A New Method for Constructing the Inversion of Multivariable Linear Systems  

求多变量线性系统的逆向系统的一种新方法(英文)

作　　者：张新建[1] 童丽[1] 

机构地区：[1]国防科学技术大学数学系,湖南长沙410073

出　　处：《Chinese Quarterly Journal of Mathematics》2001年第4期18-24,共7页数学季刊（英文版）

摘　　要：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.

关 键 词：multivariable linear system inverse system orthogonal decomposition 

分 类 号：O231.1[理学—运筹学与控制论]