A Brief Note on the Generalized Singular Perturbation Approximation

Hamid Reza Shaker

doi:10.1109/ICMSAO.2015.7152265

A Brief Note on the Generalized Singular Perturbation Approximation

Hamid Reza Shaker

Mærsk Mc-Kinney Møller Instituttet

Publikation: Kapitel i bog/rapport/konference-proceeding › Konferencebidrag i proceedings › Forskning › peer review

Abstract

The generalized singular perturbation approximation is a method for approximation of dynamical systems which has been presented in the literature on model reduction over the past two decades. In this note, the generalized singular perturbation approximation is studied and it is shown that this order reduction method is not always true and may leads to inaccurate results and is therefore erroneous. This conclusion holds for the extended methods such as the parametric generalized singular perturbation approximation or the recently presented dissipativity-preserving model reduction based on generalized singular perturbation.

Originalsprog	Engelsk
Titel	Proceedings of the 6th International Conference on Modeling, Simulation and Applied Optimization
Forlag	IEEE Press
Publikationsdato	7. jul. 2015
Sider	1-2
ISBN (Elektronisk)	9781467366014
DOI	https://doi.org/10.1109/ICMSAO.2015.7152265
Status	Udgivet - 7. jul. 2015
Begivenhed	6th International Conference on Modeling, Simulation, and Applied Optimization - Yildiz Technical University, Istanbul, Tyrkiet Varighed: 27. maj 2015 → 29. maj 2015

Konference

Konference	6th International Conference on Modeling, Simulation, and Applied Optimization
Lokation	Yildiz Technical University
Land/Område	Tyrkiet
By	Istanbul
Periode	27/05/2015 → 29/05/2015

Dokumenter og links

10.1109/ICMSAO.2015.7152265

Citationsformater

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title = "A Brief Note on the Generalized Singular Perturbation Approximation",

abstract = "The generalized singular perturbation approximation is a method for approximation of dynamical systems which has been presented in the literature on model reduction over the past two decades. In this note, the generalized singular perturbation approximation is studied and it is shown that this order reduction method is not always true and may leads to inaccurate results and is therefore erroneous. This conclusion holds for the extended methods such as the parametric generalized singular perturbation approximation or the recently presented dissipativity-preserving model reduction based on generalized singular perturbation.",

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N2 - The generalized singular perturbation approximation is a method for approximation of dynamical systems which has been presented in the literature on model reduction over the past two decades. In this note, the generalized singular perturbation approximation is studied and it is shown that this order reduction method is not always true and may leads to inaccurate results and is therefore erroneous. This conclusion holds for the extended methods such as the parametric generalized singular perturbation approximation or the recently presented dissipativity-preserving model reduction based on generalized singular perturbation.

AB - The generalized singular perturbation approximation is a method for approximation of dynamical systems which has been presented in the literature on model reduction over the past two decades. In this note, the generalized singular perturbation approximation is studied and it is shown that this order reduction method is not always true and may leads to inaccurate results and is therefore erroneous. This conclusion holds for the extended methods such as the parametric generalized singular perturbation approximation or the recently presented dissipativity-preserving model reduction based on generalized singular perturbation.

U2 - 10.1109/ICMSAO.2015.7152265

DO - 10.1109/ICMSAO.2015.7152265

M3 - Article in proceedings

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BT - Proceedings of the 6th International Conference on Modeling, Simulation and Applied Optimization

PB - IEEE Press

T2 - 6th International Conference on Modeling, Simulation, and Applied Optimization

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ER -

A Brief Note on the Generalized Singular Perturbation Approximation

Abstract

Konference

Dokumenter og links

Fingeraftryk

Citationsformater