文献类型：会议论文

英文题名：Uniformly Partial Stability of Boolean Network

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

第一作者：李志强

通讯作者：Li, ZQ[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou Henan 450002, 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 Henan 450002, 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：33rd Chinese Control Conference (CCC)

会议日期：JUL 28-30, 2014

会议地点：Nanjing, PEOPLES R CHINA

语种：英文

外文关键词：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.