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Influence of time delay on weighted pseudo-almost periodic dynamics in SICNNs

Influence of time delay on weighted pseudo-almost periodic dynamics in SICNNs The purpose of this paper is to investigate the weighted pseudo-almost periodic solutions of shunting inhibitory cellular neural networks (SICNNs) with time-varying delays and distributed delays.Design/methodology/approachThe principle of weighted pseudo-almost periodic functions and some new mathematical analysis skills are applied.FindingsA set of sufficient criteria which guarantee the existence and exponential stability of the weighted pseudo-almost periodic solutions of the considered SICNNs are established.Originality/valueThe derived results of this paper are new and complement some earlier works. The innovation of this paper concludes two points: a new sufficient criteria guaranteeing the existence and exponential stability of the weighted pseudo-almost periodic solutions of SICNNs are established; and the ideas of this paper can be applied to investigate some other similar neural networks. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Intelligent Computing and Cybernetics Emerald Publishing

Influence of time delay on weighted pseudo-almost periodic dynamics in SICNNs

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Publisher
Emerald Publishing
Copyright
© Emerald Publishing Limited
ISSN
1756-378X
DOI
10.1108/ijicc-04-2018-0054
Publisher site
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Abstract

The purpose of this paper is to investigate the weighted pseudo-almost periodic solutions of shunting inhibitory cellular neural networks (SICNNs) with time-varying delays and distributed delays.Design/methodology/approachThe principle of weighted pseudo-almost periodic functions and some new mathematical analysis skills are applied.FindingsA set of sufficient criteria which guarantee the existence and exponential stability of the weighted pseudo-almost periodic solutions of the considered SICNNs are established.Originality/valueThe derived results of this paper are new and complement some earlier works. The innovation of this paper concludes two points: a new sufficient criteria guaranteeing the existence and exponential stability of the weighted pseudo-almost periodic solutions of SICNNs are established; and the ideas of this paper can be applied to investigate some other similar neural networks.

Journal

International Journal of Intelligent Computing and Cybernetics – Emerald Publishing

Published: May 15, 2019

Keywords: Weighted pseudo-almost periodic solution; Shunting inhibitory cellular neural networks; Exponential stability; Time-varying delays; Distributed delays

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