{"id":"https://openalex.org/W2068137054","doi":"https://doi.org/10.1515/auto-2013-1072","title":"Parametric Model Order Reduction of Port-Hamiltonian Systems by Matrix Interpolation","display_name":"Parametric Model Order Reduction of Port-Hamiltonian Systems by Matrix Interpolation","publication_year":2014,"publication_date":"2014-08-27","ids":{"openalex":"https://openalex.org/W2068137054","doi":"https://doi.org/10.1515/auto-2013-1072","mag":"2068137054"},"language":"en","primary_location":{"id":"doi:10.1515/auto-2013-1072","is_oa":false,"landing_page_url":"https://doi.org/10.1515/auto-2013-1072","pdf_url":null,"source":{"id":"https://openalex.org/S4210170077","display_name":"at - Automatisierungstechnik","issn_l":"0178-2312","issn":["0178-2312","2196-677X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319967","host_organization_name":"R. Oldenbourg Verlag","host_organization_lineage":["https://openalex.org/P4310319967"],"host_organization_lineage_names":["R. Oldenbourg Verlag"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"at - Automatisierungstechnik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/20.500.11850/89005","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086334164","display_name":"Markus Giftthaler","orcid":"https://orcid.org/0000-0002-1839-9449"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Markus Giftthaler","raw_affiliation_strings":["Department of Mechanical and Process Engineering, ETH Z\u00fcrich, Sonneggstr. 3, CH-8092 Z\u00fcrich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Process Engineering, ETH Z\u00fcrich, Sonneggstr. 3, CH-8092 Z\u00fcrich","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101415137","display_name":"Thomas Wolf","orcid":"https://orcid.org/0009-0009-1646-0574"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Wolf","raw_affiliation_strings":["Institute of Automatic Control, Technische Universit\u00e4t M\u00fcnchen, Boltzmannstr. 15, D-85748 Garching bei M\u00fcnchen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automatic Control, Technische Universit\u00e4t M\u00fcnchen, Boltzmannstr. 15, D-85748 Garching bei M\u00fcnchen","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029440757","display_name":"Heiko K. F. Panzer","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Heiko K.\u202fF. Panzer","raw_affiliation_strings":["Institute of Automatic Control, Technische Universit\u00e4t M\u00fcnchen, Boltzmannstr. 15, D-85748 Garching bei M\u00fcnchen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automatic Control, Technische Universit\u00e4t M\u00fcnchen, Boltzmannstr. 15, D-85748 Garching bei M\u00fcnchen","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006081522","display_name":"Boris Lohmann","orcid":"https://orcid.org/0000-0002-7881-8385"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Boris Lohmann","raw_affiliation_strings":["Institute of Automatic Control, Technische Universit\u00e4t M\u00fcnchen, Boltzmannstr. 15, D-85748 Garching bei M\u00fcnchen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automatic Control, Technische Universit\u00e4t M\u00fcnchen, Boltzmannstr. 15, D-85748 Garching bei M\u00fcnchen","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086334164"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":0.4579,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.6490299,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"62","issue":"9","first_page":"619","last_page":"628"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994999766349792,"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":0.9994999766349792,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9977999925613403,"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"}},{"id":"https://openalex.org/T12810","display_name":"Real-time simulation and control systems","score":0.9941999912261963,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6108078956604004},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6006008982658386},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.57826167345047},{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.5667755007743835},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5197824835777283},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4859062731266022},{"id":"https://openalex.org/keywords/passivity","display_name":"Passivity","score":0.46789348125457764},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4054149389266968},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34317663311958313},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3352707028388977},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31674933433532715},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1515113115310669},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.139926940202713},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0683186948299408}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6108078956604004},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6006008982658386},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.57826167345047},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.5667755007743835},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5197824835777283},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4859062731266022},{"id":"https://openalex.org/C2778809601","wikidata":"https://www.wikidata.org/wiki/Q1045736","display_name":"Passivity","level":2,"score":0.46789348125457764},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4054149389266968},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34317663311958313},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3352707028388977},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31674933433532715},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1515113115310669},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.139926940202713},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0683186948299408},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"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/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1515/auto-2013-1072","is_oa":false,"landing_page_url":"https://doi.org/10.1515/auto-2013-1072","pdf_url":null,"source":{"id":"https://openalex.org/S4210170077","display_name":"at - Automatisierungstechnik","issn_l":"0178-2312","issn":["0178-2312","2196-677X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319967","host_organization_name":"R. Oldenbourg Verlag","host_organization_lineage":["https://openalex.org/P4310319967"],"host_organization_lineage_names":["R. Oldenbourg Verlag"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"at - Automatisierungstechnik","raw_type":"journal-article"},{"id":"pmh:oai:doc.rero.ch:293346","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400148","display_name":"reroDoc Digital Library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/89005","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/89005","pdf_url":null,"source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"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":"at - Automatisierungstechnik, 62 (9)","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.3929/ethz-b-000089005","is_oa":true,"landing_page_url":"https://doi.org/10.3929/ethz-b-000089005","pdf_url":null,"source":{"id":"https://openalex.org/S7407051236","display_name":"ETH Z\u00fcrich Research Collection","issn_l":null,"issn":[],"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Other"}],"best_oa_location":{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/89005","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/89005","pdf_url":null,"source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"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":"at - Automatisierungstechnik, 62 (9)","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W110690611","https://openalex.org/W1551480811","https://openalex.org/W1977430076","https://openalex.org/W2051932246","https://openalex.org/W2062883407","https://openalex.org/W2103712032","https://openalex.org/W2141770513","https://openalex.org/W2152067455","https://openalex.org/W2312884521","https://openalex.org/W2751491573","https://openalex.org/W4214690803"],"related_works":["https://openalex.org/W4233304828","https://openalex.org/W4239268637","https://openalex.org/W1977819874","https://openalex.org/W2952841825","https://openalex.org/W2085176909","https://openalex.org/W2051296765","https://openalex.org/W2960878236","https://openalex.org/W153449849","https://openalex.org/W2792365087","https://openalex.org/W2768558701"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"parametric":[4],"model":[5],"order":[6,35],"reduction":[7],"of":[8,28,47,53],"linear":[9],"time-invariant":[10],"systems":[11,19],"by":[12,59],"matrix":[13,26],"interpolation":[14,27],"is":[15,32,57],"adapted":[16],"to":[17,36],"large-scale":[18],"in":[20,34],"port-Hamiltonian":[21,39],"form.":[22],"A":[23],"new":[24,55],"weighted":[25],"locally":[29],"reduced":[30],"models":[31],"introduced":[33],"preserve":[37],"the":[38,43,48,54],"structure,":[40],"which":[41],"guarantees":[42],"passivity":[44],"and":[45],"stability":[46],"interpolated":[49],"system.":[50],"The":[51],"performance":[52],"method":[56],"demonstrated":[58],"technical":[60],"examples.":[61]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
