Synchronous Networks Over Finite Fields

被引：5

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

共 34 条

[1] Alman J, 2021, Disc Algorithms, P522
[2] Synchronization in complex networks
Arenas, Alex
Diaz-Guilera, Albert
Kurths, Jurgen
Moreno, Yamir
Zhou, Changsong
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2008, 469 (03): : 93 - 153
[3] AN OVERVIEW OF SYSTEMS STUDIES OF AUTOMATED HIGHWAY SYSTEMS
BENDER, JG
[J]. IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 1991, 40 (01) : 82 - 99
[4] Synchronization of Arbitrarily Switched Boolean Networks
Chen, Hongwei
Liang, Jinling
Huang, Tingwen
Cao, Jinde
[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2017, 28 (03) : 612 - 619
[5] A Linear Representation of Dynamics of Boolean Networks
Cheng, Daizhan
Qi, Hongsheng
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (10) : 2251 - 2258
[6] Chi X. B., 1998, J. Numer. Methods Comput. Appl., V19, P28
[7] Multi-Agent Systems: A Survey
Dorri, Ali
Kanhere, Salil S.
Jurdak, Raja
[J]. IEEE ACCESS, 2018, 6 : 28573 - 28593
[8] Information flow and cooperative control of vehicle formations
Fax, JA
Murray, RM
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) : 1465 - 1476
[9] Finding cycles in synchronous Boolean networks with applications to biochemical systems
Heidel, J
Maloney, J
Farrow, C
Rogers, JA
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (03): : 535 - 552
[10] Holland B, 2003, LECT N BIOINFORMAT, V2812, P165

← 1 2 3 4 →