Partial Synchronization of Interconnected Boolean Networks

被引：71

作者：

Chen, Hongwei ^{[1
]}

Liang, Jinling ^{[1
]}

Lu, Jianquan ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

来源：

IEEE TRANSACTIONS ON CYBERNETICS | 2017年 / 47卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Adjacency matrix; Boolean networks (BNs); partial synchronization; semi-tensor product (STP); DIFFUSION NEURAL-NETWORKS; COMPLEX NETWORKS; STABILITY; SYSTEMS; ARRAY;

D O I：

10.1109/TCYB.2015.2513068

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 paper addresses the partial synchronization problem for the interconnected Boolean networks (BNs) via the semi-tensor product (STP) of matrices. First, based on an algebraic state space representation of BNs, a necessary and sufficient criterion is presented to ensure the partial synchronization of the interconnected BNs. Second, by defining an induced digraph of the partial synchronized states set, an equivalent graphical description for the partial synchronization of the interconnected BNs is established. Consequently, the second partial synchronization criterion is derived in terms of adjacency matrix of the induced digraph. Finally, two examples (including an epigenetic model) are provided to illustrate the efficiency of the obtained results.

引用

页码：258 / 266

页数：9

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