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 519
Feedback stabilization of non-homogeneous bilinear systems with a finite time delay
Rachid El Ayadi, Zakaria Hamidi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 13, 2022
March 03, 2422
April 15, 2422

Abstract: This paper investigates the feedback stabilization of non-homogeneous delayed bilinear systems evolving in Hilbert state space. More precisely, under an observability-like assumption, we prove the exponential and strong stability of the solution by using bounded feedback control. Partial stabilization is discussed as well. The proof of the main results is based on the decomposition method. The decay estimates of the corresponding solution are obtained. Finally, some examples are presented.