Model order reduction of linear time invariant systems
This paper addresses issues related to the order reduction of systems with multiple input/output ports. The order reduction is divided up into two steps. The first step is the standard order reduction method based on the multipoint approximation of system matrices by applying Krylov subspace. The se...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | deu |
Published: |
Copernicus Publications
2008-05-01
|
Series: | Advances in Radio Science |
Online Access: | http://www.adv-radio-sci.net/6/129/2008/ars-6-129-2008.pdf |
_version_ | 1819052530203623424 |
---|---|
author | Lj. Radić-Weissenfeld S. Ludwig W. Mathis W. John |
author_facet | Lj. Radić-Weissenfeld S. Ludwig W. Mathis W. John |
author_sort | Lj. Radić-Weissenfeld |
collection | DOAJ |
description | This paper addresses issues related to the order reduction of systems with multiple input/output ports. The order reduction is divided up into two steps. The first step is the standard order reduction method based on the multipoint approximation of system matrices by applying Krylov subspace. The second step is based on the rejection of the weak part of a system. To recognise the weak system part, Lyapunov equations are used. Thus, this paper introduces efficient solutions of the Lyapunov equations for port to port subsystems. |
first_indexed | 2024-12-21T12:21:18Z |
format | Article |
id | doaj.art-6173064b66654adc8bfaf2fdae725cc3 |
institution | Directory Open Access Journal |
issn | 1684-9965 1684-9973 |
language | deu |
last_indexed | 2024-12-21T12:21:18Z |
publishDate | 2008-05-01 |
publisher | Copernicus Publications |
record_format | Article |
series | Advances in Radio Science |
spelling | doaj.art-6173064b66654adc8bfaf2fdae725cc32022-12-21T19:04:18ZdeuCopernicus PublicationsAdvances in Radio Science1684-99651684-99732008-05-016129132Model order reduction of linear time invariant systemsLj. Radić-WeissenfeldS. LudwigW. MathisW. JohnThis paper addresses issues related to the order reduction of systems with multiple input/output ports. The order reduction is divided up into two steps. The first step is the standard order reduction method based on the multipoint approximation of system matrices by applying Krylov subspace. The second step is based on the rejection of the weak part of a system. To recognise the weak system part, Lyapunov equations are used. Thus, this paper introduces efficient solutions of the Lyapunov equations for port to port subsystems.http://www.adv-radio-sci.net/6/129/2008/ars-6-129-2008.pdf |
spellingShingle | Lj. Radić-Weissenfeld S. Ludwig W. Mathis W. John Model order reduction of linear time invariant systems Advances in Radio Science |
title | Model order reduction of linear time invariant systems |
title_full | Model order reduction of linear time invariant systems |
title_fullStr | Model order reduction of linear time invariant systems |
title_full_unstemmed | Model order reduction of linear time invariant systems |
title_short | Model order reduction of linear time invariant systems |
title_sort | model order reduction of linear time invariant systems |
url | http://www.adv-radio-sci.net/6/129/2008/ars-6-129-2008.pdf |
work_keys_str_mv | AT ljradicweissenfeld modelorderreductionoflineartimeinvariantsystems AT sludwig modelorderreductionoflineartimeinvariantsystems AT wmathis modelorderreductionoflineartimeinvariantsystems AT wjohn modelorderreductionoflineartimeinvariantsystems |