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 373
Feedback stabilization for a class of non-homogenous bilinear time-delay systems of neutral type
Atmane El Houch
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2316
April 15, 2316

Abstract: In this paper, we consider the question of feedback stabilization for a class of non-homogenous bilinear time-delay systems of neutral type, evolving on a real Hilbert state space. Then, we provide necessary and sufficient conditions for weak and strong stabilization via bounded feedback control. In the case of strong stabilization, an explicit decay rate estimate is established. Furthermore, we consider the decomposition of the state space via the spectral properties of the systems to discuss the exponential stabilization. Finally, applications to hyperbolic and parabolic functional ...