Pinning Stabilization of Stochastic Networks With Finite States via Controlling Minimal Nodes

被引：12
|
作者：
Liu, Yang [1 ]
Wang, Liqing [1 ]
Lu, Jianquan [2 ]
Yu, Li [3 ]
机构：
[1] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China
[2] Southeast Univ, Sch Math, Dept Syst Sci, Nanjing 210096, Peoples R China
[3] Zhejiang Univ Technol, Dept Automat, Hangzhou 310023, Peoples R China
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2022年 / 52卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Minimal nodes; pinning control; probabilistic logical networks (PLNs); semitensor product (STP); stabilization; BOOLEAN NETWORKS; FEEDBACK STABILIZATION; OBSERVABILITY;
D O I：
10.1109/TCYB.2020.3002888
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 control has been applied to stabilize a kind of stochastic network with finite states called probabilistic logical networks (PLNs). First, the solvability of pinning controllers, including the selection of pinning nodes and the corresponding control design, is addressed to guarantee the stabilization of PLNs. Then, based on the complete matrices set, one necessary and sufficient condition is obtained for PLNs to be stabilized by exact p nodes. In addition, an algorithm is presented for obtaining the minimal number of pinning nodes and how exact they are. As an application, our algorithm is used to calculate the minimal number of pinning nodes for the stabilization of logical networks (LNs). Examples are given to illustrate the process of choosing pinning nodes and show the efficiency of the obtained results.
引用
收藏
页码：2361 / 2369
页数：9
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