Synchronization Analysis of Master-Slave Probabilistic Boolean Networks

Scientific Reports
Jianquan LuJinde Cao

Abstract

In this paper, we analyze the synchronization problem of master-slave probabilistic Boolean networks (PBNs). The master Boolean network (BN) is a deterministic BN, while the slave BN is determined by a series of possible logical functions with certain probability at each discrete time point. In this paper, we firstly define the synchronization of master-slave PBNs with probability one, and then we investigate synchronization with probability one. By resorting to new approach called semi-tensor product (STP), the master-slave PBNs are expressed in equivalent algebraic forms. Based on the algebraic form, some necessary and sufficient criteria are derived to guarantee synchronization with probability one. Further, we study the synchronization of master-slave PBNs in probability. Synchronization in probability implies that for any initial states, the master BN can be synchronized by the slave BN with certain probability, while synchronization with probability one implies that master BN can be synchronized by the slave BN with probability one. Based on the equivalent algebraic form, some efficient conditions are derived to guarantee synchronization in probability. Finally, several numerical examples are presented to show the effecti...Continue Reading

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Citations

Feb 19, 2016·Neural Computation·Yang LiuJianquan Lu
Feb 2, 2016·Neural Networks : the Official Journal of the International Neural Network Society·Lulu LiJianquan Lu
Jan 19, 2016·IEEE Transactions on Cybernetics·Hongwei ChenJianquan Lu
Jan 28, 2017·IEEE Transactions on Neural Networks and Learning Systems·Hongwei ChenJianlong Qiu
Jun 21, 2016·IEEE Transactions on Cybernetics·Jie ZhongDaniel W C Ho
Jun 27, 2017·IEEE Transactions on Neural Networks and Learning Systems·Rongjian LiuZheng-Guang Wu
Apr 30, 2017·Scientific Reports·Yuhu WuWei Wang

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