摘要
讨论了极大代数上线性系统的3维最小实现问题,给出了特征方程为λ^3(+)c0λ^0=c2λ2^+c1λ的一类无穷序列{g}δ存在3维最小实现的充要条件,彻底解决了存在3维最小实现的充要条件问题.
The 3-dimensional minimal realization of linear system in the max-algebra is discussed. The necessary and sufficient condition for the existence of 3-dimensional minimal realization of the infinite sequence {g}δ is given, tne characteristic equation of the infinite sequence is λ^3(+)c0λ^0=c2λ2^+c1λ the necessary and sufficient condition for the existence of 3- dimensional minimal realization problem is solved thoroughly.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第23期233-238,共6页
Mathematics in Practice and Theory
基金
吉教科验字[2007]34号
关键词
极大代数
最小实现
周期序列
max-algebra
minimal realization
periodic sequence