Weighted Hankel-norm approximation: Calculation of bounds

Brian D.O. Anderson

doi:10.1016/0167-6911(86)90037-X

Weighted Hankel-norm approximation: Calculation of bounds

Brian D.O. Anderson^*

^*Corresponding author for this work

School of Engineering

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

34 Citations (Scopus)

Abstract

Frequency-domain bounds are computed for the approximation error involved in the optimum Hankel-norm approximation procedure. The bounds differ from those arising in the unweighted optimal Hankel-norm approximation procedure by a multiplicative factor depending solely on the weighting function. This factor becomes unity when the weighting function is constant.

Original language	English
Pages (from-to)	247-255
Number of pages	9
Journal	Systems and Control Letters
Volume	7
Issue number	4
DOIs	https://doi.org/10.1016/0167-6911(86)90037-X
Publication status	Published - Jul 1986

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title = "Weighted Hankel-norm approximation: Calculation of bounds",

abstract = "Frequency-domain bounds are computed for the approximation error involved in the optimum Hankel-norm approximation procedure. The bounds differ from those arising in the unweighted optimal Hankel-norm approximation procedure by a multiplicative factor depending solely on the weighting function. This factor becomes unity when the weighting function is constant.",

keywords = "Approximation theory, Model reduction, System-order reduction",

author = "Anderson, \{Brian D.O.\}",

year = "1986",

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T2 - Calculation of bounds

AU - Anderson, Brian D.O.

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Y1 - 1986/7

N2 - Frequency-domain bounds are computed for the approximation error involved in the optimum Hankel-norm approximation procedure. The bounds differ from those arising in the unweighted optimal Hankel-norm approximation procedure by a multiplicative factor depending solely on the weighting function. This factor becomes unity when the weighting function is constant.

AB - Frequency-domain bounds are computed for the approximation error involved in the optimum Hankel-norm approximation procedure. The bounds differ from those arising in the unweighted optimal Hankel-norm approximation procedure by a multiplicative factor depending solely on the weighting function. This factor becomes unity when the weighting function is constant.

KW - Approximation theory

KW - Model reduction

KW - System-order reduction

UR - https://www.scopus.com/pages/publications/0022755299

U2 - 10.1016/0167-6911(86)90037-X

DO - 10.1016/0167-6911(86)90037-X

M3 - Article

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VL - 7

SP - 247

EP - 255

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 4

ER -

Weighted Hankel-norm approximation: Calculation of bounds

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