Existence and exponential stability of solutions for stochastic cellular neural networks with piecewise constant argument
type: Item
instance of: scholarly article
title: Existence and exponential stability of solutions for stochastic cellular neural networks with piecewise constant argument
zbMATH Open document ID: 1406.92011
DOI: 10.1155/2014/145061
author: Xiaoai Li
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: By using the concept of differential equations with piecewise constant argument of generalized type, a model of stochastic cellular neural networks with piecewise constant argument is developed. Sufficient conditions are obtained for the existence and uniqueness of the equilibrium point for the addressed neural networks. \(p\)th moment exponential stability is investigated by means of Lyapunov functional, stochastic analysis, and inequality technique. The results in this paper improve and generalize some of the previous ones. An example with numerical simulations is given to illustrate our results.
Mathematics Subject Classification ID: 92B20
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34F05
zbMATH DE Number: 7010552
Wikidata QID: Q59049601
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/145061
OpenAlex ID: W2081462589
description: scientific article; zbMATH DE number 7010552