Global exponential stability for a class of retarded functional differential equations with applications in neural networks
type: Item
instance of: scholarly article
title: Global exponential stability for a class of retarded functional differential equations with applications in neural networks
zbMATH Open document ID: 1059.34052
author: Xiaofeng Liao
author: Kwok-Wo Wong
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-08-06T00:00:00Z
review text: By employing several Lyapunov functionals, the authors obtain easily verifiable delay-dependent sufficient conditions for the global exponential stability of retarded functional-differential equations with multiple time-varying delays. These approaches generalize both the Hopfield neural network model as well as hybrid network models of cellular neural network type.
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 2082133
zbMATH Keywords: retarded functional-differential equations
zbMATH Keywords: time-varying delay
zbMATH Keywords: Lyapunov functionals
zbMATH Keywords: global exponential stability
zbMATH Keywords: global asymptotic stability
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: j.jmaa.2003.12.018
OpenAlex ID: W1997894879
cites work: Neural networks and physical systems with emergent collective computational abilities.
cites work: Neurons with graded response have collective computational properties like those of two-state neurons.
cites work: Collective Computation With Continuous Variables
cites work: Stability in asymmetric Hopfield nets with transmission delays
cites work: Global Attractivity in Delayed Hopfield Neural Network Models
cites work: Almost Kenmotsu 3−h -manifolds with cyclic-parallel Ricci tensor
cites work: Global exponential stability and periodic solutions of delay Hopfield neural networks
cites work: Stability analysis of delayed neural networks
cites work: Stability and dynamics of delay-type general and cellular neural networks
cites work: Stability of cellular neural networks with dominant nonlinear and delay-type templates
cites work: On the global convergence of a class of functional differential equations with applications in neural network theory
cites work: Exponential Convergence of Delayed Dynamical Systems
cites work: Bifurcation analysis on a two-neuron system with distributed delays
cites work: Hopf bifurcation and chaos in a single delayed neuron equation with non-monotonic activation function
cites work: Novel robust stability criteria for interval-delayed Hopfield neural networks
cites work: Qualitative analysis of Bi-directional Associative Memory with time delay
cites work: Novel stability criteria for bidirectional associative memory neural networks with time delays
cites work: Stability analyses of cellular neural networks with continuous time delay
cites work: Stability and control of feedback systems with time delays
cites work: On global asymptotic stability of a class of nonlinear systems arising in neural network theory
cites work: Stability of Some Test Equations with Delay
DOI: 10.1016/J.JMAA.2003.12.018
description: scientific article; zbMATH DE number 2082133