The bipartite synchronization problem for fractional order antagonistic coupled neural networks (FACNNs) is investigated in this paper. Using the properties of gamma function and special matrix, some criteria for bipartite Mittag–Leffler (M–L) synchronization and bipartite finite time synchronization of FACNNs have been obtained. To achieve bipartite finite time pinning synchronization, hybrid control strategy is designed. That is, finite time control combined with pinning control, pinning partial nodes, which can access the information of the leader. The upper bound of synchronization setting time is obtained.

中文翻译：

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分数阶耦合神经网络混合控制的双向同步分析。

研究了分数阶拮抗耦合神经网络（FACNN）的二部同步问题。利用伽马函数和特殊矩阵的性质，已经获得了FACNN的二分Mittag-Leffler（ML）同步和二分有限时间同步的一些准则。为了实现双向有限时间固定同步，设计了混合控制策略。即，有限时间控制与固定控制相结合，固定部分节点，可以访问领导者的信息。获得同步设置时间的上限。