On the study of neutral stochastic integro-differential neural networks with semi-Markovian jumps and random multi-delay in the past and present moments

On the study of neutral stochastic integro-differential neural networks with semi-Markovian jumps ...

Abstract

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 condition, existence and uniqueness of solution for stochastic neutral-type integro-differential neural networks 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.