In this paper, we consider the finite time anti-synchronization (A-SYN) of master-slave coupled quaternion-valued neural networks, where the time-varying delays can be asynchronous and unbounded. Without adopting the general decomposition method, the quaternion-valued state is considered as a whole, which greatly reduces the hassle of further analysis and calculations. The designed controller is delay-free, and the terms with time delay do not need to be bounded globally. Several sufficient conditions for ensuring the finite time A-SYN are obtained under 1-norm and 2-norm respectively. The A-SYN error will be proved to evolve from the initial value to 1 in finite time, and evolve from 1 to 0 also in finite time, hence the finite time A-SYN is proved, which is called two-phases-method. Moreover, adaptive rules for control strengths are also designed to realize the finite time A-SYN. Lastly, a numerical example is presented to demonstrate the correctness and effectiveness of our obtained results.

在本文中，我们考虑了主从耦合四元数值神经网络的有限时间反同步（A-SYN），其中时变延迟可以是异步的并且是无界的。在不采用一般分解方法的情况下，将四元数值状态作为一个整体来考虑，这大大减少了进一步分析和计算的麻烦。设计的控制器是无延迟的，并且具有时间延迟的术语无需全局限制。在1-范数和2-范数下分别获得了几个确保有限时间A-SYN的充分条件。将证明A-SYN误差在有限时间内从初始值演变为1，并且在有限时间内也从1演化为0，因此证明了有限时间A-SYN，称为两相法。此外，还设计了用于控制强度的自适应规则，以实现有限时间A-SYN。最后，通过数值例子说明了所获得结果的正确性和有效性。