Mean square exponential stability of stochastic Cohen-Grossberg neural networks with unbounded distributed delays
type: Item
instance of: scholarly article
title: Mean square exponential stability of stochastic Cohen-Grossberg neural networks with unbounded distributed delays
zbMATH Open document ID: 1204.34106
DOI: 10.1155/2010/513218
author: L.-H. Huang
author: Chuangxia Huang
author: Yigang He
published in: Discrete Dynamics in Nature and Society
publication date: 2010-09-29T00:00:00Z
full work available at URL: https://eudml.org/doc/225395
review text: Summary: This paper addresses the issue of mean square exponential stability of stochastic Cohen-Grossberg neural networks (SCGNN), whose state variables are described by stochastic nonlinear integrodifferential equations. With the aid of a Lyapunov function, stochastic analysis, and inequality techniques, some novel sufficient conditions on mean square exponential stability for SCGNN are given. Furthermore, we also establish some sufficient conditions for checking for exponential stability for Cohen-Grossberg neural networks with unbounded distributed delays.
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 92B20
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 5793496
Wikidata QID: Q58650826
MaRDI profile type: Publication
OpenAlex ID: W2097618258
cites work: Q4877819
cites work: Boundedness and stability for Cohen--Grossberg neural network with time-varying delays
cites work: Global asymptotic stability of delayed Cohen-Grossberg neural networks
cites work: Global exponential stability of Hopfield neural networks with continuously distributed delays
cites work: Global exponential stability in DCNNs with distributed delays and unbounded activations
cites work: Asymptotical mean square stability of Cohen-Grossberg neural networks with random delay
cites work: Dynamic analysis of stochastic reaction-diffusion Cohen-Grossberg neural networks with delays
cites work: Q4001920
cites work: Exponential stability and instability of stochastic neural networks1
cites work: The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications
cites work: Solvability of impulsive neutral evolution differential inclusions with state-dependent delay
cites work: A set of stability criteria for delayed cellular neural networks
cites work: Existence and global exponential stability of periodic solution for bam neural networks with periodic coefficients and time-varying delays
cites work: New conditions for global exponential stability of cellular neural networks with delays
cites work: Dynamics of a class of cellular neural networks with time-varying delays
cites work: Convergence dynamics of stochastic reaction-diffusion recurrent neural networks with continuously distributed delays
description: scientific article; zbMATH DE number 5793496