Partial stability and stabilisation of Boolean networks

被引：22

作者：

Chen, Hong-Wei ^{[1
,2
]}

Sun, Liang-Jie ^{[2
]}

Liu, Yang ^{[2
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing, Jiangsu, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2016年 / 47卷 / 09期

关键词：

Boolean (control) network; partial stability; partial stabilisation; state-feedback control; semi-tensor product of matrices; MISSING MEASUREMENTS; TIME-DELAY; SYSTEMS; CONTROLLABILITY; DYNAMICS; CYCLES;

D O I：

10.1080/00207721.2014.973928

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

080201 [机械制造及其自动化];

摘要：

In this paper, we investigate the stability of Boolean networks and the stabilisation of Boolean control networks with respect to part of the system's states. First, an algebraic expression of the Boolean (control) network is derived by the semi-tensor product of matrices. Then, some necessary and sufficient conditions for partial stability of Boolean networks are given. Finally, the stabilisation of Boolean control networks by a free control sequence and a state-feedback control is investigated and the respective necessary and sufficient conditions are obtained. Examples are provided to illustrate the efficiency of the obtained results.

引用

页码：2119 / 2127

页数：9

共 31 条

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Boolean dynamics of networks with scale-free topology [J].