通过复Schur形求解线性方程AX+XB=-C

Solving Linear Equation AX+XB=-C via Complex Schur Form

控制系统设计中经常要遇到求解线性方程AX+XB=—C (1)的需求,因而在各种CADCS软件包中都包含求解这类方程的功能,本文介绍的方法用于矩阵设计工具MXTOOL中,其特点是适用范围广,数值稳定性高。

In control systems design,we need to solve the matrix equationAX+XB=-C.Therefore,in most of the CADCS packages,there are the functions for solving this kind of equations.In this paper,a method,which is prepared for the matrix design tools MXTOOL,is introduced.It can be used for various cases,and is mathematical stable.