A note on observability of Boolean control networks

doi:10.1016/j.sysconle.2015.11.004

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	A note on observability of Boolean control networks
	Cheng, Daizhan1,2 ; Qi, Hongsheng1 ; Liu, Ting 1; Wang, Yuanhua 2
	2016
发表期刊	SYSTEMS & CONTROL LETTERS
ISSN	0167-6911
卷号	87 页码:76-82
摘要	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.
关键词	Boolean control network Observability matrix Row degree Distinguishable index Semi-tensor product
DOI	10.1016/j.sysconle.2015.11.004
语种	英语
资助项目	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研究方向	Automation & Control Systems ; Operations Research & Management Science
WOS类目	Automation & Control Systems ; Operations Research & Management Science
WOS记录号	WOS:000368966300011
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21898
专题	系统科学研究所
通讯作者	Cheng, Daizhan
作者单位	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
推荐引用方式 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.