Advances in Computational Design

Volume 9, Number 2, 2024, pages 097-113

DOI: 10.12989/acd.2024.9.2.097

Stability of stochastic neutral neural networks with delays

Xiaoqi Sun and Ling Zhang

Abstract

In this paper, we proposed a new class of stochastic neutral neural networks with uncertain and deterministic coefficients. Made the Sigmund activation and Lipschitz activation functions less conditional. The Lyapnov-Krasovskii functional is constructed. The linear matrix inequality (LMI) is constructed using Schur's lemma, and new criteria for the global asymptotic stability and global asymptotic robust stability of neural networks are obtained. Furthermore, we have verified that the method is effective and feasible through numerical examples.

Key Words

delay; deterministic and uncertain coefficients; neutral neural networks; robust stability; stochastic

Address

Xiaoqi Sun and Ling Zhang: School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China