Mean-square stability of Riemann–Liouville fractional Hopfield’s graded response neural networks with random impulses

Mean-square stability of Riemann–Liouville fractional Hopfield’s graded response neural networks with random impulses

Abstract In this paper a model of Hopfield’s graded response neural network is investigated. A network whose neurons are subject to a certain impulsive state displacement at random times is considered. The model is set up and studied. The presence of random moments of impulses in the model leads to...

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Bibliographic Details
Main Authors: R. Agarwal, S. Hristova, D. O’Regan, P. Kopanov
Format: Article
Language:English
Published: SpringerOpen 2021-02-01
Series:Advances in Difference Equations
Subjects:
Hopfield’s graded response neural network
Riemann–Liouville fractional derivative
Impulses at random times
Lyapunov functions
Mean-square Mittag-Leffler stability in time
Online Access:https://doi.org/10.1186/s13662-021-03237-8

Internet

https://doi.org/10.1186/s13662-021-03237-8

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