Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 174
Stability for Neutral-Type Neural Networks Systems with Random Switches in Noise and Delay
Aziz Zouine
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 23, 2022
March 03, 2159
April 15, 2159

Abstract: This paper focuses on existence, uniqueness and stability analysis of solutions for a new kind of delayed Markovian switched neutral-type neural networks systems with Markovian switched noises that combines many types of neural networks studied in the literature. After having presented the studied system, existence and uniqueness of solutions are shown under a Lipschitz condition. By using the Lyapunov Krasovkii functional, some stochastic analysis techniques and the M-matrix approach, stochastic and general decay stabilities are established. Finally, a numerical example is given to validate ...