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Neural Processing Letters
Published in: Neural Processing Letters 1/2018

08-06-2017

Delta-Differentiable Weighted Pseudo-Almost Automorphicity on Time–Space Scales for a Novel Class of High-Order Competitive Neural Networks with WPAA Coefficients and Mixed Delays

Authors: Adnène Arbi, Ahmed Alsaedi, Jinde Cao

Published in: Neural Processing Letters | Issue 1/2018

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Abstract

In this paper, we consider a novel class of high-order competitive neural networks with mixed delays. Different from the previous literature, we study the existence and exponential stability of weighted pseudo-almost automorphic on time–space scales solutions for the suggested system. Our method is mainly based on the Banach’s fixed point theorem, the theory of calculus on time scales and the Lyapunov–Krasovskii functional method. Moreover, a numerical example is given to show the effectiveness of the main results.
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Metadata
Title
Delta-Differentiable Weighted Pseudo-Almost Automorphicity on Time–Space Scales for a Novel Class of High-Order Competitive Neural Networks with WPAA Coefficients and Mixed Delays
Authors
Adnène Arbi
Ahmed Alsaedi
Jinde Cao
Publication date
08-06-2017
Publisher
Springer US
Published in
Neural Processing Letters / Issue 1/2018
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-017-9645-z

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