On the choice of an optimal interpolation point in Krylov-based order reduction

Behnam Salimbahrami; Rudy Eid; Boris Lohmann

doi:10.1109/CDC.2008.4739219

On the choice of an optimal interpolation point in Krylov-based order reduction

Behnam Salimbahrami, Rudy Eid, Boris Lohmann

Chair of Automatic Control

Technical University of Munich

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

In this paper, the well-known problem of finding a suitable interpolation point in order reduction via moment matching by Krylov subspaces is investigated. By using the equivalence property of moment matching and Laguerre-based order reduction, the problem is reformulated as finding the best choice for the free parameter α in the Laguerre basis. Minimizing appropriate cost functions with very few iterations is the key point toward finding this best interpolation point.

Original language	English
Title of host publication	Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4209-4214
Number of pages	6
ISBN (Print)	9781424431243
DOIs	https://doi.org/10.1109/CDC.2008.4739219
State	Published - 2008
Event	47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico Duration: 9 Dec 2008 → 11 Dec 2008

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	47th IEEE Conference on Decision and Control, CDC 2008
Country/Territory	Mexico
City	Cancun
Period	9/12/08 → 11/12/08

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10.1109/CDC.2008.4739219

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Salimbahrami, B., Eid, R., & Lohmann, B. (2008). On the choice of an optimal interpolation point in Krylov-based order reduction. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008 (pp. 4209-4214). Article 4739219 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2008.4739219

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title = "On the choice of an optimal interpolation point in Krylov-based order reduction",

abstract = "In this paper, the well-known problem of finding a suitable interpolation point in order reduction via moment matching by Krylov subspaces is investigated. By using the equivalence property of moment matching and Laguerre-based order reduction, the problem is reformulated as finding the best choice for the free parameter α in the Laguerre basis. Minimizing appropriate cost functions with very few iterations is the key point toward finding this best interpolation point.",

author = "Behnam Salimbahrami and Rudy Eid and Boris Lohmann",

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doi = "10.1109/CDC.2008.4739219",

language = "English",

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series = "Proceedings of the IEEE Conference on Decision and Control",

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note = "47th IEEE Conference on Decision and Control, CDC 2008 ; Conference date: 09-12-2008 Through 11-12-2008",

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Salimbahrami, B, Eid, R & Lohmann, B 2008, On the choice of an optimal interpolation point in Krylov-based order reduction. in Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008., 4739219, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 4209-4214, 47th IEEE Conference on Decision and Control, CDC 2008, Cancun, Mexico, 9/12/08. https://doi.org/10.1109/CDC.2008.4739219

On the choice of an optimal interpolation point in Krylov-based order reduction. / Salimbahrami, Behnam; Eid, Rudy; Lohmann, Boris.
Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc., 2008. p. 4209-4214 4739219 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - In this paper, the well-known problem of finding a suitable interpolation point in order reduction via moment matching by Krylov subspaces is investigated. By using the equivalence property of moment matching and Laguerre-based order reduction, the problem is reformulated as finding the best choice for the free parameter α in the Laguerre basis. Minimizing appropriate cost functions with very few iterations is the key point toward finding this best interpolation point.

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T2 - 47th IEEE Conference on Decision and Control, CDC 2008

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ER -

On the choice of an optimal interpolation point in Krylov-based order reduction

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