Asymptotical Stabilization for Probabilistic Boolean Control Networks Under Operators and Inputs Constraints

被引：17

作者：

Zhong, Jie ^{[1
]}

Pan, Qinyao ^{[1
]}

Xu, Wenying ^{[2
]}

Liu, Yang ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Peoples R China

[2] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Asymptotical stabilization; Boolean networks (BNs); inputs constraints; operators constraints; pinning control; STABILITY; DESIGN; CONTROLLABILITY; OBSERVABILITY; EXPRESSION;

D O I：

10.1109/TAC.2022.3203019

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, asymptotical stabilization of probabilistic Boolean control networks with a switching signal being an independent identically distributed process has been systematically studied. Here, the binary operators connecting logical functions of state nodes and pinning controllers are constrained to certain sets. By establishing matrix representation of operators and input constraints, several criteria for asymptotical stabilization have been established. The proposed asymptotical stabilization extends the results of Boolean networks under static pinning control, which is more practical in real-word control design systems. Finally, simulations are given to verify the effectiveness of the obtained theoretical results.

引用

页码：4313 / 4320

页数：8

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