求多变量线性系统的逆向系统的一种新方法

对多变量线性系统，本文给出了求其逆向系统的一种新方法，这种方法将逆向系统计算中高阶矩阵的求逆转化为通过初等变换求低阶矩阵的规范型，比以往的方法更加简单有效且易于编程计算。本文结合系统的可观测空间与不可观测空间的情况，给出了一种特定的等价变换，得到了比通常更低阶的逆向系统。

A New Method for Constructing the Inversion of Multivariable Linear Systems

A new algorithm for constructing an inverse of a multivariable linear system is presented. This algorithm makes the constructing an inverse of the higher order matrices into searching for the equivalent normal form of the lower order matrices. Consequently, the calculation is more simple efficient and programmed than previous methods. Another result of the paper is that the lower reduced inverse system is obtained, by selecting special bases of the observable space of the original systems, it reveals the effect of the observability of the original systems on the order of the inverse systems.