文献类型：会议论文

中文题名：Uniformly Partial Stability of Boolean Network

作者：Li Zhiqiang[1];Xiao Huimin[1];Song Jinli[1];

第一作者：李志强

机构：[1]Department of Mathematics and Information Science,Henan University of Economics and Law,Zhengzhou Henan 450002,P.R.China;

第一机构：河南财经政法大学数学与信息科学学院

会议论文集：The 33th Chinese Control Conference第33届中国控制会议论文集

会议日期：20140728

会议地点：南京

主办单位：中国自动化学会控制理论专业委员会

语种：英文

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

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.