In this paper, the real-valued memristive neural networks (MNNs) are extended to quaternion field, a new class of neural networks named quaternion-valued memristive neural networks (QVMNNs) is then established. The problem of master-slave synchronization of this type of networks is investigated in this paper. Two types of controllers are designed: the traditional feedback controller and the event-triggered controller. Corresponding synchronization criteria are then derived based on Lyapunov method. Moreover, it is demonstrated that Zeno behavior can be avoided in case of the event-triggered strategy proposed in this work. Finally, corresponding simulation examples are proposed to demonstrate the correctness of the proposed results derived in this work.

中文翻译：

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具有和不具有事件触发方案的四元数值忆阻神经网络的同步控制。

本文将实值忆阻神经网络（MNN）扩展到四元数域，然后建立一类称为四元数忆阻神经网络的新型神经网络。本文研究了这类网络的主从同步问题。设计了两种类型的控制器：传统的反馈控制器和事件触发的控制器。然后基于李雅普诺夫方法导出相应的同步准则。此外，证明了在这项工作中提出的事件触发策略的情况下可以避免芝诺行为。最后，提出了相应的仿真示例，以证明本文得出的建议结果的正确性。