在研究线性时不变多变量系统时,由已知的传递函数G(s)求得其最小实现是线性系统理论的基本问题之—.六十年代以来已发表了一些论文.本文的一个内容是改进Rosenbrock的最小实现算法,以降低运算时矩阵的阶数和减少运算工作量.又由于Rosenbrock的最小实现算法所得到的不是标准形,所以本文的另一个内容是对获得Luenberger标准形提出一种算法. When studying a linear time-invariant multivariable system, the minimal realization of the known system of transfer function G (s) is a fundamental problem of linear systems theory- some papers have been published since the 1960s. Is to improve the Rosenbrock’s minimum algorithm to reduce the order of matrices and reduce the computational workload.Furthermore, Rosenbrock’s minimal realization algorithm can not get the standard form, so another part of this article is to propose a Luenberger standard form Kind of algorithm