传递函数阵零极对消后分母多项式的确定方法

本文从线性定常系统的可控性,可观性与零极对消的关系入手指出传递函数阵的分母多项式应为系统既可控又可观部分的状态阵的最小多项式,然后给出了利用矩阵的不变因子理论求最小多项式的方法。

A Method of Denorainator Polynomial of Zero-Pole Reduction Transfer Ftinction Matrix

Based on the relatioship of linear Constant controllability, observability and zero-pole reduction,this article indicates that denominator polynomial of transfer function matrix is the minimal polynomial of the system states matrix which are controllable and observable.then gives out a method of obtaining minimal poly- nomial utilizing unvaried factor theory of matrix.