L1 impulse response error bound for balanced truncation

J. Lam; B. D.O. Anderson

doi:10.1016/0167-6911(92)90017-M

L₁ impulse response error bound for balanced truncation

J. Lam^*, B. D.O. Anderson

^*Corresponding author for this work

The Australian National University

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

9 Citations (Scopus)

Abstract

This paper presents an upper bound in L₁ for the impulse response error between a system and its balanced truncation. It is an a priori bound and can be computed easily. Numerical examples are used to illustrate its applications and to compare with other available error bounds.

Original language	English
Pages (from-to)	129-137
Number of pages	9
Journal	Systems and Control Letters
Volume	18
Issue number	2
DOIs	https://doi.org/10.1016/0167-6911(92)90017-M
Publication status	Published - Feb 1992

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title = "L1 impulse response error bound for balanced truncation",

abstract = "This paper presents an upper bound in L1 for the impulse response error between a system and its balanced truncation. It is an a priori bound and can be computed easily. Numerical examples are used to illustrate its applications and to compare with other available error bounds.",

keywords = "Balanced truncation, Hankel singular values, impulse response, L-norm, model reduction",

author = "J. Lam and Anderson, {B. D.O.}",

year = "1992",

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AU - Lam, J.

AU - Anderson, B. D.O.

PY - 1992/2

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AB - This paper presents an upper bound in L1 for the impulse response error between a system and its balanced truncation. It is an a priori bound and can be computed easily. Numerical examples are used to illustrate its applications and to compare with other available error bounds.

KW - Balanced truncation

KW - Hankel singular values

KW - impulse response

KW - L-norm

KW - model reduction

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U2 - 10.1016/0167-6911(92)90017-M

DO - 10.1016/0167-6911(92)90017-M

M3 - Article

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SN - 0167-6911

VL - 18

SP - 129

EP - 137

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 2

ER -

L₁ impulse response error bound for balanced truncation

Abstract

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