On state feedback asymptotical stabilization of probabilistic Boolean control networks

被引：11
|
作者：
Yang, Xinrong [1 ]
Li, Haitao [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 50014, Shandong, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2022年 / 160卷
基金：
中国国家自然科学基金;
关键词：
Probabilistic Boolean control network; Asymptotical stabilization; Complete family of reachable sets; Semi-tensor product of matrices; CONTROL DESIGN; CONTROLLABILITY; OBSERVABILITY; UNCERTAINTY; MODELS;
D O I：
10.1016/j.sysconle.2021.105107
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article devotes to the design of all state feedback controllers for the asymptotical stabilization of probabilistic Boolean control networks (PBCNs). Firstly, a class of complete family of reachable sets (CFRSs) is constructed. Based on the CFRSs, all possible state feedback controllers are designed to stabilize PBCNs to a given control-fixed point in distribution. Secondly, by removing the finite time stabilizers from the controllers that make PBCNs stabilizable in distribution, all state feedback controllers which asymptotically stabilize PBCNs with probability one are further obtained. Thirdly, the CFRSs are applied to solve the problem of asymptotical set stabilization. Finally, an example of lac operon in the Escherichia coli is given to illustrate the proposed methods. (C)& nbsp;2021 Elsevier B.V. All rights reserved.
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页数：9
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