Global exponential stability in Hopfield and bidirectional associative memory neural networks with time delays
type: Item
instance of: scholarly article
title: Global exponential stability in Hopfield and bidirectional associative memory neural networks with time delays
zbMATH Open document ID: 1063.34073
DOI: 10.1142/S0252959904000263
author: Libin Rong
author: Wenlian Lu
author: Tianping Chen
published in: Chinese Annals of Mathematics. Series B
publication date: 2004-10-25T00:00:00Z
review text: The authors consider a variant of the Hopfield neural network \[ \frac{du_i}{dt} = -d_i u_i + \sum_{j=1}^N b_{ij} g_j(u_j(t-\tau_j))+ I_i, \quad i=1,\dots,n. \] The first result concerns the existence and uniqueness of an equilibrium. Then, using a Lyapunov functional, sufficient conditions for the global exponential stability are obtained. Finally, a bidirectional associative memory neural network is studied.
reviewed by: S. Yanchuk
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 2109894
zbMATH Keywords: Hopfield neural network
zbMATH Keywords: bidirectional associative memory
zbMATH Keywords: global exponential stability
zbMATH Keywords: delay
zbMATH Keywords: Lyapunov functional
MaRDI profile type: Publication
full work available at URL: s0252959904000263
OpenAlex ID: W2398414730
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description: scientific article; zbMATH DE number 2109894