5 papers
On Asymptotic and Finite-Time Stabilization of Bilinear Systems
Mohamed Ouzahra
This manuscript addresses the analysis and design of feedback laws for the stabilization of bilinear control systems in infinite-dimensional spaces. It first examines weak, strong,…
On Finite- and Fixed-Time Stabilization of Abstract Nonlinear Systems with Well-Posedness Guarantees
Kamal Fenza, Moussa Labbadi, Mohamed Ouzahra
This paper addresses the problem of stabilization for infinite-dimensional systems. In particular, we design nonlinear stabilizers for both linear and nonlinear abstract systems. W…
Finite-Time Stabilization of a Class of Nonlinear Systems in Hilbert Space
Kamal Fenza, Moussa Labbadi, Mohamed Ouzahra
This paper deals with the finite-time stabilization of a class of nonlinear infinite-dimensional systems. First, we consider a bounded matched perturbation in its linear form. It i…
Boundary Feedback and Observer Synthesis for a Class of Nonlinear Parabolic--Elliptic PDE Systems
Kamal Fenza, Moussa Labbadi, Mohamed Ouzahra
This paper investigates the stabilization of a coupled system comprising a parabolic PDE and an elliptic PDE with nonlinear terms. A rigorous backstepping design provides an explic…
A Decomposition Method for Finite-Time Stabilization of Bilinear Systems with Applications to Parabolic and Hyperbolic Equations
Kamal Fenza, Moussa Labbadi, Mohamed Ouzahra
In this work, we address the problem of finite-time stabilization for a class of bilinear system. We propose a decomposition-based approach in which the nominal system is split int…