On detectability of Boolean control networks
文献类型：期刊论文
| 作者 | Wang, Biao1; Feng, Jun-e1; Li, Haitao2; Yu, Yongyuan3 |
| 刊名 | NONLINEAR ANALYSIS-HYBRID SYSTEMS
 |
| 出版日期 | 2020-05-01 |
| 卷号 | 36页码:18 |
| 关键词 | Boolean control networks Detectability Observability Semi-tensor product |
| ISSN号 | 1751-570X |
| DOI | 10.1016/j.nahs.2020.100859 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000528828600034 |
| 出版者 | ELSEVIER SCI LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51393]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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