The analysis of projective synchronization for fractional-order quaternion valued neural networks (FOQVNN) is addressed in this paper. The FOQVNN is separated into four real valued parts through Hamilton rules, enabling its synchronization analysis. Some criteria are formulated by the use of fractional differential inequality techniques; projective synchronization of FOQVNN is implemented by designing suitable hybrid controllers. One numerical example is given to show the feasibility of proposed methods.

中文翻译：

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分数阶四元值神经网络中的全局投影同步

本文讨论了分数阶四元值神经网络 (FOQVNN) 的投影同步分析。FOQVNN 通过 Hamilton 规则分为四个实值部分，从而实现了同步分析。一些标准是通过使用分数微分不等式技术制定的；FOQVNN 的投影同步是通过设计合适的混合控制器来实现的。给出了一个数值例子来说明所提方法的可行性。