Krylov-based order reduction using Laguerre series expansion

Rudy Eid; Behnam Salimbahrami; Boris Lohmann

doi:10.1080/13873950701844246

Krylov-based order reduction using Laguerre series expansion

Rudy Eid, Behnam Salimbahrami, Boris Lohmann

Chair of Automatic Control

Technical University of Munich

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

8 Scopus citations

Abstract

This paper presents Krylov-based model order reduction based on the Laguerre description of the system's transfer function. Starting from the Laguerre-based reduction method for state space systems, two extensions are proposed for the reduction of systems of second-order structures. In addition, the connection between the classical moment matching and the Laguerre-based reduction approaches is investigated and their equivalence under specific conditions is presented.

Original language	English
Pages (from-to)	435-449
Number of pages	15
Journal	Mathematical and Computer Modelling of Dynamical Systems
Volume	14
Issue number	5
DOIs	https://doi.org/10.1080/13873950701844246
State	Published - Oct 2008

Keywords

Krylov subspace
Laguerre series
Order reduction

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10.1080/13873950701844246

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title = "Krylov-based order reduction using Laguerre series expansion",

abstract = "This paper presents Krylov-based model order reduction based on the Laguerre description of the system's transfer function. Starting from the Laguerre-based reduction method for state space systems, two extensions are proposed for the reduction of systems of second-order structures. In addition, the connection between the classical moment matching and the Laguerre-based reduction approaches is investigated and their equivalence under specific conditions is presented.",

keywords = "Krylov subspace, Laguerre series, Order reduction",

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

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AU - Salimbahrami, Behnam

AU - Lohmann, Boris

N1 - Funding Information: This work is partially supported by the German Academic Exchange Service (DAAD).

PY - 2008/10

Y1 - 2008/10

N2 - This paper presents Krylov-based model order reduction based on the Laguerre description of the system's transfer function. Starting from the Laguerre-based reduction method for state space systems, two extensions are proposed for the reduction of systems of second-order structures. In addition, the connection between the classical moment matching and the Laguerre-based reduction approaches is investigated and their equivalence under specific conditions is presented.

AB - This paper presents Krylov-based model order reduction based on the Laguerre description of the system's transfer function. Starting from the Laguerre-based reduction method for state space systems, two extensions are proposed for the reduction of systems of second-order structures. In addition, the connection between the classical moment matching and the Laguerre-based reduction approaches is investigated and their equivalence under specific conditions is presented.

KW - Krylov subspace

KW - Laguerre series

KW - Order reduction

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DO - 10.1080/13873950701844246

M3 - Article

AN - SCOPUS:53349108941

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JO - Mathematical and Computer Modelling of Dynamical Systems

JF - Mathematical and Computer Modelling of Dynamical Systems

IS - 5

ER -

Krylov-based order reduction using Laguerre series expansion

Abstract

Keywords

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