The anti-periodic oscillations of shunting inhibitory cellular neural networks with time-varying delays and continuously distributed delays

摘要

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 - a_(ij)(t)a_(ij)(x_(ij)(t)).