Uniformly Partial Stability of Boolean Network

摘要：

　　The paper deal with problems on stability of Boolean networks with respect to a given part of variables characterizing the Boolean network.Using semi-tensor product of matrices and the matrix expression of logic,the dynamics of a Boolean network can be converted to a discrete time linear dynamics,called the algebraic form of the Boolean network.Main results consist of two parts:(i)From the algebraic form of Boolean network,global partial stability is introduced.(ii)Based on algebraic form,necessary and sufficient condition for global partial states stability with respect to arbitrary initial states are obtained.

关键词： Boolean networks Boolean control network Semi-tensor product Partial stability

作者: Li Zhiqiang Xiao Huimin Song Jinli

作者单位: Department of Mathematics and Information Science,Henan University of Economics and Law,Zhengzhou Henan 450002,P.R.China

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: 3945-3949

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）