文献类型：会议论文

英文题名：Weak Reachability of Probabilistic Boolean Control Networks

作者：Li, Zhiqiang[1];Xiao, Huimin[1]

第一作者：李志强

通讯作者：Li, ZQ[1]

机构：[1]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

会议论文集：International conference on Advanced Mechatronic systems

会议日期：AUG 22-24, 2015

会议地点：Beijing, PEOPLES R CHINA

语种：英文

外文关键词：probabilistic Boolean control networks; semi-tensor product; maximum transfer probability matrix; weak reachability

摘要：This paper concerns the weak reachability of probabilistic Boolean control networks (PBCNs). Using semitensor product, PBCNs are expressed as discrete time bilinear systems with respect to states and controls. From the algebraic form of PBCNs, the maximum transfer probability matrix for PBCNs is constructed. From the matrix, necessary and sufficient condition for weak reachability of PBCNs is given. Also, a numerical example is presented to show the applicability of our approach.