Synchronous Networks Over Finite Fields
Synchronous Networks Over Finite Fields
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DOI：
10.1109/tac.2023.3243051
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发表时间：
2023-11
影响因子：
6.8
通讯作者：
Jin Wang;Jun‐e Feng;Yongyuan Yu;Hua-Lin Huang
中科院分区：
文献类型：
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作者：
Jin Wang;Jun‐e Feng;Yongyuan Yu;Hua-Lin Huang
本文研究有限域上网络的同步问题。首先，基于矩阵的有限域可同步性，给出了有限域同步网络的一个充要条件。然后，研究了有限域上网络的逆递归子空间。结果表明，有限场网络的同步可以由一小部分状态决定。最后，作为应用，将所得结果推广到一类布尔网络。
This article investigates the synchronization problem of networks over finite fields. First, based on the finite-field synchronizable property of matrices, a necessary and sufficient condition is derived for finite-field synchronous networks. Then, the inverse recursion subspaces of networks over finite fields are studied. It is revealed that the synchronization of finite-field networks can be determined by a fraction of states. Finally, as an application, the obtained results are generalized to a class of Boolean networks.