Sub-optimal Hankel norm approximation problem: A frequency-domain approach

OV Iftime; AJ Sasane

doi:10.1016/j.sysconle.2003.11.002

Sub-optimal Hankel norm approximation problem: A frequency-domain approach

OV Iftime^*, AJ Sasane

^*Corresponding author for this work

Faculty of Science and Engineering

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

5 Citations (Scopus)

Abstract

We obtain a simple solution for the sub-optimal Hankel norm approximation problem for the Wiener class of matrix-valued functions. The approach is via J-spectral factorization and frequency-domain techniques. (C) 2003 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	75-83
Number of pages	9
Journal	Systems & Control Letters
Volume	52
Issue number	1
DOIs	https://doi.org/10.1016/j.sysconle.2003.11.002
Publication status	Published - May-2004

Keywords

Hankel norm approximation problem
infinite-dimensional systems
J-spectral factorization
Wiener class of functions
INFINITE-DIMENSIONAL SYSTEMS
PRITCHARD-SALAMON CLASS
NEHARI PROBLEM
EQUALIZING VECTORS
LINEAR-SYSTEMS
ERROR-BOUNDS
FACTORIZATION

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title = "Sub-optimal Hankel norm approximation problem: A frequency-domain approach",

abstract = "We obtain a simple solution for the sub-optimal Hankel norm approximation problem for the Wiener class of matrix-valued functions. The approach is via J-spectral factorization and frequency-domain techniques. (C) 2003 Elsevier B.V. All rights reserved.",

keywords = "Hankel norm approximation problem, infinite-dimensional systems, J-spectral factorization, Wiener class of functions, INFINITE-DIMENSIONAL SYSTEMS, PRITCHARD-SALAMON CLASS, NEHARI PROBLEM, EQUALIZING VECTORS, LINEAR-SYSTEMS, ERROR-BOUNDS, FACTORIZATION",

author = "OV Iftime and AJ Sasane",

year = "2004",

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doi = "10.1016/j.sysconle.2003.11.002",

language = "English",

volume = "52",

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journal = "Systems & Control Letters",

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AU - Sasane, AJ

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AB - We obtain a simple solution for the sub-optimal Hankel norm approximation problem for the Wiener class of matrix-valued functions. The approach is via J-spectral factorization and frequency-domain techniques. (C) 2003 Elsevier B.V. All rights reserved.

KW - Hankel norm approximation problem

KW - infinite-dimensional systems

KW - J-spectral factorization

KW - Wiener class of functions

KW - INFINITE-DIMENSIONAL SYSTEMS

KW - PRITCHARD-SALAMON CLASS

KW - NEHARI PROBLEM

KW - EQUALIZING VECTORS

KW - LINEAR-SYSTEMS

KW - ERROR-BOUNDS

KW - FACTORIZATION

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DO - 10.1016/j.sysconle.2003.11.002

M3 - Article

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VL - 52

SP - 75

EP - 83

JO - Systems & Control Letters

JF - Systems & Control Letters

IS - 1

ER -

Sub-optimal Hankel norm approximation problem: A frequency-domain approach

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Keywords

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