摘要
研究了极大代数上无穷阵序列{Gi}0∞的实现问题.首先给出了周期阵序列的概念,得到了1-阶和2-阶周期阵序列{Gi}0∞元素之间的关系,并得到多输入多输出情况下线性系统存在1维和2维最小实现的充要条件.
This paper investigates the realization of the infinite matrix-sequence {Gi}0^∞ in the Max-algebra. At first, the concept of the periodic matrix-sequence is given, secondly, the relation of elements with periodic matrix-sequence {Gi}0^∞ between first-order and second-order is obtained. Furthermore, the necessary and sufficient condition for the existence of minimal realization with one-dimensioned and two-dimensioned for a MIMO linear system is also obtained.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第6期287-299,共13页
Mathematics in Practice and Theory
基金
吉教科合字[2005]第151号
关键词
极大代数
周期阵序列
最小实现
max-algebra
periodic matrix-sequence
minimal realization
