摘要
本文定义了广义左逆、广义Ｆｏｕｒｉｅｒ 变换，矩阵平方根等概念，论述了由带奇异系数矩阵的耦合偏微分方程描述的广义分布参数系统，由广义Ｆｏｕｒｉｅｒ 变换定理讨论了广义分布参数系统的初值问题。
This paper defines the concepts of the generalized left inverse,the generalized Fourier transform and the square root of matrix.Meanwhile,it deals with singular distributed parameter systems described by coupled partial differential equations with singualr matrix coefficients.As to the singular distributed parameter systems,the initial value problem are considered on the basis of the generalized Fourier transform theorem.The solution of the systems is obtained from the method presented here and the possibility of determining acceptable initial value conditions is also discussed.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
1999年第6期858-862,共5页
Control Theory & Applications
关键词
广义
分布参数系统
DRAZIN逆
初值问题
singular distributed parameter systems
generalized Fourier transform
left inverse
Drazin inverse
solution
