This paper studies the problem of the global Mittag-Leffler synchronization for fractional-order multidimension-valued BAM neural networks (FOMVBAMNNs) with general activation functions (AFs). First, the unified model is established for the researched systems of FOMVBAMNNs which can be turned into the corresponding multidimension-valued systems as long as the state variables, the connection weights and the AFs of the neural networks are valued to be real, complex, or quaternion. Then, without any decomposition, the criteria in unified form are derived by constructing the new Lyapunov–Krasovskii functionals (LKFs) in vector form, combining two new inequalities and considering the easy controllers. It is worth mentioning that the obtained criteria have many advantages in higher flexibility, more diversity, smaller computation, and lower conservatism. Finally, a simulation example is provided to illustrate the availability and improvements of the acquired results.

本文研究具有通用激活函数（AF）的分数阶多维值BAM神经网络（FOMVBAMNN）的全局Mittag-Leffler同步问题。首先，为所研究的FOMVBAMNN系统建立统一模型，只要将状态变量，连接权重和神经网络的AF评估为真实，复杂或正常，就可以将其转换为相应的多维值系统。四元数。然后，在不进行任何分解的情况下，通过以向量形式构造新的Lyapunov-Krasovskii泛函（LKF），并结合两个新的不等式并考虑简单的控制器，可以得出统一形式的准则。值得一提的是，所获得的准则在较高的灵活性，更多的多样性，较小的计算和较低的保守性方面具有许多优点。