Stability analysis of conformable fractional-order nonlinear systems depending on a parameter

O Naifar, G Rebiai, A Ben Makhlouf… - Journal of Applied …, 2020 - degruyter.com
In this paper, the stability of conformable fractional-order nonlinear systems depending on a
parameter is presented and described. Furthermore, The design of a feedback controller for …

Improved quasiuniform stability for fractional order neural nets with mixed delay

O Naifar, A Jmal, AM Nagy… - Mathematical Problems …, 2020 - Wiley Online Library
In the present paper, a quasiuniform stability result for fractional order neural networks with
mixed delay is developed, based on the generalized Gronwall inequality and the Caputo …

Finite‐time stability of linear Caputo‐Katugampola fractional‐order time delay systems

A Ben Makhlouf, AM Nagy - Asian Journal of Control, 2020 - Wiley Online Library
Finite‐Time Stability of Linear Caputo‐Katugampola Fractional‐Order Time Delay Systems -
Ben Makhlouf - 2020 - Asian Journal of Control - Wiley Online Library Skip to Article Content …

A novel finite time stability analysis of nonlinear fractional‐order time delay systems: a fixed point approach

A Ben Makhlouf - Asian Journal of Control, 2022 - Wiley Online Library
Finite time stability (FTS) of fractional‐order time delayed systems (FOTDSs) has been
studied by many researchers based on the Lyapunov functions and Gronwall inequalities. In …

Partial practical stability for fractional-order nonlinear systems

AB Makhlouf - Math. Methods Appl. Sci, 2022 - search.ebscohost.com
In this paper, stability analysis which ensures the convergence of a part of the solutions
towards a ball of a class of fractional‐order nonlinear systems is described. Using the …

A practical observer for state and sensor fault reconstruction of a class of fractional‐order nonlinear systems

H Ahmed, A Jmal, A Ben Makhlouf - The European Physical Journal …, 2023 - Springer
Practical observers have been widely used in the literature for the purpose of estimating
states for integer-order disturbed and/or uncertain systems. However, much less research …

SOS approach for practical stabilization of tempered fractional-order power system

H Gassara, D Kharrat, A Ben Makhlouf, L Mchiri… - Mathematics, 2023 - mdpi.com
Fractional systems have been widely utilized in various fields, such as mathematics, physics
and finance, providing a versatile framework for precise measurements and calculations …

Analysis and numerical solution of the generalized proportional fractional Cauchy problem

D Boucenna, D Baleanu, AB Makhlouf… - Applied Numerical …, 2021 - Elsevier
In this paper, we explore the existence and uniqueness theorem for a problem of the
fractional Cauchy form, with dependence on the generalized proportional Caputo derivative …

Design of Polynomial Observer-Based Control of Fractional-Order Power Systems

H Gassara, I Iben Ammar, A Ben Makhlouf, L Mchiri… - Mathematics, 2023 - mdpi.com
This research addresses the problem of globally stabilizing a distinct category of fractional-
order power systems (F-OP) by employing an observer-based methodology. To address the …

Practical stability of fractional-order nonlinear fuzzy systems

M Rhaima, L Mchiri, NH Taieb… - … Journal of General …, 2023 - Taylor & Francis
In this paper, we present a practical Mittag–Leffler stability for a new class of fractional-order
nonlinear Takagi–Sugeno fuzzy uncertain systems. Based on fractional-order Lyapunov …