On detectability of Boolean control networks

doi:10.1016/j.nahs.2020.100859

CSpace

	On detectability of Boolean control networks
	Wang, Biao 1; Feng, Jun-e 1; Li, Haitao 2; Yu, Yongyuan 3
	2020-05-01
发表期刊	NONLINEAR ANALYSIS-HYBRID SYSTEMS
ISSN	1751-570X
卷号	36 页码:18
摘要	This paper introduces the detectability notions and investigates the detectability properties for Boolean networks (BNs) and Boolean control networks (BCNs). A BN (BCN) possesses the property of detectability if the current state can be determined by limited observed data. According to different situations, three types of detectabilities are defined: strong detectability, detectability and weak detectability. Firstly, using the semi-tensor product of matrices, the BCN is written as an equivalent algebraic expression, which is called the data form. Secondly, some criterion and detection algorithms are provided for checking detectabilities via this novel form. Thirdly, four types of properties: stability, stabilizability, observability and detectability, are compared and analyzed, and then their relationships are clearly described in two diagrams, which provide a new perspective to analyze the characterization of BNs and BCNs. Finally, for better presentation, two practical examples are presented to show the effectiveness of the obtained new results. (c) 2020 Elsevier Ltd. All rights reserved.
关键词	Boolean control networks Detectability Observability Semi-tensor product
DOI	10.1016/j.nahs.2020.100859
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation (NNSF) of China[61773371] ; National Natural Science Foundation (NNSF) of China[61877036] ; Natural Science Foundation of Shandong Province, China[ZR2019MF002]
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000528828600034
出版者	ELSEVIER SCI LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51394
专题	中国科学院数学与系统科学研究院
通讯作者	Feng, Jun-e
作者单位	1.Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China 2.Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Biao,Feng, Jun-e,Li, Haitao,et al. On detectability of Boolean control networks[J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS,2020,36:18.
APA	Wang, Biao,Feng, Jun-e,Li, Haitao,&Yu, Yongyuan.(2020).On detectability of Boolean control networks.NONLINEAR ANALYSIS-HYBRID SYSTEMS,36,18.
MLA	Wang, Biao,et al."On detectability of Boolean control networks".NONLINEAR ANALYSIS-HYBRID SYSTEMS 36(2020):18.