Controllability Analysis of Multi-valued Logical Control Networks

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.

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

作者: Zhiqiang Li Jian Yang Jinli Song

作者单位: Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou Department of Humanity and Social Science, Henan Vocational and Technical College of Communications,

会议类型: 国际会议

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

会议地点: 合肥

会议语种:英文

页码: 237-242

在线出版日期: 2012-07-01（万方平台首次上网日期，不代表论文的发表时间）