文献类型：会议论文

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

作者：Jinli Song;Zhiqiang Li;Jian Yang

第一作者：宋金利

机构：[1]Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou;[2]Department of Humanity and Social Science, Henan Vocational and Technical College of Communications,;

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：The 31st Chinese Control Conference(第三十一届中国控制会议)论文集

会议日期：20120700

会议地点：合肥

主办单位：中国自动化学会;中国系统工程学会

语种：英文

中文关键词：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.