The anti-periodic oscillations of shunting inhibitory cellular neural networks with time-varying delays and continuously distributed delays
International Journal of Intelligent Computing and Cybernetics
ISSN: 1756-378X
Article publication date: 13 November 2017
Abstract
Purpose
The purpose of this paper is to study the existence and exponential stability of anti-periodic solutions of a class of shunting inhibitory cellular neural networks (SICNNs) with time-varying delays and continuously distributed delays.
Design/methodology/approach
The inequality technique and Lyapunov functional method are applied.
Findings
Sufficient conditions are obtained to ensure that all solutions of the networks converge exponentially to the anti-periodic solution, which are new and complement previously known results.
Originality/value
There are few papers that deal with the anti-periodic solutions of delayed SICNNs with the form negative feedback – aij(t)αij(xij(t)).
Keywords
Acknowledgements
This work is supported by National Natural Science Foundation of China (No. 61673008 and No. 11261010) and Project of High-level Innovative Talents of Guizhou Province ((2016) 5651) and Major Research Project of The Innovation Group of The Education Department of Guizhou Province ((2017) 039).
Citation
Xu, C. and Li, P. (2017), "The anti-periodic oscillations of shunting inhibitory cellular neural networks with time-varying delays and continuously distributed delays", International Journal of Intelligent Computing and Cybernetics, Vol. 10 No. 4, pp. 513-529. https://doi.org/10.1108/IJICC-11-2016-0053
Publisher
:Emerald Publishing Limited
Copyright © 2017, Emerald Publishing Limited