广义分布参数系统的初值问题

Initial-Value Problem of Singular Distributed Parameter System*

中文关键词  广义分布参数系统  广义Fourier变换  广义左逆  Drazin逆  解

英文关键词  singular distributed parameter systems  generalized Fourier transfonn  lefiinverse  Drazin inverse  solution

中文摘要

      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，得到了该系统的解及其相容的初值条件。

英文摘要

      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.