Synchronization of master-slave Boolean networks with impulsive effects: Necessary and sufficient criteria

被引:40
|
作者
Zhong, Jie [1 ]
Lu, Jianquan [1 ]
Huang, Tingwen [2 ]
Cao, Jinde [1 ,3 ]
机构
[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[2] Texas A&M Univ Qatar, Doha 23874, Qatar
[3] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
关键词
Master-slave synchronization; Boolean networks; Impulsive effect; Semi-tensor product; NEURAL-NETWORKS; EXPONENTIAL SYNCHRONIZATION; STABILITY; CONTROLLABILITY; OBSERVABILITY; CONSENSUS; DISCRETE; TOPOLOGY; AGENTS; ARRAY;
D O I
10.1016/j.neucom.2014.05.065
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper investigates the synchronization of master-slave Boolean networks with impulsive effects. Necessary and sufficient conditions on the synchronization for master-slave Boolean networks with impulsive effects are derived by converting the logical systems into algebraic expression with the method of semi-tensor product of matrices. Some convenient conditions are proposed to judge whether a Boolean network with impulsive effects can be synchronized. Finally, one illustrative example is given to show the effectiveness of the proposed results. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:269 / 274
页数:6
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