Author:
Xu Changjin,Liao Maoxin,Li Peiluan
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.
Reference31 articles.
1. Existence of weighted pseudo anti-periodic solutions to some non-autonomous differential equations;Applied Mathematics and Computation,2012
2. Piecewise pseudo almost periodic solution for impulsive generalised high-order Hopfield neural networks with leakage delays;Neural Processing Letters,2017
3. Existence and global exponential stability of pseudo almost periodic solution for SICNNs with mixed delays;Journal of Applied Mathematics and Computing,2012
4. Weighted pseudo almost periodic functions and applications;Comptes Rendus Mathematique,2006
5. Existence and attractivity of almost periodic solution for recurrent neural networks with unbounded delays and variable coefficients;Nonlinear Dynamics,2006
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