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A note on observability of Boolean control networks
Cheng, Daizhan1,2; Qi, Hongsheng1; Liu, Ting1; Wang, Yuanhua2
2016
Source PublicationSYSTEMS & CONTROL LETTERS
ISSN0167-6911
Volume87Pages:76-82
AbstractThe 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.
KeywordBoolean control network Observability matrix Row degree Distinguishable index Semi-tensor product
DOI10.1016/j.sysconle.2015.11.004
Language英语
Funding ProjectNational 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 AreaAutomation & Control Systems ; Operations Research & Management Science
WOS SubjectAutomation & Control Systems ; Operations Research & Management Science
WOS IDWOS:000368966300011
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:36[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21898
Collection系统科学研究所
Affiliation1.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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