{"id":"https://openalex.org/W2146678473","doi":"https://doi.org/10.1109/cdc.2009.5400626","title":"Interpolation-based &amp;#x210C;&lt;inf&gt;2&lt;/inf&gt; model reduction for port-Hamiltonian systems","display_name":"Interpolation-based &amp;#x210C;&lt;inf&gt;2&lt;/inf&gt; model reduction for port-Hamiltonian systems","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2146678473","doi":"https://doi.org/10.1109/cdc.2009.5400626","mag":"2146678473"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400626","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.tue.nl/en/publications/5d64e0e7-750e-4b86-aeae-ea9ed57745e1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028332862","display_name":"Serkan Gugercin","orcid":"https://orcid.org/0000-0003-4564-5999"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Gugercin","raw_affiliation_strings":["Department of Mathematics, Virginia Technology, Blacksburg, VA, USA","Department of Mathematics, Virginia Tech., Blacksburg, 24061-0123, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Virginia Technology, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Mathematics, Virginia Tech., Blacksburg, 24061-0123, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113963657","display_name":"Rostyslav V. Polyuga","orcid":null},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"R.V. Polyuga","raw_affiliation_strings":["Institute for Mathematics and Computing Science, University of Groningam, Groningen, Netherlands","Institute for Mathematics and Computing Science, University of Groningen, P.O.Box 407, 9700 AK, the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics and Computing Science, University of Groningam, Groningen, Netherlands","institution_ids":["https://openalex.org/I169381384"]},{"raw_affiliation_string":"Institute for Mathematics and Computing Science, University of Groningen, P.O.Box 407, 9700 AK, the Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084513956","display_name":"Christopher Beattie","orcid":"https://orcid.org/0000-0003-3302-4845"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C.A. Beattie","raw_affiliation_strings":["Department of Mathematics, Virginia Technology, Blacksburg, VA, USA","Department of Mathematics, Virginia Tech., Blacksburg, 24061-0123, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Virginia Technology, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Mathematics, Virginia Tech., Blacksburg, 24061-0123, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005018540","display_name":"Arjan van der Schaft","orcid":"https://orcid.org/0000-0002-2383-9234"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"A.J. van der Schaft","raw_affiliation_strings":["Institute for Mathematics and Computing Science, University of Groningam, Groningen, Netherlands","Institute for Mathematics and Computing Science, University of Groningen, P.O.Box 407, 9700 AK, the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics and Computing Science, University of Groningam, Groningen, Netherlands","institution_ids":["https://openalex.org/I169381384"]},{"raw_affiliation_string":"Institute for Mathematics and Computing Science, University of Groningen, P.O.Box 407, 9700 AK, the Netherlands","institution_ids":["https://openalex.org/I169381384"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8399,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.9178314,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"5362","last_page":"5369"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.6989320516586304},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.6127564907073975},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.49253663420677185},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46839404106140137},{"id":"https://openalex.org/keywords/port","display_name":"Port (circuit theory)","score":0.44673794507980347},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4421791732311249},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.43104803562164307},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41311386227607727},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39984095096588135},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32894277572631836},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32139283418655396},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24299436807632446},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1566731035709381},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13619014620780945}],"concepts":[{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.6989320516586304},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.6127564907073975},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.49253663420677185},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46839404106140137},{"id":"https://openalex.org/C32802771","wikidata":"https://www.wikidata.org/wiki/Q2443617","display_name":"Port (circuit theory)","level":2,"score":0.44673794507980347},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4421791732311249},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.43104803562164307},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41311386227607727},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39984095096588135},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32894277572631836},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32139283418655396},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24299436807632446},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1566731035709381},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13619014620780945},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2009.5400626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400626","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:openaire/5d64e0e7-750e-4b86-aeae-ea9ed57745e1","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/5d64e0e7-750e-4b86-aeae-ea9ed57745e1","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Gugercin, S, Polyuga, R V, Beattie, C A & Schaft, van der, A J 2009, Interpolation-based H2 model reduction for port-Hamiltonian systems. in Proceedings of the 48th IEEE Conference on Decision and Control (CDC 2009, Shanghai, China, December 15-18, 2009). Institute of Electrical and Electronics Engineers, pp. 5362-5369. https://doi.org/10.1109/CDC.2009.5400626","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:tue:oai:pure.tue.nl:publications/5d64e0e7-750e-4b86-aeae-ea9ed57745e1","is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/5d64e0e7-750e-4b86-aeae-ea9ed57745e1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 48th IEEE Conference on Decision and Control (CDC 2009, Shanghai, China, December 15-18, 2009), 5362 - 5369","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":{"id":"pmh:oai:pure.tue.nl:openaire/5d64e0e7-750e-4b86-aeae-ea9ed57745e1","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/5d64e0e7-750e-4b86-aeae-ea9ed57745e1","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Gugercin, S, Polyuga, R V, Beattie, C A & Schaft, van der, A J 2009, Interpolation-based H2 model reduction for port-Hamiltonian systems. in Proceedings of the 48th IEEE Conference on Decision and Control (CDC 2009, Shanghai, China, December 15-18, 2009). Institute of Electrical and Electronics Engineers, pp. 5362-5369. https://doi.org/10.1109/CDC.2009.5400626","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.7699999809265137,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G2352519312","display_name":"Computation and Analysis of Reduced-Order Models for Distributed Parameter Systems","funder_award_id":"0513542","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G533010850","display_name":"Model Reduction with Rational Krylov Methods","funder_award_id":"0505971","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W110690611","https://openalex.org/W136129836","https://openalex.org/W1539600348","https://openalex.org/W1551480811","https://openalex.org/W1606566422","https://openalex.org/W1954186284","https://openalex.org/W1965623622","https://openalex.org/W1966992674","https://openalex.org/W1993384420","https://openalex.org/W1993454172","https://openalex.org/W2011053055","https://openalex.org/W2017523431","https://openalex.org/W2064610948","https://openalex.org/W2069970858","https://openalex.org/W2076742685","https://openalex.org/W2080925234","https://openalex.org/W2081996112","https://openalex.org/W2085724310","https://openalex.org/W2095477585","https://openalex.org/W2098158506","https://openalex.org/W2106654677","https://openalex.org/W2136195193","https://openalex.org/W2144355672","https://openalex.org/W2147425165","https://openalex.org/W2152349032","https://openalex.org/W2159122878","https://openalex.org/W2224448368","https://openalex.org/W4214690803","https://openalex.org/W4237159693","https://openalex.org/W6604438445","https://openalex.org/W6636497128","https://openalex.org/W6653288444","https://openalex.org/W7052273657"],"related_works":["https://openalex.org/W2753223082","https://openalex.org/W3025119703","https://openalex.org/W2347757802","https://openalex.org/W600655143","https://openalex.org/W4248792787","https://openalex.org/W4385372470","https://openalex.org/W1559940255","https://openalex.org/W2373396576","https://openalex.org/W2978632086","https://openalex.org/W2073165547"],"abstract_inverted_index":{"Port":[0],"network":[1],"modeling":[2],"of":[3,12,26,38],"physical":[4],"systems":[5,30],"leads":[6],"directly":[7],"to":[8,50,66,98],"an":[9,51],"important":[10],"class":[11],"passive":[13],"state":[14],"space":[15],"systems:":[16],"port-Hamiltonian":[17,29,33,86],"systems.":[18],"We":[19],"consider":[20,62],"here":[21],"methods":[22,60,69],"for":[23],"model":[24],"reduction":[25],"large":[27],"scale":[28],"that":[31,43,110],"preserve":[32],"structure":[34,87],"and":[35,70,77,88],"are":[36,63,72,90,111],"capable":[37],"yielding":[39],"reduced":[40,83],"order":[41],"models":[42,84],"satisfy":[44],"first-order":[45],"optimality":[46],"conditions":[47],"with":[48],"respect":[49],"H":[52],"<sub":[53],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[54],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[55],"system":[56,79,102],"error":[57],"metric.":[58],"The":[59,81],"we":[61],"closely":[64],"related":[65],"rational":[67],"Krylov":[68],"variants":[71],"described":[73],"using":[74],"both":[75],"energy":[76],"co-energy":[78],"coordinates.":[80],"resulting":[82],"have":[85],"therefore":[89],"guaranteed":[91],"passive,":[92],"while":[93],"still":[94],"retaining":[95],"the":[96,100],"flexibility":[97],"interpolate":[99],"true":[101],"transfer":[103],"function":[104],"at":[105],"any":[106],"(complex)":[107],"frequency":[108],"points":[109],"desired.":[112]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2016-06-24T00:00:00"}