Stochastic synchronization of reaction-diffusion neural networks under general impulsive controller with mixed delays
type: Item
instance of: scholarly article
title: Stochastic synchronization of reaction-diffusion neural networks under general impulsive controller with mixed delays
zbMATH Open document ID: 1256.34064
DOI: 10.1155/2012/603535
author: Xinsong Yang
author: Chuangxia Huang
author: Zhichun Yang
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: This paper investigates drive-response synchronization of a class of reaction-diffusion neural networks with time-varying discrete and distributed delays via general impulsive control method. Stochastic perturbations in the response system are also considered. The impulsive controller is assumed to be nonlinear and has multiple time-varying discrete and distributed delays. Compared with existing nondelayed impulsive controller, this general impulsive controller is more practical and essentially important since time delays are unavoidable in practical operation. Based on a novel impulsive differential inequality, the properties of random variables and Lyapunov functional method, sufficient conditions guaranteeing the global exponential synchronization in mean square are derived through strict mathematical proof. In our synchronization criteria, the distributed delays in both continuous equation and impulsive controller play important role. Finally, numerical simulations are given to show the effectiveness of the theoretical results.
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 34D06
zbMATH DE Number: 6134123
Wikidata QID: Q58695661
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/603535
OpenAlex ID: W2036870904
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description: scientific article; zbMATH DE number 6134123