L∞ approximation and nuclearity of delay systems

J.R. Partington; K. Glover; H.J. Zwart; Ruth F. Curtain

doi:10.1016/0167-6911(88)90041-2

L_∞ approximation and nuclearity of delay systems

J.R. Partington^*, K. Glover, H.J. Zwart, Ruth F. Curtain

^*Corresponding author for this work

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

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Abstract

The L_∞ convergence of partial-fraction decompositions of single-input-single-output delay systems is studied. Conditions for the nuclearity of such systems are derived, and examples given.

Original language	English
Pages (from-to)	59-65
Number of pages	7
Journal	Systems and control letters
Volume	10
Issue number	1
DOIs	https://doi.org/10.1016/0167-6911(88)90041-2
Publication status	Published - Jan 1988
Externally published	Yes

Keywords

Approximation
Balanced realisations
Delay systems
H convergence
Infinite-dimensional systems
Nuclearity
Optimal Hankel-norm approximation

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10.1016/0167-6911(88)90041-2

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title = "L∞ approximation and nuclearity of delay systems",

abstract = "The L∞ convergence of partial-fraction decompositions of single-input-single-output delay systems is studied. Conditions for the nuclearity of such systems are derived, and examples given.",

keywords = "Approximation, Balanced realisations, Delay systems, H convergence, Infinite-dimensional systems, Nuclearity, Optimal Hankel-norm approximation",

author = "J.R. Partington and K. Glover and H.J. Zwart and Curtain, {Ruth F.}",

year = "1988",

month = jan,

doi = "10.1016/0167-6911(88)90041-2",

language = "English",

volume = "10",

pages = "59--65",

journal = "Systems and control letters",

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T1 - L∞ approximation and nuclearity of delay systems

AU - Partington, J.R.

AU - Glover, K.

AU - Zwart, H.J.

AU - Curtain, Ruth F.

PY - 1988/1

Y1 - 1988/1

N2 - The L∞ convergence of partial-fraction decompositions of single-input-single-output delay systems is studied. Conditions for the nuclearity of such systems are derived, and examples given.

AB - The L∞ convergence of partial-fraction decompositions of single-input-single-output delay systems is studied. Conditions for the nuclearity of such systems are derived, and examples given.

KW - Approximation

KW - Balanced realisations

KW - Delay systems

KW - H convergence

KW - Infinite-dimensional systems

KW - Nuclearity

KW - Optimal Hankel-norm approximation

UR - http://www.scopus.com/inward/record.url?scp=0023843130&partnerID=8YFLogxK

U2 - 10.1016/0167-6911(88)90041-2

DO - 10.1016/0167-6911(88)90041-2

M3 - Article

AN - SCOPUS:0023843130

SN - 0167-6911

VL - 10

SP - 59

EP - 65

JO - Systems and control letters

JF - Systems and control letters

IS - 1

ER -

L_∞ approximation and nuclearity of delay systems

Abstract

Keywords

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