Initial-Value Problem of Singular Distributed Parameter System
Yang Jianhui
Deng Lihu
Liu Yongqing
Abstract：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.
Keywords：singular distributed parameter systemsgeneralized Fourier transformleft inverseDrazin inversesolution
Publication Date：1999-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)