文献类型：会议论文

英文题名：Exact Controllability of Probabilistic Boolean Control Networks

作者：Li, Zhiqiang[1];Feng, Gaihong[2];Liu, Jinjin[1];Li, Ning[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, Henan, Peoples R China;[2]Zhengzhou Shengda Univ Econ Business & Management, Zhengzhou 451191, Henan, 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, Henan, 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：36th Chinese Control Conference (CCC)

会议日期：JUL 26-28, 2017

会议地点：Dalian, PEOPLES R CHINA

语种：英文

外文关键词：probabilistic Boolean control network; exact controllability; exact reachability; reachability matrix

摘要：This paper deals with the exact reachability and controllability of probabilistic Boolean control networks (PBCNs). Exact controllability of PBCNs is the generalization of controllability of Boolean control networks (BCNs). Firstly, the maximum probability transfer matrix for PBCNs is constructed, and elements of the matrix denote the maximum probability with which one state transfer to another one. Secondly, sufficient conditions for exact controllability of PBCNs are given. Moreover, an algorithm is obtained to construct the control sequence, which force the initial state to the ideal state. Finally, a numerical example is presented to show the efficiency of the approach.