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 diffe...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.展开更多
基金Project supported by the National Natural Science Foundation of China(No.61503115)the Fundamental Research Funds for the Central Universities,China(No.JZ2017HGTB0188)the National Innovative Program for College Students,China(No.201810359056)。
文摘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.