Further numerical methods for J-spectral factorization

H. Kwakernaak; M. Sebek; M. Sebek

doi:10.1109/CDC.1991.261591

Further numerical methods for J-spectral factorization

H. Kwakernaak, M. Sebek, M. Sebek

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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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)

Original language	Undefined
Title of host publication	Preprints 2nd IFAC Workshop on System Structure and Control
Place of Publication	Prague, Czechoslovakia
Publisher	IEEE
Pages	96-99
Number of pages	0
ISBN (Print)	9780780304505
DOIs	https://doi.org/10.1109/CDC.1991.261591
Publication status	Published - 3 May 1992
Event	30th IEEE Conference on Decision and Control, CDC 1991 - Brighton, United Kingdom Duration: 11 Dec 1991 → 13 Dec 1991 Conference number: 30

Publication series

Name
Publisher	IEEE
Volume	2

Conference

Conference	30th IEEE Conference on Decision and Control, CDC 1991
Abbreviated title	CDC
Country/Territory	United Kingdom
City	Brighton
Period	11/12/91 → 13/12/91

Keywords

METIS-141533
IR-56064

Access to Document

10.1109/CDC.1991.261591

00261591

Cite this

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title = "Further numerical methods for J-spectral factorization",

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)",

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N2 - 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)

AB - 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)

KW - METIS-141533

KW - IR-56064

U2 - 10.1109/CDC.1991.261591

DO - 10.1109/CDC.1991.261591

M3 - Conference contribution

SN - 9780780304505

SP - 96

EP - 99

BT - Preprints 2nd IFAC Workshop on System Structure and Control

PB - IEEE

CY - Prague, Czechoslovakia

T2 - 30th IEEE Conference on Decision and Control, CDC 1991

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ER -