Browsing by Author "Zouine, A."

Now showing 1 - 2 of 2

General Decay Stability of Nonlinear Delayed Hybrid Stochastic System With Switched Noises
(Biemdas Academic Publishers, 2024) Zouine, A.; Imzegouan, C.; Bouzahir, H.; Tunç, C.
Hybrid stochastic differential equations (HSDEs) have wide range of real-world applications. In this paper, we study a new kind of nonlinear delayed neutral stochastic differential equations with Markovian switched noises (NHSDE-MSN). Under the assumption that this type of equations satisfies the locally Lipschitz condition and general condition of monotonicity, the existence and uniqueness of global solutions are established. Then, based on the Lyapunov function, M-matrix theory, stochastic analysis techniques, and Barbalat lemma, taking into account the delay as a bounded function, different decay stabilities of solutions are investigated. Finally, a numerical example is given to illustrate the utility of the main results. © 2024 Biemdas Academic Publishers. All rights reserved.
On the Study of Neutral Stochastic Integro-Differential Neural Networks With Semi-Markovian Jumps and Random Multi-Delay in the Past and Present Moments
(Cambridge Scientific Publishers, 2023) Imzegouan, C.; Zouine, A.; Jabour, A.; Tunç, C.
This work is devoted to study existence, uniqueness and exponential stability in pth-moment for solution of integro-differential neural networks system. Under global Lipschitz condi-tion, existence and uniqueness of solution for stochastic neutral-type integro-differential neural net-works with sem-Markovian switching and random time delay are shown. Basing on the Lyapunov-Krasovskii functional and stochastic analysis technique, exponential stability in the pth-moment and exponential stability in the mean square are established. A numerical example is given to illustrate the main proposed results. © CSP - Cambridge, UK; I&S - Florida, USA, 2023