Stability and Pinning Stabilization of Markovian Jump Boolean Networks

被引：8
|
作者：
Meng, Min [1 ,2 ]
Li, Li [1 ,2 ]
机构：
[1] Tongji Univ, Coll Elect & Informat Engn, Dept Control Sci & Engn, Shanghai 200092, Peoples R China
[2] Tongji Univ, Shanghai Res Inst Intelligent Autonomous Syst, Shanghai 200092, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2022年 / 69卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Circuits and systems; Boolean functions; Switches; Stability criteria; Circuit stability; Symbols; Mathematical models; Boolean control networks; semi-tensor product; pinning stabilization; Markovian jump Boolean networks; SYNCHRONIZATION;
D O I：
10.1109/TCSII.2022.3168274
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This brief investigates stability and pinning stabilization of Markovian jump Boolean networks (MJBNs) based on semi-tensor product of matrices. New stability conditions for MJBNs are obtained directly by the algebraic expression of MJBNs, which lays a foundation for pinning control of MJBNs. Then, two algorithms are devised, one of which can get a stochastically stable MJBN easily and the other one generates a set of pinning nodes with the smallest cardinality. Moreover, all the feasible pinning controllers can be designed by solving a group of matrix equations. Illustrative examples are presented to show the effectiveness of the obtained results.
引用
收藏
页码：3565 / 3569
页数：5
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