M. Ayari

Controlling subsets of state variables in epidemic models: a time-scale approach

On the Dynamics of Fractional Models for Power Systems with Incommensurate Orders: Chaos, Multistability, and Control

This paper presents the nonlinear chaotic dynamics of a power system model within an incommensurate fractional-order framework. Equilibrium points are derived and analyzed using Jacobian-based local stability theory adapted to fractional-order systems. Furthermore, bifurcation analysis is employed to examine how variat...

New criteria for state estimation in uncertain fuzzy dynamical control systems

This work examines the state estimation of fuzzy control systems subject to disturbances, particularly perturbations bounded by a Hölderian continuous function, and solves the observer design problem using the Takagi–Sugeno (T–S) fuzzy approach with specific restrictions on the nonlinearities.

Practical Stabilization of Uncertain Fuzzy Systems: Design Methods and Case Studies in Environmental Control

This study develops a feedback stabilization framework for uncertain Takagi–Sugeno (T–S) fuzzy systems, guaranteeing practical exponential stability. A primary contribution is the derivation of sufficient conditions established via Lyapunov analysis, which ensure that all system trajectories converge exponentially to a...