J-spectral factorization

Author

Sebek, M. ; Kwakernaak, H.

Author_Institution

Twente Univ., Enschede, Netherlands

fYear

1991

fDate

11-13 Dec 1991

Firstpage

1278

Abstract

The problem of J-spectral factorization of polynomial matrices is studied. Existence and uniqueness are discussed, and the differences from the standard case are pointed out. Two first algorithms are proposed for a numerical solution. The first algorithm, which is based on the generalized symmetric factor extraction, features simplicity and is easy to implement via MATLAB. The second algorithm, which is based on diagonalization, applies to a more general class of matrices (including those with zeros on the imaginary axis)

Keywords

matrix algebra; numerical analysis; polynomials; spectral analysis; J-spectral factorization; MATLAB; diagonalization; numerical solution; polynomial matrices; symmetric factor extraction; zeros; Automation; Control theory; Feature extraction; Information theory; Iterative methods; MATLAB; Mathematics; Mechatronics; Newton method; Polynomials; Riccati equations; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Conference_Location

Brighton

Print_ISBN

0-7803-0450-0

Type

conf

DOI

10.1109/CDC.1991.261591

Filename

261591

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3475376