Function perturbations on singular Boolean networks

被引：113
|
作者：
Liu, Yang [1 ,2 ]
Li, Bowen [1 ]
Chen, Hongwei [2 ]
Cao, Jinde [2 ,3 ]
机构：
[1] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China
[2] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[3] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Shandong, Peoples R China
来源：
AUTOMATICA | 2017年 / 84卷
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Singular Boolean network; Function perturbation; Topological structure; Local uniqueness;
D O I：
10.1016/j.automatica.2017.06.035
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 is devoted to studying function perturbations on the transition matrix and topological structure of a singular Boolean network (SBN) via the semi-tensor product of matrices. First, the algebraic form of an SBN is given, and we discuss how the transition matrix of the SBN changes under function perturbations. Then the local uniqueness of solutions to the SBN is studied, under which the impacts of function perturbations on the topological structure are investigated. Finally, examples are given to show the effectiveness of the obtained results. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：36 / 42
页数：7
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