Observability of Boolean control networks

被引：78

作者：

Zhu, Qunxi ^{[1
,2
]}

Liu, Yang ^{[1
,3
]}

Lu, Jianquan ^{[3
]}

Cao, Jinde ^{[3
,4
]}

机构：

[1] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China

[2] Fudan Univ, Coll Math Sci, Shanghai 200433, Peoples R China

[3] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

[4] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Shandong, Peoples R China

来源：

SCIENCE CHINA-INFORMATION SCIENCES | 2018年 / 61卷 / 09期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Boolean control network; observability; semi-tensor product; STATE-FEEDBACK STABILIZATION; CONTROLLABILITY; DECOMPOSITION;

D O I：

10.1007/s11432-017-9135-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We show some new results on the observability of Boolean control networks (BCNs). First, to study the observability, we combine two BCNs with the same transition matrix into a new BCN. Then, we propose the concept of a reachable set that results in a given set of initial states, and we derive four additional necessary and sufficient conditions for the observability of BCNs. In addition, we present an algorithm and construct an observability graph to determine the observability of BCNs. Finally, we illustrate the obtained results using three numerical examples.

引用

页数：12

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