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

Qunjiao Zhang, Yao-bin Wei
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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.
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基于lmi的延迟耦合FitzHugh-Nagumo网络同步准则
摘要网络的同步multi-coupled FitzHugh-Nagumo神经元延迟耦合研究。基于Lyapunov方法和线性矩阵不等式(LMI)技术,得到了误差动态网络渐近稳定的一些新的充分条件。派生的定理更普遍比许多现有的两个或三个耦合神经元的结果。最后,给出了两个数值模拟实例,验证了理论结果的有效性。
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