{"id":"https://openalex.org/W4210579225","doi":"https://doi.org/10.1109/cdc45484.2021.9683148","title":"Optimal H<sub>\u221e</sub> LMI-Based Model Reduction by Moment Matching for Linear Time-Invariant Models","display_name":"Optimal H<sub>\u221e</sub> LMI-Based Model Reduction by Moment Matching for Linear Time-Invariant Models","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W4210579225","doi":"https://doi.org/10.1109/cdc45484.2021.9683148"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9683148","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683148","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pure.tue.nl/ws/files/199389765/Optimal_H_LMI_Based_Model_Reduction_by_Moment_Matching_for_Linear_Time_Invariant_Models.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045435689","display_name":"M.F. Shakib","orcid":"https://orcid.org/0000-0003-4299-9433"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"M. F. Shakib","raw_affiliation_strings":["Eindhoven University of Technology,Department of Mechanical Engineering,Eindhoven,The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology,Department of Mechanical Engineering,Eindhoven,The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053775140","display_name":"Giordano Scarciotti","orcid":"https://orcid.org/0000-0001-5807-9004"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"G. Scarciotti","raw_affiliation_strings":["Imperial College London,Department of Electrical and Electronic Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Imperial College London,Department of Electrical and Electronic Engineering","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002669063","display_name":"Marc Jungers","orcid":"https://orcid.org/0000-0002-6670-3249"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. Jungers","raw_affiliation_strings":["Universit&#x00E9; de Lorraine,CNRS, CRAN,Nancy,France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; de Lorraine,CNRS, CRAN,Nancy,France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792","https://openalex.org/I90183372"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067237042","display_name":"A. Pogromsky","orcid":"https://orcid.org/0000-0001-8755-9832"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"A. Y. Pogromsky","raw_affiliation_strings":["Eindhoven University of Technology,Department of Mechanical Engineering,Eindhoven,The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology,Department of Mechanical Engineering,Eindhoven,The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009007685","display_name":"Alexey Pavlov","orcid":"https://orcid.org/0000-0002-6211-6258"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"A. Pavlov","raw_affiliation_strings":["NTNU,Department of Geoscience and Petroleum,Trondheim,Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NTNU,Department of Geoscience and Petroleum,Trondheim,Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004028181","display_name":"Nathan van de Wouw","orcid":"https://orcid.org/0000-0002-6745-9137"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]},{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"N. van de Wouw","raw_affiliation_strings":["Eindhoven University of Technology,Department of Mechanical Engineering,Eindhoven,The Netherlands","University of Minnesota, Minneapolis, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology,Department of Mechanical Engineering,Eindhoven,The Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"University of Minnesota, Minneapolis, U.S.A","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0865,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.80197694,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"6914","last_page":"6919"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9990000128746033,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.762309193611145},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6500085592269897},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.5635489821434021},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.5551608800888062},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5510408282279968},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.537112295627594},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5301345586776733},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5132905840873718},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.508202075958252},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.49032238125801086},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.46985307335853577},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38690099120140076},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.2993113398551941},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.264055997133255},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19488519430160522},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12018990516662598},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09235438704490662},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.07174119353294373},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.07082360982894897}],"concepts":[{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.762309193611145},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6500085592269897},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.5635489821434021},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.5551608800888062},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5510408282279968},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.537112295627594},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5301345586776733},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5132905840873718},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.508202075958252},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.49032238125801086},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.46985307335853577},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38690099120140076},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2993113398551941},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.264055997133255},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19488519430160522},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12018990516662598},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09235438704490662},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.07174119353294373},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.07082360982894897},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc45484.2021.9683148","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683148","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/1b5223c7-be18-4f46-a93c-be8a0fec8b4d","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/1b5223c7-be18-4f46-a93c-be8a0fec8b4d","pdf_url":"https://pure.tue.nl/ws/files/199389765/Optimal_H_LMI_Based_Model_Reduction_by_Moment_Matching_for_Linear_Time_Invariant_Models.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Shakib, M F, Scarciotti, G, Jungers, M, Pogromskiy, A Y, Pavlov, A & van de Wouw, N 2022, Optimal H\u221e LMI-Based Model Reduction by Moment Matching for Linear Time-Invariant Models. in 60th IEEE Conference on Decision and Control (CDC 2021)., 9683148, Institute of Electrical and Electronics Engineers, pp. 6914-6919, 60th IEEE Conference on Decision and Control, CDC 2021, Austin, Texas, United States, 13/12/21. https://doi.org/10.1109/CDC45484.2021.9683148","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/97295","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/97295","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"Conference Paper"},{"id":"pmh:tue:oai:pure.tue.nl:publications/1b5223c7-be18-4f46-a93c-be8a0fec8b4d","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/1b5223c7-be18-4f46-a93c-be8a0fec8b4d","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"60th IEEE Conference on Decision and Control (CDC 2021), 6914 - 6919","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/1b5223c7-be18-4f46-a93c-be8a0fec8b4d","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/1b5223c7-be18-4f46-a93c-be8a0fec8b4d","pdf_url":"https://pure.tue.nl/ws/files/199389765/Optimal_H_LMI_Based_Model_Reduction_by_Moment_Matching_for_Linear_Time_Invariant_Models.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Shakib, M F, Scarciotti, G, Jungers, M, Pogromskiy, A Y, Pavlov, A & van de Wouw, N 2022, Optimal H\u221e LMI-Based Model Reduction by Moment Matching for Linear Time-Invariant Models. in 60th IEEE Conference on Decision and Control (CDC 2021)., 9683148, Institute of Electrical and Electronics Engineers, pp. 6914-6919, 60th IEEE Conference on Decision and Control, CDC 2021, Austin, Texas, United States, 13/12/21. https://doi.org/10.1109/CDC45484.2021.9683148","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4210579225.pdf","grobid_xml":"https://content.openalex.org/works/W4210579225.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1551480811","https://openalex.org/W1571672195","https://openalex.org/W1966992674","https://openalex.org/W1984714339","https://openalex.org/W2103960654","https://openalex.org/W2119627461","https://openalex.org/W2140517198","https://openalex.org/W2170863263","https://openalex.org/W2900918709","https://openalex.org/W2967453874","https://openalex.org/W2981577687","https://openalex.org/W6756319114"],"related_works":["https://openalex.org/W2165589608","https://openalex.org/W3093557575","https://openalex.org/W3182767856","https://openalex.org/W2367652182","https://openalex.org/W2037074416","https://openalex.org/W2101207231","https://openalex.org/W2741873457","https://openalex.org/W1519931592","https://openalex.org/W2319983895","https://openalex.org/W2142192217"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"an":[3],"approach":[4,17,89],"to":[5],"model":[6],"order":[7],"reduction":[8],"of":[9,25,30,87],"stable":[10],"linear":[11],"time-invariant":[12],"(LTI)":[13],"models.":[14],"The":[15,47,85],"proposed":[16],"extends":[18],"time-domain":[19],"moment":[20,51],"matching":[21,52],"by":[22],"the":[23,26,31,35,38,69,74,88],"minimization":[24],"${\\mathcal{H}_\\infty":[27,49,81],"}$":[28,50,82],"norm":[29],"error":[32],"dynamics":[33],"characterizing":[34],"difference":[36],"between":[37],"full-order":[39],"and":[40],"reduced-order":[41,83],"models":[42],"given":[43],"fixed":[44],"interpolation":[45],"points.":[46],"optimal":[48],"problem":[53,58],"is":[54,90],"a":[55,63,79,93],"constrained":[56],"optimization":[57],"with":[59],"bilinear":[60],"constraints.":[61],"Introducing":[62],"novel":[64],"numerical":[65,94],"procedure,":[66],"we":[67],"minimize":[68],"approximation":[70],"error,":[71],"while":[72],"respecting":[73],"constraints":[75],"and,":[76],"thereby,":[77],"find":[78],"suboptimal":[80],"model.":[84],"effectiveness":[86],"illustrated":[91],"in":[92],"example.":[95]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2022-02-08T00:00:00"}