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 …

Partial stability analysis of stochastic differential equations with a general decay rate

T Caraballo, F Ezzine, MA Hammami - Journal of Engineering …, 2021 - Springer
This paper is concerned with the almost sure partial practical stability of stochastic
differential equations with general decay rate. We establish some sufficient conditions based …

Asymptotically autonomous robustness in probability of random attractors for stochastic Navier-Stokes equations on unbounded Poincaré domains

R Wang, K Kinra, MT Mohan - SIAM Journal on Mathematical Analysis, 2023 - SIAM
The asymptotically autonomous robustness of random attractors of stochastic fluid equations
defined on bounded domains has been considered in the literature. In this article, we initially …

New stability criteria for stochastic perturbed singular systems in mean square

T Caraballo, F Ezzine, MA Hammami - Nonlinear Dynamics, 2021 - Springer
In this paper, we investigate the problem of stability of time-varying stochastic perturbed
singular systems by using Lyapunov techniques under the assumption that the initial …

Practical stability of the analytical and numerical solutions of stochastic delay differential equations driven by G-Brownian motion via some novel techniques

H Yuan, Q Zhu - Chaos, Solitons & Fractals, 2024 - Elsevier
In this paper, we focus on stochastic delay differential equations in the G-framework (G-
SDDEs). We introduce the practical stability to examine whether the performance of G-SDDE …

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 …

Practical stability with respect to a part of the variables of stochastic differential equations driven by G-Brownian motion

T Caraballo, F Ezzine, MA Hammami - Journal of Dynamical and Control …, 2023 - Springer
In this paper, practical stability with respect to a part of the variables of stochastic differential
equations driven by G-Brownian motion (G-SDEs) is studied. The analysis of the global …

[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 …

Asymptotically Autonomous Robustness of Non-autonomous Random Attractors for Stochastic Convective Brinkman-Forchheimer Equations on ℝ3

K Kinra, MT Mohan, R Wang - … Mathematics Research Notices, 2024 - academic.oup.com
This article is concerned with the asymptotically autonomous robustness (almost surely and
in probability) of random attractors for stochastic version of 3D convective Brinkman …

On stochastic elliptic equations driven by Wiener process with non-local condition

NH Tuan, NM Hai, TN Thach… - Discrete and Continuous …, 2023 - aimsciences.org
In this paper, a problem for stochastic elliptic equations containing Wiener process and non-
local condition is considered. Initially, existence results are constructed under two different …