Professor at Faculty of economics and management, university of Sfax, Tunisiađź“–
Dr. Habib Ayadi is an accomplished mathematician and academic with extensive experience in teaching, research, and departmental leadership. He specializes in nonlinear control theory and the control of partial differential equations, contributing significantly to the field through his research on adaptive control of uncertain nonlinear systems. Dr. Ayadi is currently an Associate Professor at the Higher Institute of Applied Mathematics and Computer Sciences, University of Kairouan, Tunisia. With a strong academic background, numerous publications in reputable journals, and active supervision of postgraduate students, he continues to advance mathematical research and education.
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Education Background🎓
- Ph.D. in Mathematics (2010–2014) – Faculty of Sciences of Sfax, University of Sfax
- Thesis: Adaptive control by output feedback of uncertain nonlinear systems.
- Supervisor: Prof. Mohamed Ali Hammami
- Master in Mathematics “Agregation” (2007–2009) – Preparatory Institute for Scientific and Technical Studies, University of Carthage, Tunis
- Bachelor in Mathematics (1988–1995) – Faculty of Sciences of Sfax, University of Sfax
- Baccalaureate in Mathematics and Technics (1987–1988) – Technic School March 20, 1956, Sfax
Professional Experience🌱
- Associate/Assistant Professor (2014–Present)
- Higher Institute of Applied Mathematics and Computer Sciences, University of Kairouan
- Former Director of the Mathematics Department (2017–2020)
- Courses taught include Real Analysis, Algebra, Fourier Analysis, Functional Analysis, and Control Theory at undergraduate and postgraduate levels.
- Associate Professor “AgrĂ©gĂ©” (2009–2014)
- Preparatory Institute of Engineering Studies of Sfax, University of Sfax
- Taught Abstract and Linear Algebra, Real Analysis.
- Secondary School Mathematics Teacher (2000–2007)
- Secondary School 2 March 1934, Beja, and Secondary School Rejiche, Mahdia
- Taught Basic Analysis, Calculus, Algebra, and Euclidean Geometry.
- Nonlinear Control Theory
- Control of Partial Differential Equations (PDEs)
- Adaptive Control and Observers
- Stability Analysis of Control Systems
Author Metrics
Publications Top Notes đź“„
1. Boundary Exponential Stabilization of a Time-Delay ODE-KdV Cascaded System
- Journal: European Journal of Control
- Publication Date: January 2025
- DOI: 10.1016/j.ejcon.2024.101141
- Contributors: Habib Ayadi, Mariem Jlassi
- Summary:
This paper investigates the boundary stabilization of a coupled system comprising an ordinary differential equation (ODE) and a Korteweg–de Vries (KdV) equation with a time delay. The proposed control strategy ensures exponential stability and addresses the challenges posed by delayed boundary conditions.
2. Local Exponential Stabilisation of the Delayed Fisher’s Equation
- Journal: International Journal of Systems Science
- Publication Date: July 12, 2024
- Contributors: Habib Ayadi, Nizar Mahfoudhi
- Summary:
This research focuses on the exponential stabilization of the delayed Fisher’s equation, a nonlinear partial differential equation (PDE). The study presents a stabilization approach that ensures the local exponential convergence of the solution in the presence of time delay.
3. Local Exponential Stabilization of a Coupled ODE-Fisher’s PDE System
- Journal: European Journal of Control
- Publication Date: May 2023
- DOI: 10.1016/j.ejcon.2023.100807
- Contributors: Habib Ayadi, Nizar Mahfoudhi
- Summary:
This study addresses the local exponential stabilization of a coupled ODE and Fisher’s PDE system. The paper develops control methodologies to counteract the inherent instabilities and achieve desired stabilization.
4. Global Exponential Stabilization of the Linearized Korteweg-de Vries Equation with a State Delay
- Journal: IMA Journal of Mathematical Control and Information
- Publication Date: May 4, 2023
- DOI: 10.1093/imamci/dnad016
- Contributors: Habib Ayadi, Mariem Jlassi
- Summary:
The paper focuses on the global exponential stabilization of the linearized Korteweg-de Vries (KdV) equation under the effect of state delay. The authors propose an adaptive control scheme ensuring system stability and convergence.
5. Rapid Exponential Stabilisation of Linear-KdV Equation with Long Input Delay on the Left Boundary
- Journal: International Journal of Control
- Publication Date: August 3, 2021
- DOI: 10.1080/00207179.2019.1693632
- Contributors: Habib Ayadi
- Summary:
This work examines the stabilization of the linear Korteweg–de Vries (KdV) equation subject to a long input delay on the left boundary. The paper proposes a novel control design to achieve rapid exponential stabilization.
Conclusion
Prof. Habib Ayadi is a strong candidate for the Best Researcher Award due to his substantial contributions to Mathematical Control Theory, exceptional publication record, and dedication to teaching and mentorship. His work on exponential stabilization and adaptive control of nonlinear systems is highly relevant and impactful.
With continued focus on industry collaboration, international exposure, and diversification into emerging interdisciplinary areas, his research trajectory could further elevate his position as a leading expert in the field.
Recommendation:
Based on the above evaluation, Prof. Ayadi’s achievements, research contributions, and academic leadership make him highly suitable for the Best Researcher Award in Mathematical Control Theory.