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Frontiers of Information Technology & Electronic Engineering

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Complete synchronization of coupled Boolean networks with arbitrary finite delays

Author(s): Jie Liu, Lulu Li, Habib M. Fardoun
Affiliation(s): School of Mathematics, Hefei University of Technology, Hefei 230009, China; more
Corresponding email(s): PYSF_JL@163.com, lululima@hfut.edu.cn, hfardoun@kau.edu.sa
Key Words: Boolean networks, Synchronization, Time delay

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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,in press.https://doi.org/10.1631/FITEE.1900438

@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",
year="in press",
publisher="Zhejiang University Press & Springer",
doi="https://doi.org/10.1631/FITEE.1900438"
}

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%A Jie Liu
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%I Zhejiang University Press & Springer
doi="https://doi.org/10.1631/FITEE.1900438"

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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
SP - 281
EP - 293
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Y1 - in press
PB - Zhejiang University Press & Springer
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doi="https://doi.org/10.1631/FITEE.1900438"

Abstract
Chinese Summary
Academic Network
Reviewer Comment

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.

具有任意有限延迟耦合布尔网络的完全同步

刘杰¹，李露露¹，Habib M. FARDOUN²
¹合肥工业大学数学学院，中国合肥市，230009
²阿卜杜勒阿齐兹国王大学计算与信息技术学院，沙特阿拉伯吉达，21589

摘要：研究耦合延迟布尔网络完全同步性问题。文中所讨论的耦合延迟布尔网络模型中，状态延迟和输出延迟可能不相等，并且每个布尔网络中的状态延迟也可能不相等。基于矩阵半张量积获得耦合延迟布尔网络达到完全同步的充要条件。提供解决耦合延迟布尔网络完全同步性的有效算法。最后，通过数值算例说明该算法的有效性。

关键词组：布尔网络；同步性；时滞

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具有任意有限延迟耦合布尔网络的完全同步

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