[HTML][HTML] Stability analysis of conformable fractional-order nonlinear systems

A Souahi, AB Makhlouf, MA Hammami - Indagationes Mathematicae, 2017 - Elsevier
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Convergence and stability analysis of nonlinear singular systems: application to circuit network

F Ezzine, MA Hammami - Journal of Nonlinear Mathematical Physics, 2024 - Springer
A new class of singular linear time-invariant systems and electrical circuits are introduced.
The manuscripts discusses the analytical study of the practical stability of linear time …

Stability analysis for time-varying nonlinear systems

N Hadj Taieb - International Journal of control, 2022 - Taylor & Francis
This paper is concerned with practical asymptotic and exponential stability analysis of time-
varying nonlinear systems. With the help of the new notion of practical stable functions …

Exponential stability and boundedness of nonlinear perturbed systems by unbounded perturbation terms

G Şahan - Journal of the Franklin Institute, 2023 - Elsevier
We study the exponential stability and boundedness problem for perturbed nonlinear time-
varying systems using Lyapunov Functions with indefinite derivatives. As the limiting …

Discussion on Barbalat Lemma extensions for conformable fractional integrals

A Souahi, O Naifar, AB Makhlouf… - International Journal of …, 2019 - Taylor & Francis
Full article: Discussion on Barbalat Lemma extensions for conformable fractional integrals Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

[PDF][PDF] Practical partial stability of time-varying systems

A Hamzaoui, NH Taieb… - Discrete and Continuous …, 2022 - researchgate.net
In this paper we investigate the practical asymptotic and exponential partial stability of time-
varying nonlinear systems. We derive some sufficient conditions that guarantee practical …

On the Practical h-stability of Nonlinear Systems of Differential Equations

B Ghanmi - Journal of Dynamical and Control Systems, 2019 - Springer
In this paper, we present a new notion of stability for nonlinear systems of differential
equations called practical h-stability. Necessary and sufficient conditions for practical h …

Indefinite derivative for stability of time-varying nonlinear systems

N Hadj Taieb - IMA Journal of Mathematical Control and …, 2021 - academic.oup.com
This paper is concerned with stability analysis of nonlinear time-varying systems by using
Lyapunov function based approach. The classical Lyapunov stability theorems are …

On stability and stabilization of perturbed time scale systems with Gronwall inequalities

B Ben Nasser, K Boukerrioua… - Журнал математической …, 2015 - mathnet.ru
In the paper, new nonlinear time scale integral inequalities are given. By means of the
explicit integral bounds, we derive sufficient conditions for the uniform asymptotic stability of …

A new approach for stabilization of control-affine systems via integral inequalities

A Ben Makhlouf, MA Hammami… - IMA Journal of …, 2022 - academic.oup.com
In this work, we use a bilinear approximation to examine the stability problem of a class of
control-affine systems. We show that a continuous feedback may stabilize the system with …