Almost sure stability of stochastic neural networks with time delays in the leakage terms
type: Item
instance of: scholarly article
title: Almost sure stability of stochastic neural networks with time delays in the leakage terms
zbMATH Open document ID: 1417.60053
DOI: 10.1155/2016/2487957
author: Mingzhu Song
author: Quanxin Zhu
author: Hongwei Zhou
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: The stability issue is investigated for a class of stochastic neural networks with time delays in the leakage terms. Different from the previous literature, we are concerned with the almost sure stability. By using the LaSalle invariant principle of stochastic delay differential equations, Itô's formula, and stochastic analysis theory, some novel sufficient conditions are derived to guarantee the almost sure stability of the equilibrium point. In particular, the weak infinitesimal operator of Lyapunov functions in this paper is not required to be negative, which is necessary in the study of the traditional moment stability. Finally, two numerical examples and their simulations are provided to show the effectiveness of the theoretical results and demonstrate that time delays in the leakage terms do contribute to the stability of stochastic neural networks.
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 7025688
Wikidata QID: Q59123412
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/2487957
OpenAlex ID: W2407247613
cites work: Almost sure exponential stability of numerical solutions to stochastic delay Hopfield neural networks
cites work: Global exponential stability of delayed Markovian jump fuzzy cellular neural networks with generally incomplete transition probability
cites work: Stability and bifurcation analysis for a class of generalized reaction-diffusion neural networks with time delay
cites work: Stochastic stability of neural networks with both Markovian jump parameters and continuously distributed delays
cites work: Dynamics of uncertain discrete-time neural network with delay and impulses
cites work: Robustness analysis of hybrid stochastic neural networks with neutral terms and time-varying delays
cites work: Leakage delays in BAM
cites work: Global exponential stability for BAM neural networks with time-varying delays in the leakage terms
cites work: Synchronization criteria for coupled stochastic neural networks with time-varying delays and leakage delay
cites work: Global asymptotic stability of BAM fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays
cites work: Existence and global asymptotic stability of fuzzy cellular neural networks with time delay in the leakage term and unbounded distributed delays
cites work: A note on the LaSalle-type theorems for stochastic differential delay equations
cites work: Adaptive fractional-order switching-type control method design for 3D fractional-order nonlinear systems
description: scientific article; zbMATH DE number 7025688