On Pinning Controllability of Boolean Control Networks

被引：212

作者：

Lu, Jianquan ^{[1
]}

Zhong, Jie ^{[1
]}

Huang, Chi ^{[2
]}

Cao, Jinde ^{[1
]}

机构：

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

[2] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2016年 / 61卷 / 06期

关键词：

Boolean control networks; pinning controllability; semi-tensor product; OBSERVABILITY; MATRIX;

D O I：

10.1109/TAC.2015.2478123

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 technical note presents analytical investigations of reachability and controllability of Boolean control networks (BCNs) with pinning controllers. Based on semi-tensor product (STP) of matrices, BCNs with pinning controllers are converted into a discrete-time algebraic system. A formula is derived to calculate the number of different control sequences steering BCNs between two states in a given step, and then several necessary and sufficient criteria are derived for reachability and controllability of BCNs with pinning controllers. Moreover, we make a comparison among three forms of BCNs, which have similar algebraic representations. Finally, we obtain some efficient conditions to judge the dynamic structure of BCNs.

引用

页码：1658 / 1663

页数：6

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