Algorithm of J-spectral factorization of polynomial matrices
type: Item
instance of: scholarly article
title: Algorithm of J-spectral factorization of polynomial matrices
zbMATH Open document ID: 0904.93013
DOI: 10.1016/S0005-1098(97)00133-7
author: F. A. Aliev
author: V. B. Larin
published in: Automatica
publication date: 1998-08-03T00:00:00Z
review text: Without finding the zeros of polynomials, an algorithm for \(J\)-factorization of polynomial matrices with respect to the imaginary axis is given. The effectiveness of the algorithm is based on the construction of the stabilizing solution of the matrix algebraic Riccati equation. The algorithm may be used for the factorization of a non-regular polynomial matrix whose determinant has zero roots.
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 1161173
zbMATH Keywords: \(H\)-optimal control
zbMATH Keywords: robust control
zbMATH Keywords: Wiener-Hopf approach
zbMATH Keywords: canonical factorization
zbMATH Keywords: \(J\)-factorization of polynomial matrices
zbMATH Keywords: matrix algebraic Riccati equation
zbMATH Keywords: non-regular polynomial matrix
reviewed by: Ilie Valuşescu
MaRDI profile type: Publication
cites work: Q3479451
cites work: Generalized Lyapunov equation and factorization of matrix polynomials
cites work: On polynomial matrix spectral factorization by symmetric extraction
cites work: AJ-Spectral Factorization Approach to $\mathcal{H}_\infty $
cites work: Positive and negative solutions of dual Riccati equations by matrix sign function iteration
cites work: Robust control and \({\mathcal H}_{\infty}\)-optimization -- tutorial paper
cites work: Polynomial J-spectral factorization
cites work: Q3358567
cites work: Wiener-Hopf design of servo-regulator-type multivariable control systems including feedforward compensation
Recommended article: New algorithms for polynomial \(J\)-spectral factorization
Recommended article: Polynomial J-spectral factorization
Recommended article: A Toeplitz algorithm for polynomial \(J\)-spectral factorization
Recommended article: Discrete \(J\)-spectral factorization of possibly singular polynomial matrices
Recommended article: Q5717937
Recommended article: Algorithm of \(J\)-factorization of rational matrices with zeros and poles on the imaginary axis
Recommended article: Q3479451
Recommended article: Spectral factorization of non-symmetric polynomial matrices
Recommended article: Q3332158
Recommended article: \(J\)-pseudo-spectral and \(J\)-inner-pseudo-outer factorizations for matrix polynomials
description: scientific article; zbMATH DE number 1161173