Global exponential periodicity and stability of neural network models with generalized piecewise constant delay
type: Item
instance of: scholarly article
title: Global exponential periodicity and stability of neural network models with generalized piecewise constant delay
zbMATH Open document ID: 1478.93541
author: K. S. Chiu
author: Fernando Córdova-Lepe
published in: Mathematica Slovaca
publication date: 2021-12-03T00:00:00Z
Mathematics Subject Classification ID: 93D23
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93B70
Mathematics Subject Classification ID: 93C43
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 7438357
zbMATH Keywords: delayed neural networks
zbMATH Keywords: piecewise constant delay of generalized type
zbMATH Keywords: periodic solutions
zbMATH Keywords: asymptotic stability
zbMATH Keywords: global exponential stability
zbMATH Keywords: Gronwall integral inequality
Wikidata QID: Q115514316
MaRDI profile type: Publication
full work available at URL: ms-2017-0483
OpenAlex ID: W3164273120
cites work: Q4922172
cites work: Stability in cellular neural networks with a piecewise constant argument
cites work: Nonlinear hybrid continuous/discrete-time models
cites work: Q4516852
cites work: Q4693712
cites work: Global asymptotic stability of neural networks with transmission delays
cites work: Retarded differential equations with piecewise constant delays
cites work: An Equation Alternately of Retarded and Advanced Type
cites work: Existence and attractivity of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients.
cites work: Q5412917
cites work: Stability of oscillatory solutions of differential equations with a general piecewise constant argument
cites work: Variation of parameters formula and Gronwall inequality for differential equations with a general piecewise constant argument
cites work: Periodic solutions of differential equations with a general piecewise constant argument and applications
cites work: Existence and global convergence of periodic solutions in recurrent neural network models with a general piecewise alternately advanced and retarded argument
cites work: Existence and global exponential stability of equilibrium for impulsive cellular neural network models with piecewise alternately advanced and retarded argument
cites work: Stability of oscillatory solutions of differential equations with general piecewise constant arguments of mixed type
cites work: Exponential stability and periodic solutions of impulsive neural network models with piecewise constant argument
cites work: Asymptotic equivalence of alternately advanced and delayed differential systems with piecewise constant generalized arguments
cites work: Oscillatory and periodic solutions of differential equations with piecewise constant generalized mixed arguments
cites work: Cellular neural networks: theory
cites work: New stability criteria for neural networks with time-varying delays
cites work: The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks
cites work: New approaches on stability criteria for neural networks with interval time-varying delays
cites work: Improved delay-dependent stability results of recurrent neural networks
cites work: Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays.
cites work: Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays
cites work: Exponential stability of continuous-time and discrete-time cellular neural networks with delays
cites work: Global exponential stability of cellular neural networks with variable delays
cites work: Asymptotic equivalence of nonlinear and quasi linear differential equations with piecewise constant arguments
cites work: Cauchy and Green matrices type and stability in alternately advanced and delayed differential systems
cites work: Advanced differential equations with piecewise constant argument deviations
cites work: Asymptotical stability criterion on neural networks with multiple time-varying delays
cites work: Q4858399
cites work: New results on global exponential stability of recurrent neural networks with time-varying delays
cites work: Global exponential stability of high order Hopfield type neural networks
cites work: Stability analysis of neural networks with periodic coefficients and piecewise constant arguments
cites work: Global exponential periodicity and stability of cellular neural networks with variable and distributed delays
cites work: New stability criteria of neural networks with interval time-varying delay: a piecewise delay method
DOI: 10.1515/MS-2017-0483
Recommended article: Existence and global exponential stability of periodic solutions for general neural networks with time-varying delays
Recommended article: Q3405215
Recommended article: Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays
Recommended article: Global exponential stability of the periodic solution of a delayed neural network with discontinuous activations
Recommended article: Global exponential stability and periodic solutions of recurrent neural networks with delays
Recommended article: Global exponential stability of periodic solution of neural network with variable coefficients and time-varying delays
Recommended article: Globally exponentially robust stability and periodicity of delayed neural networks
Recommended article: Global exponential stability of almost periodic solution of delayed neural networks with discontinuous activations
Recommended article: Global exponential stability in Lagrange sense for periodic neural networks with various activation functions and time-varying delays
description: scientific article; zbMATH DE number 7438357