with decay estimate for a class of distributed bilinear time-delay systems of neutral type
Mohamed Erraki, Atmane el houch, Abdelbaki Attioui
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 02, 2022
March 03, 2406
April 15, 2406

Abstract: In this paper, we deal with the problem of feedback stabilisation for a class of dis- tributed bilinear time-delay systems of neutral type, evolving on a Hilbert state space. To achieve this, we propose a continuous and bounded feedback control that guarantees both weak and strong stabilisation. Necessary and sucient conditions for the stabilisation problem are given as well. Moreover, in the case of strong stabiliisation, an explicit decay estimate is established. Finally, applications to hyperbolic and parabolic equations are provided.