文献类型：会议论文

中文题名：Algebraic Approach to Asynchronous Boolean Networks

作者：Zhiqiang Li[1];Huimin Xiao[1];Jinli Song[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：2011 China Control and Decision Conference(2011中国控制与决策会议 CCDC)论文集

会议日期：20110523

会议地点：四川绵阳

主办单位：东北大学;IEEE

语种：英文

中文关键词：Boolean networks;Asynchronous random networks;Transition matrix;Algebraic approach;Semi-tensor product.

摘要：Using the structural matrix, we give a new frame work to study asynchronous random Boolean networks under different update schemes, which contain asynchronous random networks (ARBNs), deterministic asynchronous random networks (DARBNs), generalized asynchronous random networks (GARBNs), deterministic generalized asynchronous random networks (DGARBNs). The ARBNs and GARBNs are converted to probabilistic Boolean transition matrices, while DARBNs and DGARBNs are converted to time-variant Boolean transition matrixes. It paves the way to study the properties of RBNs.