This paper studies the delay partial synchronization for mutual delay-coupled Boolean networks. First, the mutual delay-coupled Boolean network model is presented. Second, some necessary and sufficient conditions are derived to ensure the delay partial synchronization of the mutual delay-coupled Boolean networks. The upper bound of synchronization time is obtained. Finally, an example is provided to illustrate the efficiency of the theoretical analysis.

中文翻译：

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互延迟耦合布尔网络的延迟部分同步

本文研究了互延迟耦合布尔网络的延迟部分同步问题。首先，提出了相互延迟耦合的布尔网络模型。其次，推导出一些充分必要条件，以保证相互延迟耦合的布尔网络的延迟部分同步。得到同步时间的上限。最后，通过一个例子来说明理论分析的有效性。