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Frontiers of Information Technology & Electronic Engineering
ISSN 2095-9184 (print), ISSN 2095-9230 (online)
2020 Vol.21 No.2 P.281-293
Complete synchronization of coupled Boolean networks with arbitrary finite delays
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.
Key words: Boolean networks, Synchronization, Time delay
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。
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DOI:
10.1631/FITEE.1900438
CLC number:
O233
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On-line Access:
2020-03-04
Received:
2019-08-26
Revision Accepted:
2019-10-09
Crosschecked:
2019-12-13