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Cognitive Neurodynamics

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03-11-2021 | Research Article

Discrete analogue of impulsive recurrent neural networks with both discrete and finite distributive asynchronous time-varying delays

Authors: Songfang Jia, Yanheng Chen

Published in: Cognitive Neurodynamics | Issue 3/2022

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Abstract

This paper studies the dynamical characteristics of discrete analogue of impulsive recurrent neural networks with both discrete and finite distributed asynchronous time-varying delays. Firstly, the discrete impulsive system of the corresponding continuous-time model is reformed by impulsive maps and semi-discrete method. Secondly, by employing a famous delay impulsive differential inequality, several novel sufficient conditions are derived to ensure the uniqueness of equilibrium point and its global exponential stability in Lagrange sense for the discussed discrete-time impulsive system. Meanwhile, it is illustrated that the discrete-time analogue retains the uniqueness of equilibrium point of the corresponding continuous-time model, and some corollaries follow. Finally, one example is given to demonstrate the validity of our obtained results.

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Title: Discrete analogue of impulsive recurrent neural networks with both discrete and finite distributive asynchronous time-varying delays
Authors: Songfang Jia
Yanheng Chen
Publication date: 03-11-2021
Publisher: Springer Netherlands
Published in: Cognitive Neurodynamics / Issue 3/2022
Print ISSN: 1871-4080
Electronic ISSN: 1871-4099
DOI: https://doi.org/10.1007/s11571-021-09739-1

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