Based on the non-separation method, the finite-time projective synchronization of fractional-order quaternion-valued memristive networks with discontinuous activation functions is investigated in this paper. Firstly, the sign function related to quaternion is introduced and some properties concerning it are developed. Secondly, two different quaternion-valued controllers are designed by feat of the proposed sign function. Subsequently, several synchronization conditions are derived and the settling times are evaluated validly by the established finite-time fractional-order inequality. Especially noteworthy is that the addressed networks are converted into systems with parametric uncertainty in the framework of differential inclusion and measurable selection. Finally, a numerical example is given to demonstrate the correctness of theoretical analyses.

基于非分离方法，研究了具有不连续激活函数的分数阶四元数值忆阻网络的有限时间射影同步。首先，介绍了与四元数有关的符号函数，并开发了有关它的一些性质。其次，通过拟议的符号函数，设计了两种不同的四元数值控制器。随后，导出几个同步条件，并通过建立的有限时间分数阶不等式有效评估稳定时间。尤其值得注意的是，在差分包含和可测量选择的框架内，寻址网络已转换为具有参数不确定性的系统。最后，