Complete synchronization of coupled Boolean networks with arbitrary finite delays

In this study, the complete synchronization problem of coupled delayed Boolean networks (CDBNs) is investigated. The state delays and output delays may not be equal, and the state delay in each Boolean network may be different in the proposed CDBN model. Based on the semi-tensor product of matrices,...

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Bibliographic Details
Published in:Frontiers of information technology & electronic engineering 2020-02, Vol.21 (2), p.281-293
Main Authors: Liu, Jie, Li, Lulu, Fardoun, Habib M.
Format: Article
Language:English
Subjects:
Algorithms
Boolean
Boolean functions
Communications Engineering
Computer Hardware
Computer Science
Computer Systems Organization and Communication Networks
Electrical Engineering
Electronics and Microelectronics
Information technology
Instrumentation
Networks
Synchronism
Tensors
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Summary:In this study, the complete synchronization problem of coupled delayed Boolean networks (CDBNs) is investigated. The state delays and output delays may not be equal, and the state delay in each Boolean network may be different in the proposed CDBN model. Based on the semi-tensor product of matrices, a necessary and sufficient condition for the complete synchronization of CDBNs is obtained. Then, an efficient algorithm for solving the synchronization of CDBNs is provided. Finally, numerical examples are presented to demonstrate the effectiveness of our algorithm.
ISSN:2095-9184
2095-9230
DOI:10.1631/FITEE.1900438