文献类型：会议论文

英文题名：Partial Stability of Probabilistic Boolean network

作者：Li, Zhiqiang[1];Song, Jinli[1];Yang, Jian

第一作者：李志强

通讯作者：Li, ZQ[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, 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, Dept Math & Informat Sci, Zhengzhou 450002, 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：26th Chinese Control and Decision Conference (CCDC)

会议日期：MAY 31-JUN 02, 2014

会议地点：Changsha, PEOPLES R CHINA

语种：英文

外文关键词：Probabilistic Boolean network; Semi-tensor product; Partial stability

摘要：In this paper, the uniform stability in one part of the variables for probabilistic Boolean networks is discussed. Firstly, definition of partial stability of probabilistic Boolean networks is introduced. Using semi-tensor product, the probabilistic Boolean network is converted to its algebraic form. From the algebraic form of probabilistic Boolean network, necessary conditions are obtained from the structure matrix of probabilistic Boolean network and the condition is based on reachability matrix of probabilistic Boolean network. Hence the necessary condition is straightforward verifiable. At last, a numerical example is provided to demonstrate the corresponding results.