In this paper, the fixed-time synchronization of complex-valued memristor-based neural networks with impulsive effects is investigated. We first separate these complex-valued networks into real and imaginary parts, and design the appropriate controllers. Then apply the set-valued map and the differential inclusion theorem to handle the discontinuity problems at the right-hand side of the drive-response systems. By constructing the comparison systems together with the Lyapunov function, we get the fixed-time synchronization conditions. Moreover, the estimate of the settling time is also explicitly obtained. Finally, two examples and their numerical simulations are presented to show the effectiveness of the obtained theoretical results.

本文研究了具有脉冲效应的基于复值忆阻器的神经网络的固定时间同步。我们首先将这些复数值网络分为实部和虚部，然后设计适当的控制器。然后应用集值映射和微分包含定理来处理驱动响应系统右侧的不连续性问题。通过与Lyapunov函数一起构建比较系统，我们得到了固定时间的同步条件。此外，还可以明确获得建立时间的估算值。最后，给出了两个例子及其数值模拟，以证明所获得理论结果的有效性。