Singular distributed parameter perturbation systems

Author

Yang, Jian-Hui ; Gao, Jiang-Hua

Author_Institution

Coll. of Bus. Adm., South China Univ. of Technol., Guangzhou, China

Volume

2

fYear

2005

fDate

18-21 Aug. 2005

Firstpage

1226

Abstract

The generalized left inverse, the generalized Fourier transform and the square root of matrix are defined in this paper, the paper deals with singular distributed parameter perturbation systems described by coupled partial differential equations with singular matrix coefficients. Initial-value problem are considered on the basis of the generalized Fourier transform theorem to the singular distributed parameter systems, we obtain the solution of the systems and gives the acceptable initial-value conditions.

Keywords

Fourier transforms; distributed parameter systems; initial value problems; matrix algebra; partial differential equations; singularly perturbed systems; generalized Fourier transform; generalized left inverse method; initial-value problem; partial differential equation; singular distributed parameter perturbation system; singular matrix coefficient; Cables; Conductors; Couplings; Distributed parameter systems; Educational institutions; Fourier transforms; Optical propagation; Partial differential equations; Resistance heating; Temperature distribution; Drazin inverse solution; Perturbation systems; generalized Fourier transform; generalized left inverse;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on

Conference_Location

Guangzhou, China

Print_ISBN

0-7803-9091-1

Type

conf

DOI

10.1109/ICMLC.2005.1527130

Filename

1527130