## Introduction

Introduction

Bacem Ben Nasser is an assistant professor of Applied Mathematics at the Higher Institute of
Applied Sciences and Technology of Kairouan, University of Kairouan, Tunisia. He has a Ph.D.
degree in Applied Mathematics from the Faculty of Sciences, University of Sfax, Tunisia, in 2016.
Currently, he is a post doctoral researcher at the King Abdullah University of Science and Technology (KAUST) in the Computer, Electrical and Mathematical Sciences and Engineering Division
(CEMSE) since October 2017. His main areas of study include control Lyapunov theory and time
scale calculus.

**Research intends**

The time scale calculus is a mathematical theory used to depict the engineering systems relating
to the continuous and the discrete analysis. This mathematical field helps to confer more credibility
and diversity for the prospective findings. In addition, it can be employed in various domains such
as : economic modeling, mechanical systems, population’s modelization, dynamic programming,
robotics and other scientific fields. Since its appearance, several mathematicians played an influential role in the development of this theory. The present research intends to extend and generalize
some results for potential possible applications.

## Selected Publications

**Journal Papers** ➊ B. Ben Nasser, K. Boukerrioua, M. Defoort, M. Djemai M. A. Hammami and T-M Laleg Kirati, Sufficient conditions for uniform exponential stability and h-stability of some classes
of dynamic equations on arbitrary time scales, Nonlinear Analysis : Hybrid Systems,
32 (2019), 54-64.

➋ B. Ben Nasser, K. Boukerrioua, M. Defoort, M. Djemai and M. A. Hammami, Refinements of
some Pachpatte and Bihari inequalities on time scales, Nonlinear Dynamics and Systems
Theory, 17 (4) (2017), 388-401.

➌ B. Ben Nasser, K. Boukerrioua, M. Defoort, M. Djemai and M. A. Hammami, State feedback
stabilization of a class of uncertain nonlinear systems on non-uniform time domains, Systems & Control Letters, (97) (2016), 18-26.

➍ B. Ben Nasser, K. Boukerrioua and M. A. Hammami, On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities, Journal of Mathematical Physics
Analysis Geometry, (11) 3 (2015), 207-235.

➎ B. Ben Nasser and M. A. Hammami, On Practical Stability of Perturbed Time Scale Systems,
Journal of Dynamical Systems and Geometric Theories, 12 (1) (2014), 51 − 67.

➏ B. Ben Nasser, K. Boukerrioua and M. A. Hammami, On the stability of perturbed time scale systems using integral inequalities, Applied Sciences (APPS), Geometry Balkan Press, (16) (2014), 56-71.

**Conference Proceedings**

➊ B. Ben Nasser, M. Defoort, M. Djemai and T-M Laleg-Kirati, Razumikhin-type Theorems on
Practical Stability of Dynamic Equations on Time Scales, IFAC Conference on Analysis
and Design of Hybrid Systems, Oxford, UK, 2018.

➋ B. Ben Nasser, K. Boukerrioua, M. Defoort, M. Djemai and M. A. Hammami, Some generalizations of Pachpatte inequalities on time scales, IFAC 2017 World Congress, Toulouse,
France.