Equivalence of Laguerre-based model order reduction and moment matching

Rudy Eid; Behnam Salimbahrami; Boris Lohmann

doi:10.1109/TAC.2007.899055

Equivalence of Laguerre-based model order reduction and moment matching

Rudy Eid
, Behnam Salimbahrami
, Boris Lohmann

Chair of Automatic Control

Technical University of Munich

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

21 Scopus citations

Abstract

The equivalence between the classical moment matching and the Laguerre-based reduction approaches is shown. In addition, this equivalence is generalized to include a family of coefficients known as generalized Markov parameters.

Original language	English
Pages (from-to)	1104-1108
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	52
Issue number	6
DOIs	https://doi.org/10.1109/TAC.2007.899055
State	Published - Jun 2007

Keywords

Bilinear transformations
Laguerre polynomial transforms
Moment matching
Reduced-order systems

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10.1109/TAC.2007.899055

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title = "Equivalence of Laguerre-based model order reduction and moment matching",

abstract = "The equivalence between the classical moment matching and the Laguerre-based reduction approaches is shown. In addition, this equivalence is generalized to include a family of coefficients known as generalized Markov parameters.",

keywords = "Bilinear transformations, Laguerre polynomial transforms, Moment matching, Reduced-order systems",

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

note = "Funding Information: Manuscript received January 11, 2006; revised June 5, 2006 and December 20, 2006. Recommended by Associate Editor M. Fujita. This work was partially supported by the DAAD (German Academic Exchange Service) and DFG (German Research Council).",

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AU - Salimbahrami, Behnam

AU - Lohmann, Boris

N1 - Funding Information: Manuscript received January 11, 2006; revised June 5, 2006 and December 20, 2006. Recommended by Associate Editor M. Fujita. This work was partially supported by the DAAD (German Academic Exchange Service) and DFG (German Research Council).

PY - 2007/6

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N2 - The equivalence between the classical moment matching and the Laguerre-based reduction approaches is shown. In addition, this equivalence is generalized to include a family of coefficients known as generalized Markov parameters.

AB - The equivalence between the classical moment matching and the Laguerre-based reduction approaches is shown. In addition, this equivalence is generalized to include a family of coefficients known as generalized Markov parameters.

KW - Bilinear transformations

KW - Laguerre polynomial transforms

KW - Moment matching

KW - Reduced-order systems

UR - https://www.scopus.com/pages/publications/34447116299

U2 - 10.1109/TAC.2007.899055

DO - 10.1109/TAC.2007.899055

M3 - Article

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SP - 1104

EP - 1108

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 6

ER -

Equivalence of Laguerre-based model order reduction and moment matching

Abstract

Keywords

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