一类极大代数上线性系统的3维最小实现

A Class of 3-dimensional Minimal Realization in Linear System of Max-algebar

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.