Observability of Boolean Control Networks: A Unified Approach Based on Finite Automata | |
Zhang, Kuize1,2; Zhang, Lijun1,3 | |
刊名 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL |
2016-09-01 | |
卷号 | 61期号:9页码:2733-2738 |
关键词 | Boolean control network finite automaton formal language observability semi-tensor product of matrices weighted pair graph |
ISSN号 | 0018-9286 |
DOI | 10.1109/TAC.2015.2501365 |
英文摘要 | The problem on how to determine the observability of Boolean control networks (BCNs) has been open for five years already. In this technical note, we propose a unified approach to determine all the four types of observability of BCNs in the literature. We define the concept of weighted pair graphs for BCNs. In the sense of each observability, we use the so-called weighted pair graph to transform a BCN to a finite automaton, and then we use the automaton to determine observability. In particular, the two types of observability that rely on initial states and inputs in the literature are determined. Finally, we show that no pairs of the four types of observability are equivalent, which reveals the essence of nonlinearity of BCNs. |
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 | Automation & Control Systems ; Engineering |
语种 | 英语 |
出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
WOS记录号 | WOS:000382686800049 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23611] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Zhang, Kuize |
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. Observability of Boolean Control Networks: A Unified Approach Based on Finite Automata[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2016,61(9):2733-2738. |
APA | Zhang, Kuize,&Zhang, Lijun.(2016).Observability of Boolean Control Networks: A Unified Approach Based on Finite Automata.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,61(9),2733-2738. |
MLA | Zhang, Kuize,et al."Observability of Boolean Control Networks: A Unified Approach Based on Finite Automata".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 61.9(2016):2733-2738. |
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