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
收藏
页码：1658 / 1663
页数：6
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