Singular Boolean networks:Semi-tensor product approach

被引：0
|
作者：
FENG JunE [1 ]
YAO Juan [1 ]
CUI Peng [2 ]
机构：
[1] School of Mathematics, Shandong University
[2] School of Control Science and Engineering, Shandong University
来源：
ScienceChina(InformationSciences) | 2013年 / 56卷 / 11期
基金：
中国国家自然科学基金;
关键词：
admissible initial value; normalization problem; semi-tensor product; singular Boolean network;
D O I：
暂无
中图分类号：
O151.21 [矩阵论];
学科分类号：
摘要：
Singular Boolean networks are introduced in this paper.Via semi-tensor product of matrices and the matrix expression of logical functions,two kinds of the condensed algebraic expressions of singular Boolean networks are obtained.The normalization problem of singular Boolean networks is addressed;that is,under what condition singular Boolean networks can be converted into normal Boolean networks with algebraic restrictions.Then one sufcient condition and one necessary and sufcient condition are derived for the normalization problem.Furthermore,the solvability of singular Boolean networks is discussed and the concept of admissible initial values of singular Boolean networks is presented.Finally,fxed points and cycles of singular Boolean networks are also investigated.
引用
收藏
页码：265 / 278
页数：14
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