System decomposition with respect to inputs for Boolean control networks

被引：96
|
作者：
Zou, Yunlei [1 ]
Zhu, Jiandong [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Jiangsu, Peoples R China
来源：
AUTOMATICA | 2014年 / 50卷 / 04期
关键词：
Boolean control networks; System decomposition; Normal controllable form; Semi-tensor product; Perfect equal vertex partition; Vertex set uniting algorithm; CONTROLLABILITY; OBSERVABILITY; SYNCHRONIZATION;
D O I：
10.1016/j.automatica.2014.02.039
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problem of system decomposition with respect to inputs is investigated for Boolean control networks (BCNs). First, based on the linear representation of BCNs, some algebraic equivalent conditions for the decomposability are obtained. Second, the concept of perfect equal vertex partition (PEVP) is proposed for BCNs. A necessary and sufficient graphical condition for the decomposability, i.e. the existence of a PEVP, is proposed. Third, for calculating a PEVP, an algorithm called Vertex Set Uniting Algorithm (VSUA) is designed. Finally, a biological example is analyzed to show the effectiveness of the proposed method. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1304 / 1309
页数：6
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