Necessary and Sufficient Criterion for Node Synchronization in Impulsive Boolean Networks

摘要：

　　Boolean networks (BNs) are discrete-time dynamical systems with Boolean state-variables.Recently,BNs are widely used to model genetic regulatory networks and biological systems.In this paper,we consider the synchronization of coupled nodes in Boolean networks with impulsive effects.Necessary and sufficient synchronization criterion for coupled nodes in Boolean networks with impulsive effects are presented by converting the logical system into algebraic expression.Our results are based on the approach of semi-tensor product of matrices.Some convenient criteria are proposed to judge whether Boolean network with impulses can be synchronized.Finally,one illustrative example is given to show the validness of our proposed results.

关键词： Node synchronization Boolean networks semi-tensor product impulsive effects

作者: Jie Zhong Jianquan Lu Jinde Cao

作者单位: Research Center for Complex Systems and Network Science,Department of Mathematics,Southeast Universi Research Center for Complex Systems and Network Science,Department of Mathematics,Southeast Universi

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 2751-2756

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）