Set stability for switched Boolean networks with open-loop and closed-loop switching signals

被引：0

作者：

Xiaohua LI ^{[1
,2
]}

Jianquan LU ^{[3
]}

Jianlong QIU ^{[1
]}

Xiangyong CHEN ^{[1
,3
]}

Xiaodi LI ^{[2
]}

Fuad E.ALSAADI ^{[4
]}

机构：

[1] School of Automation and Engineering and Key Laboratory of Complex Systems and Intelligent Computing in Universities of Shandong, Linyi University

[2] School of Mathematics and Statistics, Shandong Normal University

[3] School of Mathematics, Southeast University

[4] Department of Electrical and Computer Engineering, King Abdulaziz University

来源：

Science China(Information Sciences) | 2018年 / 61卷 / 09期

基金：

中国国家自然科学基金;

关键词：

switched Boolean network; set stability; semi-tensor product; switching signal design;

D O I：

暂无

中图分类号：

O157.5 [图论]; O231 [控制论（控制论的数学理论）];

学科分类号：

070104 ; 070105 ; 0711 ; 071101 ; 0811 ; 081101 ;

摘要：

This paper mainly analyzes the set stability of switched Boolean networks(SBNs) by considering two different methods of switching signals in the form of open-loop and closed-loop switching. First, the definitions of set stability are proposed for SBNs with such switching signals. Then, we propose two different algorithms to find the largest open-loop switching invariant set and largest closed-loop switching invariant set. Furthermore, the corresponding set stability conditions for SBNs are given in each case. In addition,the constructive procedures are presented to design the switching signal sequence to achieve set stability under the two different methods of switching signals. Finally, the effectiveness of the proposed algorithms and research results are demonstrated using two numerical examples.

引用

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页码：232 / 240

页数：9

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