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

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Salimbahrami, B., Eid, R., Lohmann, B.
Format: Conference Proceeding
Language:English
Subjects:
Cost function
Frequency domain analysis
Interpolation
Iterative algorithms
Large-scale systems
Optimal control
Reduced order systems
Signal processing algorithms
Systems engineering and theory
Time domain analysis
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page 4214
container_issue
container_start_page 4209
container_title
container_volume
creator Salimbahrami, B.
Eid, R.
Lohmann, B.
description 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 ¿ in the Laguerre basis. Minimizing appropriate cost functions with very few iterations is the key point toward finding this best interpolation point.
doi_str_mv 10.1109/CDC.2008.4739219
format conference_proceeding
fullrecord <record><control><sourceid>ieee_6IE</sourceid><recordid>TN_cdi_ieee_primary_4739219</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>4739219</ieee_id><sourcerecordid>4739219</sourcerecordid><originalsourceid>FETCH-LOGICAL-i175t-31f7332c743b49b0fc266a0c3a59cc576a81b52c2e08d4ace626f48b6b60c6cf3</originalsourceid><addsrcrecordid>eNpVkEFLxDAUhCO6YF33LnjJH2jNS9KX5ijVVXGhFz0vSZqwldqUtAr77624F0_DNwzDMITcACsAmL6rH-qCM1YVUgnNQZ-RjVYVSC6lAC7F-T8WeEEyBhpyzgFXJFM6R8k0wiW5mqYPtjQxxIw0zUDng6fuEDvnaQzUDDSOc_dpetoNs09j7M3cxYGOceHFo6_p2Mfv3JrJtzSm1ieafPvlflPXZBVMP_nNSdfkffv4Vj_nu-bppb7f5R2ocs4FBCUEd0oKK7VlwXFEw5wwpXauVGgqsCV33LOqlcZ55BhkZdEic-iCWJPbv97Oe78f07I3Hfenb8QP98NTXw</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype></control><display><type>conference_proceeding</type><title>On the choice of an optimal interpolation point in Krylov-based order reduction</title><source>IEEE Electronic Library (IEL) Conference Proceedings</source><creator>Salimbahrami, B. ; Eid, R. ; Lohmann, B.</creator><creatorcontrib>Salimbahrami, B. ; Eid, R. ; Lohmann, B.</creatorcontrib><description>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 ¿ in the Laguerre basis. Minimizing appropriate cost functions with very few iterations is the key point toward finding this best interpolation point.</description><identifier>ISSN: 0191-2216</identifier><identifier>ISBN: 9781424431236</identifier><identifier>ISBN: 1424431239</identifier><identifier>EISBN: 9781424431243</identifier><identifier>EISBN: 1424431247</identifier><identifier>DOI: 10.1109/CDC.2008.4739219</identifier><identifier>LCCN: 79-640961</identifier><language>eng</language><publisher>IEEE</publisher><subject>Cost function ; Frequency domain analysis ; Interpolation ; Iterative algorithms ; Large-scale systems ; Optimal control ; Reduced order systems ; Signal processing algorithms ; Systems engineering and theory ; Time domain analysis</subject><ispartof>2008 47th IEEE Conference on Decision and Control, 2008, p.4209-4214</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/4739219$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>310,311,786,790,795,796,2071,27958,55271</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/4739219$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Salimbahrami, B.</creatorcontrib><creatorcontrib>Eid, R.</creatorcontrib><creatorcontrib>Lohmann, B.</creatorcontrib><title>On the choice of an optimal interpolation point in Krylov-based order reduction</title><title>2008 47th IEEE Conference on Decision and Control</title><addtitle>CDC</addtitle><description>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 ¿ in the Laguerre basis. Minimizing appropriate cost functions with very few iterations is the key point toward finding this best interpolation point.</description><subject>Cost function</subject><subject>Frequency domain analysis</subject><subject>Interpolation</subject><subject>Iterative algorithms</subject><subject>Large-scale systems</subject><subject>Optimal control</subject><subject>Reduced order systems</subject><subject>Signal processing algorithms</subject><subject>Systems engineering and theory</subject><subject>Time domain analysis</subject><issn>0191-2216</issn><isbn>9781424431236</isbn><isbn>1424431239</isbn><isbn>9781424431243</isbn><isbn>1424431247</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2008</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><recordid>eNpVkEFLxDAUhCO6YF33LnjJH2jNS9KX5ijVVXGhFz0vSZqwldqUtAr77624F0_DNwzDMITcACsAmL6rH-qCM1YVUgnNQZ-RjVYVSC6lAC7F-T8WeEEyBhpyzgFXJFM6R8k0wiW5mqYPtjQxxIw0zUDng6fuEDvnaQzUDDSOc_dpetoNs09j7M3cxYGOceHFo6_p2Mfv3JrJtzSm1ieafPvlflPXZBVMP_nNSdfkffv4Vj_nu-bppb7f5R2ocs4FBCUEd0oKK7VlwXFEw5wwpXauVGgqsCV33LOqlcZ55BhkZdEic-iCWJPbv97Oe78f07I3Hfenb8QP98NTXw</recordid><startdate>200812</startdate><enddate>200812</enddate><creator>Salimbahrami, B.</creator><creator>Eid, R.</creator><creator>Lohmann, B.</creator><general>IEEE</general><scope>6IE</scope><scope>6IH</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIO</scope></search><sort><creationdate>200812</creationdate><title>On the choice of an optimal interpolation point in Krylov-based order reduction</title><author>Salimbahrami, B. ; Eid, R. ; Lohmann, B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-31f7332c743b49b0fc266a0c3a59cc576a81b52c2e08d4ace626f48b6b60c6cf3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Cost function</topic><topic>Frequency domain analysis</topic><topic>Interpolation</topic><topic>Iterative algorithms</topic><topic>Large-scale systems</topic><topic>Optimal control</topic><topic>Reduced order systems</topic><topic>Signal processing algorithms</topic><topic>Systems engineering and theory</topic><topic>Time domain analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Salimbahrami, B.</creatorcontrib><creatorcontrib>Eid, R.</creatorcontrib><creatorcontrib>Lohmann, B.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan (POP) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEL</collection><collection>IEEE Proceedings Order Plans (POP) 1998-present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Salimbahrami, B.</au><au>Eid, R.</au><au>Lohmann, B.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>On the choice of an optimal interpolation point in Krylov-based order reduction</atitle><btitle>2008 47th IEEE Conference on Decision and Control</btitle><stitle>CDC</stitle><date>2008-12</date><risdate>2008</risdate><spage>4209</spage><epage>4214</epage><pages>4209-4214</pages><issn>0191-2216</issn><isbn>9781424431236</isbn><isbn>1424431239</isbn><eisbn>9781424431243</eisbn><eisbn>1424431247</eisbn><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 ¿ in the Laguerre basis. Minimizing appropriate cost functions with very few iterations is the key point toward finding this best interpolation point.</abstract><pub>IEEE</pub><doi>10.1109/CDC.2008.4739219</doi><tpages>6</tpages></addata></record>
fulltext fulltext_linktorsrc
identifier ISSN: 0191-2216
ispartof 2008 47th IEEE Conference on Decision and Control, 2008, p.4209-4214
issn 0191-2216
language eng
recordid cdi_ieee_primary_4739219
source IEEE Electronic Library (IEL) Conference Proceedings
subjects Cost function
Frequency domain analysis
Interpolation
Iterative algorithms
Large-scale systems
Optimal control
Reduced order systems
Signal processing algorithms
Systems engineering and theory
Time domain analysis
title On the choice of an optimal interpolation point in Krylov-based order reduction
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-09-23T02%3A24%3A10IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-ieee_6IE&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=On%20the%20choice%20of%20an%20optimal%20interpolation%20point%20in%20Krylov-based%20order%20reduction&rft.btitle=2008%2047th%20IEEE%20Conference%20on%20Decision%20and%20Control&rft.au=Salimbahrami,%20B.&rft.date=2008-12&rft.spage=4209&rft.epage=4214&rft.pages=4209-4214&rft.issn=0191-2216&rft.isbn=9781424431236&rft.isbn_list=1424431239&rft_id=info:doi/10.1109/CDC.2008.4739219&rft.eisbn=9781424431243&rft.eisbn_list=1424431247&rft_dat=%3Cieee_6IE%3E4739219%3C/ieee_6IE%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-i175t-31f7332c743b49b0fc266a0c3a59cc576a81b52c2e08d4ace626f48b6b60c6cf3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rft_ieee_id=4739219&rfr_iscdi=true