KMS Of Academy of mathematics and systems sciences, CAS
A note on observability of Boolean control networks | |
Cheng, Daizhan1,2; Qi, Hongsheng1; Liu, Ting1; Wang, Yuanhua2 | |
2016 | |
Source Publication | SYSTEMS & CONTROL LETTERS |
ISSN | 0167-6911 |
Volume | 87Pages:76-82 |
Abstract | The observability of Boolean control networks is investigated. The pairs of states are classified into three classes: (i) diagonal, (ii) h-distinguishable, and (iii) h-indistinguishable. For h-indistinguishable pairs, we construct a matrix W called the transferable matrix, which indicates the control-transferability among h-indistinguishable pairs. Modifying W yields a Boolean matrix u(0), which is used as the initial matrix for an iterative algorithm. After finite iterations a stable u* is reached, which is called the observability matrix. It is proved that a Boolean control network is observable, if and only if, the last column of u*, Col(r+1) (u*) = 1(r). Some numerical examples are presented. (C) 2015 Elsevier B.V. All rights reserved. |
Keyword | Boolean control network Observability matrix Row degree Distinguishable index Semi-tensor product |
DOI | 10.1016/j.sysconle.2015.11.004 |
Language | 英语 |
Funding Project | National Natural Science Foundation (NNSF) of China[61273013] ; National Natural Science Foundation (NNSF) of China[61333001] ; National Natural Science Foundation (NNSF) of China[61104065] |
WOS Research Area | Automation & Control Systems ; Operations Research & Management Science |
WOS Subject | Automation & Control Systems ; Operations Research & Management Science |
WOS ID | WOS:000368966300011 |
Publisher | ELSEVIER SCIENCE BV |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/21898 |
Collection | 系统科学研究所 |
Corresponding Author | Cheng, Daizhan |
Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China |
Recommended Citation GB/T 7714 | Cheng, Daizhan,Qi, Hongsheng,Liu, Ting,et al. A note on observability of Boolean control networks[J]. SYSTEMS & CONTROL LETTERS,2016,87:76-82. |
APA | Cheng, Daizhan,Qi, Hongsheng,Liu, Ting,&Wang, Yuanhua.(2016).A note on observability of Boolean control networks.SYSTEMS & CONTROL LETTERS,87,76-82. |
MLA | Cheng, Daizhan,et al."A note on observability of Boolean control networks".SYSTEMS & CONTROL LETTERS 87(2016):76-82. |
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