In this manuscript, the general partial synchronization of a type of drive-response Boolean control networks (BCNs) is proposed for the first time and is addressed by sampled-data feedback control (SDFC). Different from all previous synchronization in the field of BCNs, the general partial generalization requires that the total number of the synchronized nodes exactly maintains at a pre-special value after finite-time step, and it removes the requirement on the anticipated synchronized nodes. To begin with, we define the general partial synchronization of derive-response BCNs based on the Hamming distance of two Boolean vectors. Subsequently, by utilizing the semi-tensor product (STP) of matrices, we obtain a series of criteria for BCNs to achieve general partial synchronization by SDFC. Then, the corresponding SDFC strategy is designed, under which the considered BCNs achieve general partial synchronization. Finally, these results are demonstrated by an illustrative numerical example.

在这篇手稿中，首次提出了一种驱动响应布尔控制网络 (BCN) 的一般部分同步，并通过采样数据反馈控制 (SDFC) 来解决。与BCNs领域以往所有同步不同，一般的部分泛化要求同步节点的总数在有限时间步后精确地保持在一个预先特殊的值，它消除了对预期同步节点的要求。首先，我们根据两个布尔向量的汉明距离定义派生响应 BCN 的一般部分同步。随后，通过利用矩阵的半张量积（STP），我们获得了一系列 BCN 的标准，以通过 SDFC 实现一般的部分同步。然后，设计相应的SDFC策略，在这种情况下，所考虑的 BCN 实现了一般的部分同步。最后，这些结果通过一个说明性的数值例子来证明。