Open AccessInner synchronization of Boolean networks with time delays
Author(s) -
Yi Liang,
Haihui Hu,
Gulnaz Alimjan
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1848/1/012065
Subject(s) - synchronization (alternating current) , boolean network , computer science , state (computer science) , product (mathematics) , boolean model , node (physics) , mathematics , boolean function , topology (electrical circuits) , discrete mathematics , algorithm , combinatorics , engineering , geometry , structural engineering
The model of Boolean networks with time delays is proposed, whose delays are multiple state delays for each node. Inner synchronization problem of the Boolean networks is investigated, and necessary and sufficient condition of synchronization is established based on the semi-tensor product of matrices. Moreover, illustrative examples show the efficiency of the proposed results.