ABSTRACT

This paper examines the problem of master-slave synchronization for a class of fuzzy Cohen-Grossberg neural networks (FCGNNs) subject to fuzzy effects and time-delays (time-varying and distributed). Some sufficient and new conditions are given in order to establish the exponential lag synchronization for the considered model. Also, the existence, the uniqueness, and exponential stability of the equilibrium point are investigated, based on the nonlinear measure method and Halanay inequality. Finally, two examples with numerical simulations are given to show the effectiveness of the derived results.

中文翻译：

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时滞模糊Cohen-Grossberg神经网络的同步性和稳定性的非线性测度方法

摘要

本文研究了受模糊影响和时滞（时变和分布）影响的一类模糊Cohen-Grossberg神经网络（FCGNN）的主从同步问题。为了建立所考虑模型的指数滞后同步，给出了一些充分的新条件。此外，基于非线性测度方法和Halanay不等式，研究了平衡点的存在，唯一性和指数稳定性。最后，给出了两个带有数值模拟的例子，以证明所得结果的有效性。