Global exponential stability of discrete-time multidirectional associative memory neural network with variable delays
type: Item
instance of: scholarly article
title: Global exponential stability of discrete-time multidirectional associative memory neural network with variable delays
zbMATH Open document ID: 1257.34067
DOI: 10.5402/2012/831715
author: Min Wang
author: Tiejun Zhou
author: Xiaolan Zhang
published in: ISRN Discrete Mathematics
publication date: 2013-02-21T00:00:00Z
review text: Summary: A discrete-time multidirectional associative memory neural networks model with varying time delays is formulated by employing the semidiscretization method. A sufficient condition for the existence of an equilibrium point is given. By calculating difference and using inequality technique, a sufficient condition for the global exponential stability of the equilibrium point is obtained. The results are helpful to design global exponentially stable multidirectional associative memory neural networks. An example is given to illustrate the effectiveness of the results.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 6137702
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/831715
OpenAlex ID: W1991200688
Wikidata QID: Q58692678
cites work: A combined multi-winner multidirectional associative memory
cites work: Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks
cites work: Exponential stability of continuous-time and discrete-time cellular neural networks with delays
cites work: Discrete-time analogues of integrodifferential equations modelling bidirectional neural networks
cites work: Robust stabilization of singular-impulsive-delayed systems with nonlinear perturbations
description: scientific article; zbMATH DE number 6137702