Practical exponential stability of impulsive stochastic food chain system with time-varying delays

Y Zhao, L Wang - Mathematics, 2022 - mdpi.com
This paper studies the practical exponential stability of an impulsive stochastic food chain
system with time-varying delays (ISOFCSs). By constructing an auxiliary system equivalent …

Practical exponential stability of stochastic age-dependent capital system with Lévy noise

W Ma, X Luo, Q Zhu - Systems & Control Letters, 2020 - Elsevier
It is well known that stability is one of most important topics in economy and control. In this
paper, we focus on the practical stability problem for a class of stochastic age-dependent …

Practical exponential stability of impulsive stochastic functional differential equations

T Caraballo, MA Hammami, L Mchiri - Systems & Control Letters, 2017 - Elsevier
This paper is devoted to the investigation of the practical exponential stability of impulsive
stochastic functional differential equations. The main tool used to prove the results is the …

Practical stability with respect to a part of variables of stochastic differential equations

T Caraballo, F Ezzine, MA Hammami, L Mchiri - Stochastics, 2021 - Taylor & Francis
In this paper, practical stability with respect to a part of the variables of nonlinear stochastic
differential equations is studied. The analysis of the global practical uniform asymptotic …

On the exponential stability of stochastic perturbed singular systems in mean square

T Caraballo, F Ezzine, MA Hammami - Applied Mathematics & …, 2021 - Springer
The approach of Lyapunov functions is one of the most efficient ones for the investigation of
the stability of stochastic systems, in particular, of singular stochastic systems. The main …

h-stability in pth moment of neutral pantograph stochastic differential equations with Markovian switching driven by Lévy noise

T Caraballo, M Belfeki, L Mchiri, M Rhaima - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper we investigate the h-stability in p th moment of neutral pantograph stochastic
differential equations with Markovian switching driven by Lévy noise. The main tool used to …

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 …

Practical exponential stability of impulsive stochastic reaction–diffusion systems with delays

Q Yao, P Lin, L Wang, Y Wang - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This article studies the practical exponential stability of impulsive stochastic reaction–
diffusion systems (ISRDSs) with delays. First, a direct approach and the Lyapunov method …

p th moment exponential stability of neutral stochastic pantograph differential equations with Markovian switching

T Caraballo, L Mchiri, B Mohsen, M Rhaima - Communications in Nonlinear …, 2021 - Elsevier
In this paper we focus on the p th moment exponential stability of neutral stochastic
pantograph differential equations with Markovian switching (NSPDEwMS). By means of the …

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 …