Polynomial J-spectral factorization

H. Kwakernaak; M. Sebek; Michael Sebek

doi:10.1109/9.272326

Polynomial J-spectral factorization

H. Kwakernaak, M. Sebek, Michael Sebek

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

Several algorithms are presented for the J-spectral factorization of a para-Hermitian polynomial matrix. The four algorithms that are discussed are based on diagonalization, successive factor extraction, interpolation, and the solution of an algebraic Riccati equation, respectively. The paper includes a special algorithm for the factorization of unimodular para-Hermitian polynomial matrices and deals with canonical, noncanonical, and nearly noncanonical factorizations

Original language	Undefined
Pages (from-to)	315-328
Number of pages	14
Journal	IEEE transactions on automatic control
Volume	39
Issue number	2
DOIs	https://doi.org/10.1109/9.272326
Publication status	Published - 1994

Keywords

METIS-140817
IR-30177

Access to Document

10.1109/9.272326

Polynomial_J-spectral_factorizatio-kwakernaat

Cite this

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title = "Polynomial J-spectral factorization",

abstract = "Several algorithms are presented for the J-spectral factorization of a para-Hermitian polynomial matrix. The four algorithms that are discussed are based on diagonalization, successive factor extraction, interpolation, and the solution of an algebraic Riccati equation, respectively. The paper includes a special algorithm for the factorization of unimodular para-Hermitian polynomial matrices and deals with canonical, noncanonical, and nearly noncanonical factorizations",

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T1 - Polynomial J-spectral factorization

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AU - Sebek, M.

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N2 - Several algorithms are presented for the J-spectral factorization of a para-Hermitian polynomial matrix. The four algorithms that are discussed are based on diagonalization, successive factor extraction, interpolation, and the solution of an algebraic Riccati equation, respectively. The paper includes a special algorithm for the factorization of unimodular para-Hermitian polynomial matrices and deals with canonical, noncanonical, and nearly noncanonical factorizations

AB - Several algorithms are presented for the J-spectral factorization of a para-Hermitian polynomial matrix. The four algorithms that are discussed are based on diagonalization, successive factor extraction, interpolation, and the solution of an algebraic Riccati equation, respectively. The paper includes a special algorithm for the factorization of unimodular para-Hermitian polynomial matrices and deals with canonical, noncanonical, and nearly noncanonical factorizations

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KW - IR-30177

U2 - 10.1109/9.272326

DO - 10.1109/9.272326

M3 - Article

VL - 39

SP - 315

EP - 328

JO - IEEE transactions on automatic control

JF - IEEE transactions on automatic control

SN - 0018-9286

IS - 2

ER -