Further results on feedback stabilization control design of Boolean control networks

被引：88

作者：

Li, Haitao ^{[1
,2
]}

Wang, Yuzhen ^{[3
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China

[2] Shandong Normal Univ, Inst Data Sci & Technol, Jinan 250014, Shandong, Peoples R China

[3] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China

来源：

AUTOMATICA | 2017年 / 83卷

基金：

中国国家自然科学基金;

关键词：

Boolean control network; Feedback stabilization; Control design; Complete family of reachable sets; Semi-tensor product of matrices; CONTROLLABILITY; STABILITY;

D O I：

10.1016/j.automatica.2017.06.043

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 paper investigates designing all possible feedback stabilizers for Boolean control networks (BCNs). Some new results on the feedback stabilization control design of BCNs are presented. The main tool used in the paper is the semi-tensor product of matrices. First, the complete family of reachable sets is defined for BCNs. Then it is shown that all the complete families of reachable sets determine all possible state feedback stabilizers. Second, using all the complete families of reachable sets, all possible state feedback stabilizers are obtained. Third, a necessary and sufficient condition is obtained for the existence of output feedback stabilizers. Based on this condition, all possible output feedback stabilizers are designed for BCNs. Finally, the obtained new results are applied to the regulation of the lactose operon in Escherichia coli. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：303 / 308

页数：6

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