LMI-based synchronization criteria for FitzHugh-Nagumo networks with delayed coupling

Abstract

In this paper, the synchronization for networks of multi-coupled FitzHugh-Nagumo neurons with delayed coupling is investigated. Based on Lyapunov method and linear matrix inequality (LMI) technique, some new sufficient conditions are obtained for the asymptotic stability of the error dynamical networks. The derived theorems are more general than many existing results for two or three coupled neurons. Furthermore, two numerical simulation examples are given to illustrate the effectiveness of our presented theoretical results.