Synchronous Networks Over Finite Fields

被引：7

作者：

Wang, Jin ^{[1
]}

Feng, Jun-e ^{[1
]}

Yu, Yongyuan ^{[1
]}

Huang, Hua-Lin ^{[2
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

[2] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 11期

关键词：

Boolean network; finite field; graph theory; synchronous network; CONSENSUS NETWORKS; TIME-DELAYS; SYNCHRONIZATION; SYSTEMS;

D O I：

10.1109/TAC.2023.3243051

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：6907 / 6912

页数：6

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