Global exponential stability of discrete-time Hopfield neural network models with unbounded delays

In this paper, a general setting is presented to study the exponential stability of discrete-time systems with bounded or unbounded delays. Based on the M-matrix theory, we establish sufficient conditions to ensure the global exponential stability of the zero equilibrium of low-order, and high-order...

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Bibliographic Details
Main Author: Oliveira, José J. (author)
Format: article
Language:eng
Published: 2022
Subjects:
Online Access:https://hdl.handle.net/1822/78376
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/78376
Description
Summary:In this paper, a general setting is presented to study the exponential stability of discrete-time systems with bounded or unbounded delays. Based on the M-matrix theory, we establish sufficient conditions to ensure the global exponential stability of the zero equilibrium of low-order, and high-order, discrete-time Hopfield neural network models with unbounded delays and delay in the leakage terms. A comparison of the literature shows that our results generalize and improve some in recent publications.