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CLC number: O233
On-line Access: 2020-03-04
Received: 2019-08-26
Revision Accepted: 2019-10-09
Crosschecked: 2019-12-13
Cited: 0
Clicked: 4963
Citations: Bibtex RefMan EndNote GB/T7714
Complete synchronization of coupled Boolean networks with arbitrary finite delays
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Jie Liu, Lulu Li, Habib M. Fardoun. Complete synchronization of coupled Boolean networks with arbitrary finite delays[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(2): 281-293.
@article{title="Complete synchronization of coupled Boolean networks with arbitrary finite delays",
author="Jie Liu, Lulu Li, Habib M. Fardoun",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="21",
number="2",
pages="281-293",
year="2020",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1900438"
}
%0 Journal Article
%T Complete synchronization of coupled Boolean networks with arbitrary finite delays
%A Jie Liu
%A Lulu Li
%A Habib M. Fardoun
%J Frontiers of Information Technology & Electronic Engineering
%V 21
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%P 281-293
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%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1900438
TY - JOUR
T1 - Complete synchronization of coupled Boolean networks with arbitrary finite delays
A1 - Jie Liu
A1 - Lulu Li
A1 - Habib M. Fardoun
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 21
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SP - 281
EP - 293
%@ 2095-9184
Y1 - 2020
PB - Zhejiang University Press & Springer
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DOI - 10.1631/FITEE.1900438
Abstract: 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.
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