Set controllability of probabilistic Boolean control networks

被引：0
|
作者：
Gou Z.-L. [1 ]
Xu Y. [1 ]
Wang J.-H. [1 ]
机构：
[1] School of Science, Hebei University of Technology, Tianjin
来源：
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2021年 / 38卷 / 05期
关键词：
Probabilistic Boolean control networks; Semi-tensor product; Set controllability;
D O I：
10.7641/CTA.2020.00457
中图分类号：
学科分类号：
摘要：
In this paper, the set controllability of probabilistic Boolean control networks (PBCNs) is studied. Firstly, by using semi-tensor product of matrices, the algebraic representation of PBCNs is obtained. Secondly, different controllable matrices are constructed by means of a new operator, then the set controllability of PBCNs under free control sequence and network input control can be considered with the help of the controllable matrices. The necessary and sufficient conditions for set controllability of PBCNs are obtained. Finally, numerical examples are given to illustrate the effectiveness of the results. © 2021, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.
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页码：689 / 696
页数：7
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