In this paper, we discuss the quasi-synchronization of delayed heterogeneous dynamic neural networks based on impulsive control. The main difference of this paper with previous works on quasi-synchronization is that both proportional delay and distributed delay are considered. By establishing a novel impulsive delay inequality, combining Lyapunov theory and the concept of average impulsive interval, some necessary items for quasi-synchronization of delayed heterogeneous dynamic neural networks are obtained. Moreover, through using the generalized formulae for the variation of proportional and distributed delay parameters, the theoretical error bounded of quasi-synchronization is estimated. Finally, numerical examples are listed to explain the validity of our results.

在本文中，我们讨论了基于脉冲控制的时滞异构动态神经网络的准同步。本文与以前的准同步工作的主要区别在于，同时考虑了比例延迟和分布式延迟。通过建立一个新的脉冲时滞不等式，结合李雅普诺夫理论和平均脉冲时间间隔的概念，获得了延迟异构动态神经网络的准同步的一些必要条件。此外，通过使用广义公式来改变比例和分布延迟参数，估计了准同步的理论误差范围。最后，列举了一些数字示例来说明我们的结果的有效性。