摘要
主要研究了广义线性系统—Ex(t)=AX(t)+Bu(t),x(t_0)=x_0,t≥t_0,y(t)=Cx(t)+Du(t)的极点配置问题,利用矩阵的奇异值分解和矩阵的广义逆,得到了广义线性系统的奇异值标准形,使得广义线性系统的极点配置问题转变为正常系统的极点配置问题,从而给出广义线性系统极点配置的一种新方法。
The pole assignment for linear generalized system-
Ex(t) = Ax(t) + Bu(t) ,x(t0) = x0,t>,y(t) = Cx(t) + Du(t) ,
has been studied. The singular values standard form for linear generalized system has been obtained with singular values decomposition of matrix and generalized inverse of matrix,the generalized system is changed into normal system. The new design method of pole assignment for linear generalized systems is given.
出处
《宝鸡文理学院学报（自然科学版）》
CAS
2003年第3期166-168,共3页
Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金
国家自然科学基金(60274055)
陕西科技大学自选项目(ZX02-45)
关键词
广义线性系统
矩阵的奇异值分解
矩阵的广义逆
奇异值标准形
极点配置
linear generalized system
singular values decomposition of matrix
generalized inverse of matrix
singular values standard form
pole assignment
