Input-state incidence matrix of Boolean control networks and its applications

doi:10.1016/j.sysconle.2010.09.002

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	Input-state incidence matrix of Boolean control networks and its applications
	Zhao, Yin; Qi, Hongsheng; Cheng, Daizhan
	2010-12-01
发表期刊	SYSTEMS & CONTROL LETTERS
ISSN	0167-6911
卷号	59 期号:12 页码:767-774
摘要	The input-state incidence matrix of a control Boolean network is proposed. It is shown that this matrix contains complete information of the input-state mapping. Using it, an easily verifiable necessary and sufficient condition for the controllability of a Boolean control network is obtained. The corresponding control which drives a point to a given reachable point is designed. Moreover, certain topological properties such as the fixed points and cycles of a Boolean control network are investigated. Then, as another application, a sufficient condition for the observability is presented. Finally, the results are extended to mix-valued logical control systems. (C) 2010 Elsevier B.V. All rights reserved.
关键词	Boolean control network Input-state incidence matrix Reachability Observability Mix-valued logic
DOI	10.1016/j.sysconle.2010.09.002
语种	英语
资助项目	NNSF of China[60736022] ; NNSF of China[60221301] ; NNSF of China[61074114]
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:000288286400004
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/10368
专题	系统科学研究所
通讯作者	Zhao, Yin
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Yin,Qi, Hongsheng,Cheng, Daizhan. Input-state incidence matrix of Boolean control networks and its applications[J]. SYSTEMS & CONTROL LETTERS,2010,59(12):767-774.
APA	Zhao, Yin,Qi, Hongsheng,&Cheng, Daizhan.(2010).Input-state incidence matrix of Boolean control networks and its applications.SYSTEMS & CONTROL LETTERS,59(12),767-774.
MLA	Zhao, Yin,et al."Input-state incidence matrix of Boolean control networks and its applications".SYSTEMS & CONTROL LETTERS 59.12(2010):767-774.