Further Results for Pinning Stabilization of Boolean Networks

被引：16
|
作者：
Jia, Guangyu [1 ,2 ]
Meng, Min [3 ,4 ]
Lam, James [5 ]
Feng, Jun-E [6 ]
机构：
[1] Univ Hong Kong, Hong Kong, Peoples R China
[2] Kings Coll London, Ctr Robot Res, Dept Engn, London WC2R 2LS, England
[3] Tongji Univ, Dept Control Sci & Engn, Shanghai 200092, Peoples R China
[4] Tongji Univ, Shanghai Res Inst Intelligent Autonomous Syst, Shanghai 200092, Peoples R China
[5] Univ Hong Kong, Dept Mech Engn, Hong Kong, Peoples R China
[6] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
来源：
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS | 2021年 / 8卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Boolean networks; global stability; pinning control; semi-tensor product (STP); CONTROL DESIGN; FEEDBACK STABILIZATION; STABILITY; CONTROLLABILITY; OBSERVABILITY;
D O I：
10.1109/TCNS.2020.3019763
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 article, pinning stabilization of Boolean networks is further investigated based on semi-tensor product of matrices. First, two novel algorithms are devised to obtain a globally stable Boolean network from new perspectives. One of the two algorithms is to find a globally stable Boolean network by altering the columns of the transition matrix, and the other one aims to apply a perturbation method to find the smallest number of pinning nodes, on which the controls are placed to ensure the global stability of the controlled networks. Then, all the required pinning controllers can be designed. Examples are given to illustrate the effectiveness of the obtained results.
引用
收藏
页码：897 / 905
页数：9
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