On the periodic trajectories of Boolean control networks

被引：143

作者：

Fornasini, Ettore ^{[1
]}

Valcher, Maria Elena ^{[1
]}

机构：

[1] Univ Padua, Dip Ingn Informaz, I-35131 Padua, Italy

来源：

AUTOMATICA | 2013年 / 49卷 / 05期

关键词：

Boolean logic; Boolean control networks; Directed graphs; Feedback stabilization; Limit cycles; Stabilizability; STABILITY;

D O I：

10.1016/j.automatica.2013.02.027

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 note we first characterize the periodic trajectories (or, equivalently, the limit cycles) of a Boolean network, and their global attractiveness. We then investigate under which conditions all the trajectories of a Boolean control network may be forced to converge to the same periodic trajectory. If every trajectory can be driven to such a periodic trajectory, this is possible by means of a feedback control law. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1506 / 1509

页数：4

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