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

Abstract

Purpose

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/approach

The principle of weighted pseudo-almost periodic functions and some new mathematical analysis skills are applied.

Findings

A 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/value

The 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.

Citation

Xu, C., Liao, M. and Li, P. (2019), "Influence of time delay on weighted pseudo-almost periodic dynamics in SICNNs", International Journal of Intelligent Computing and Cybernetics, Vol. 12 No. 2, pp. 260-273. https://doi.org/10.1108/IJICC-04-2018-0054