摘要
研究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λ3 c0λ0=c2λ2 c1λ,当c1=c22,c0=c1c2时,无穷序列{gi}0∞存在3维最小实现的充要条件.
The 3-dimensional minimal realization of linear system in the max-algebra is studied.The necessary and sufficient condition for the existence of 3-dimensional minimal realization of the infinite sequence {gi}∞0 is given,that the characteristic equation of the infinite sequence is λ3c0λ0=c2λ2c1λ,where c1=c22,c0=c1c2.
出处
《大学数学》
2011年第3期30-35,共6页
College Mathematics
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
