Synchronization of discontinuous neural networks with delays via adaptive control
type: Item
instance of: scholarly article
title: Synchronization of discontinuous neural networks with delays via adaptive control
zbMATH Open document ID: 1264.93114
DOI: 10.1155/2013/147164
author: Xinsong Yang
author: Jinde Cao
published in: Discrete Dynamics in Nature and Society
publication date: 2013-06-13T00:00:00Z
review text: Summary: The drive-response synchronization of delayed neural networks with discontinuous activation functions is investigated via adaptive control. The synchronization of this paper means that the synchronization error approaches to zero for almost all time as time goes to infinity. The discontinuous activation functions are assumed to be monotone increasing which can be unbounded. Due to the mild condition on the discontinuous activations, adaptive control technique is utilized to control the response system. Under the framework of Filippov solution, by using Lyapunov function and chain rule of differential inclusion, rigorous proofs are given to show that adaptive control can realize complete synchronization of the considered model. The results of this paper are also applicable to continuous neural networks, since continuous function is a special case of discontinuous function. Numerical simulations verify the effectiveness of the theoretical results. Moreover, when there are parameter mismatches between drive and response neural networks with discontinuous activations, numerical example is also presented to demonstrate the complete synchronization by using discontinuous adaptive control.
Mathematics Subject Classification ID: 93C40
zbMATH DE Number: 6175042
Wikidata QID: Q58921257
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/147164
OpenAlex ID: W2073377061
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description: scientific article; zbMATH DE number 6175042