文献类型：会议论文

英文题名：Controllability Analysis of Multi-valued Logical Control Networks

作者：Li, Zhiqiang[1];Yang, Jian[2];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 450002, Peoples R China;[2]Henan Vocat & Tech Coll Commun, Dept Humanity & Social Sci, Zhengzhou 450005, 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, 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：31st Chinese Control Conference

会议日期：JUL 25-27, 2012

会议地点：Hefei, PEOPLES R CHINA

语种：英文

外文关键词：controllability; multi-valued logical control systems; nonnegative matrices; Perron-Frobenius theory

摘要：The controllability of multi-valued logical control networks is discussed in this paper. Using the vector form of multi-valued logical variable, the multi-valued logical control network is expressed as a bilinear discrete time system about the state and control variables. Based on the algebraic form, two definitions of controllability avoiding undesirable states set C are introduced: One is for the general controllability avoiding C, and the other one is for s fixed times controllability avoiding C. Also two necessary and sufficient conditions are given for each case.