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Frontiers of Information Technology & Electronic Engineering >> 2020, Volume 21, Issue 2 doi: 10.1631/FITEE.1900438

Complete synchronization of coupled Boolean networks with arbitrary finite delays

1. School of Mathematics, Hefei University of Technology, Hefei 230009, China
2. Department of Information Systems, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Available online: 2020-04-01

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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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