A method for partial-fraction expansion of transfer matrices

Author

Leyva-Ramos, Jesus

Author_Institution

Div. of Eng., Brown Univ., Providence, RI, USA

Volume

36

Issue

12

fYear

1991

fDate

12/1/1991 12:00:00 AM

Firstpage

1472

Lastpage

1475

Abstract

A general method for partial-fraction expansion of transfer matrices is presented and a general formula is given. The main ideas of the procedure include: (1) no required derivatives for the case of repeated eigenvalues: (2) all the matrix residues are found at the same time; and (3) there is no need for knowledge of the minimal polynomial. The procedure can be easily applied to digital computer application and fills a void in the computer method for finding the partial-fraction expansion in the case of repeated eigenvalues. The results are presented in structured form using Kronecker products in a way that facilitates easy implementation using a variety of standard software packages

Keywords

eigenvalues and eigenfunctions; matrix algebra; Kronecker products; eigenvalues; matrix residues; partial-fraction expansion; software packages; transfer matrices; Computer applications; Eigenvalues and eigenfunctions; Erbium; Interpolation; Lagrangian functions; Laplace equations; Polynomials; Software packages; Software standards; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.106163

Filename

106163