Synchronous Networks Over Finite Fields

• 成果类型: Article
• 署名作者: Wang, Jin; Feng, Jun-e; Yu, Yongyuan; Huang, Hua-Lin
• 署名单位: Shandong University; Huaqiao University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3243051
• 发表日期: 2023
• 页码: 6907-6912
• 关键词: Boolean network; finite field; graph theory; synchronous network.

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.