Controllability of probabilistic Boolean control networks with time-variant delays in states

doi:10.1007/s11432-015-5423-6

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	Controllability of probabilistic Boolean control networks with time-variant delays in states
	Zhang, Kuize 1,2; Zhang, Lijun 1,3
	2016-09-01
发表期刊	SCIENCE CHINA-INFORMATION SCIENCES
ISSN	1674-733X
卷号	59 期号:9 页码:10
摘要	This paper investigates the controllability of probabilistic Boolean control networks (PBCNs) with time-variant delays in states. By cutting the time sequence, we split the network into at most countably infinitely many subnetworks with no delays, where any one of the longest subnetworks is called a controllability constructed path (CCP). When the CCP is of infinite length, we prove that the network is controllable iff any CCP is controllable, and give an equivalent condition for the controllability of the network. When it is of finite length, we give a necessary condition and a sufficient condition for the controllability of the network, and show that the controllability of the network is not equivalent to the controllability of a CCP.
关键词	probabilistic Boolean control network time delay controllability constructed path semi-tensor product of matrices controllability
DOI	10.1007/s11432-015-5423-6
语种	英语
资助项目	National Natural Science Foundation of China[61573288] ; Program for New Century Excellent Talents in University of Ministry of Education of China
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems
WOS记录号	WOS:000389031000008
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24172
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Kuize; Zhang, Lijun
作者单位	1.Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100190, Peoples R China 3.Northwestern Polytech Univ, Sch Marine Sci & Technol, Xian 710072, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Kuize,Zhang, Lijun. Controllability of probabilistic Boolean control networks with time-variant delays in states[J]. SCIENCE CHINA-INFORMATION SCIENCES,2016,59(9):10.
APA	Zhang, Kuize,&Zhang, Lijun.(2016).Controllability of probabilistic Boolean control networks with time-variant delays in states.SCIENCE CHINA-INFORMATION SCIENCES,59(9),10.
MLA	Zhang, Kuize,et al."Controllability of probabilistic Boolean control networks with time-variant delays in states".SCIENCE CHINA-INFORMATION SCIENCES 59.9(2016):10.