Complete synchronization of coupled Boolean networks with arbitrary finite delays

Jie LIU; Lulu LI; HabibM. FARDOUN

doi:10.1631/FITEE.1900438

Front. Inform. Technol. Electron. Eng ›› 2020, Vol. 21 ›› Issue (2) : 281 -293. DOI: 10.1631/FITEE.1900438

Orginal Article

Complete synchronization of coupled Boolean networks with arbitrary finite delays

Jie LIU ¹^,^†
, Lulu LI ¹^,^†
, HabibM. FARDOUN ²^,^†

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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.

Keywords

Boolean networks / Synchronization / Time delay

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Jie LIU, Lulu LI, HabibM. FARDOUN. Complete synchronization of coupled Boolean networks with arbitrary finite delays. Front. Inform. Technol. Electron. Eng, 2020, 21(2): 281-293 DOI:10.1631/FITEE.1900438