Stability analysis of periodic solutions in alternately advanced and retarded neural network models with impulses
type: Item
instance of: scholarly article
title: Stability analysis of periodic solutions in alternately advanced and retarded neural network models with impulses
zbMATH Open document ID: 1489.93098
author: K. S. Chiu
published in: Taiwanese Journal of Mathematics
publication date: 2022-02-28T00:00:00Z
Mathematics Subject Classification ID: 93D23
Mathematics Subject Classification ID: 93B70
Mathematics Subject Classification ID: 93C27
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 7481705
zbMATH Keywords: global exponential stability
zbMATH Keywords: Gronwall integral inequality
zbMATH Keywords: impulsive neural networks
zbMATH Keywords: periodic solutions
zbMATH Keywords: piecewise constant argument of generalized type
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/tjm/210902
OpenAlex ID: W3203435374
cites work: Impulsive Hopfield-type neural network system with piecewise constant argument
cites work: Neural networks with discontinuous/impact activations
cites work: Q4516852
cites work: Q4693712
cites work: Global asymptotic stability of neural networks with transmission delays
cites work: Q3120765
cites work: Existence and global exponential stability of equilibrium for impulsive cellular neural network models with piecewise alternately advanced and retarded argument
cites work: On generalized impulsive piecewise constant delay differential equations
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: Green's function for impulsive periodic solutions in alternately advanced and delayed differential systems and applications
cites work: Global exponential periodicity and stability of neural network models with generalized piecewise constant delay
cites work: Oscillatory and periodic solutions of differential equations with piecewise constant generalized mixed arguments
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: Cellular neural networks: theory
cites work: Stability of artificial neural networks with impulses
cites work: The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks
cites work: A topological approach to the existence of solutions for nonlinear differential equations with piecewise constant argument
cites work: The existence and exponential attractivity of \(\kappa\)-almost periodic sequence solution of discrete time neural networks
cites work: Asymptotic behaviour of a population model with piecewise constant argument
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: Second-order linear differential equations with piecewise constant arguments subject to nonlocal boundary conditions
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: Controllability and observability for a linear time varying system with piecewise constant delay
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: Q3312577
cites work: Q4858399
cites work: Differential equations with piecewise constant argument and impulsive equations
cites work: Existence of almost periodic solutions for forced perturbed systems with piecewise constant argument
cites work: Global exponential stability of high order Hopfield type neural networks
cites work: New stability criteria of neural networks with interval time-varying delay: a piecewise delay method
cites work: Global exponential periodicity and stability of cellular neural networks with variable and distributed delays
DOI: 10.11650/TJM/210902
description: scientific article; zbMATH DE number 7481705