SOME NECESSARY AND SUFFICIENT CONDITIONS FOR THE OUTPUT CONTROLLABILITY OF TEMPORAL BOOLEAN CONTROL NETWORKS

被引：73
作者：
Liu, Yang [1 ]
Lu, Jianquan [2 ]
Wu, Bo [3 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[3] Zhejiang Normal Univ, Acad Affairs Div, Jinhua 321004, Peoples R China
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2014年 / 20卷 / 01期
关键词：
Temporal Boolean (control) network; semi-tensor product; output controllability; time delay; GENETIC REGULATORY NETWORKS; OBSERVABILITY; STABILITY; DELAY; SYSTEMS;
D O I：
10.1051/cocv/2013059
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 investigates the output controllability problem of temporal Boolean networks with inputs (control nodes) and outputs (controlled nodes). A temporal Boolean network is a logical dynamic system describing cellular networks with time delays. Using semi-tensor product of matrices, the temporal Boolean networks can be converted into discrete time linear dynamic systems. Some necessary and sufficient conditions on the output controllability via two kinds of inputs are obtained by providing corresponding reachable sets. Two examples are given to illustrate the obtained results.
引用
收藏
页码：158 / 173
页数：16
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