Synchronous Networks Over Finite Fields
Jin Wang, Jun‐e Feng, Yongyuan Yu, Hua-Lin Huang · IEEE Transactions on Automatic Control · 2023
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.