Adaptive exponential synchronization for stochastic competitive neural networks with time-varying leakage delays and reaction-diffusion terms
type: Item
instance of: scholarly article
title: Adaptive exponential synchronization for stochastic competitive neural networks with time-varying leakage delays and reaction-diffusion terms
zbMATH Open document ID: 1426.93290
DOI: 10.1155/2017/6987436
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: We study the exponential synchronization problem for a class of stochastic competitive neural networks with different timescales, as well as spatial diffusion, time-varying leakage delays, and discrete and distributed time-varying delays. By introducing several important inequalities and using Lyapunov functional technique, an adaptive feedback controller is designed to realize the exponential synchronization for the proposed competitive neural networks in terms of \(p\)-norm. According to the theoretical results obtained in this paper, the influences of the timescale, external stimulus constants, disposable scaling constants, and controller parameters on synchronization are analyzed. Numerical simulations are presented to show the feasibility of the theoretical results.
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 6972411
Wikidata QID: Q115522035
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/6987436
OpenAlex ID: W2746409365
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description: scientific article; zbMATH DE number 6972411