Criteria for Observability and Reconstructibility of Boolean Control Networks via Set Controllability

被引：22

作者：

Zhang, Xiao ^{[1
]}

Meng, Min ^{[2
,3
]}

Wang, Yuanhua ^{[4
]}

Cheng, Daizhan ^{[5
]}

机构：

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

[2] Tongji Univ, Dept Control Sci & Engn, Shanghai 201804, Peoples R China

[3] Tongji Univ, Shanghai Res Inst Intelligent Autonomous Syst, Shanghai 201804, Peoples R China

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

[5] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2021年 / 68卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Controllability; Observability; Indexes; Automata; Circuits and systems; Electronic mail; Computational complexity; Boolean control networks; semi-tensor product of matrices; observability; reconstructibility; set controllability; FEEDBACK STABILIZATION;

D O I：

10.1109/TCSII.2020.3021190

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This brief focuses on observability and recontructibility of Boolean control networks (BCNs) via the semi-tensor product of matrices. To solve the problems, for a given BCN, an augmented BCN is constructed. By partitioning the state-space of the augmented BCN, observability and recontructibility of the given BCN are equivalently converted to set controllability of the augmented BCN. Using the set controllability approach, criteria for observability and recontructibility of BCNs are obtained respectively. Compared with the existing results, the criteria proposed in this brief are easy to check. The effectiveness of the results is verified both theoretically through mathematical derivations and practically by an illustrative example.

引用

页码：1263 / 1267

页数：5

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