{"id":"https://openalex.org/W3134573235","doi":"https://doi.org/10.1093/imamci/dnab003","title":"Frequency-weighted \u210c2-pseudo-optimal model order reduction","display_name":"Frequency-weighted \u210c2-pseudo-optimal model order reduction","publication_year":2021,"publication_date":"2021-01-13","ids":{"openalex":"https://openalex.org/W3134573235","doi":"https://doi.org/10.1093/imamci/dnab003","mag":"3134573235"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnab003","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311647","https://openalex.org/P4310311648"],"host_organization_lineage_names":["University of Oxford","Oxford University Press"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053244772","display_name":"Umair Zulfiqar","orcid":"https://orcid.org/0000-0003-3933-8837"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"funder","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Umair Zulfiqar","raw_affiliation_strings":["School of Electrical, Electronics and Computer Engineering, The University of Western Australia (UWA), 35 Stirling Hwy, Crawley, WA 6009, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical, Electronics and Computer Engineering, The University of Western Australia (UWA), 35 Stirling Hwy, Crawley, WA 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060725044","display_name":"Victor Sreeram","orcid":"https://orcid.org/0000-0001-6762-1504"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"funder","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Victor Sreeram","raw_affiliation_strings":["School of Electrical, Electronics and Computer Engineering, The University of Western Australia (UWA), 35 Stirling Hwy, Crawley, WA 6009, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical, Electronics and Computer Engineering, The University of Western Australia (UWA), 35 Stirling Hwy, Crawley, WA 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033436747","display_name":"Mian Ilyas Ahmad","orcid":"https://orcid.org/0000-0002-4706-4146"},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"funder","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Mian Ilyas Ahmad","raw_affiliation_strings":["Research Centre for Modelling and Simulation, National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan"],"affiliations":[{"raw_affiliation_string":"Research Centre for Modelling and Simulation, National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101972073","display_name":"Xin Du","orcid":"https://orcid.org/0000-0001-7424-1438"},"institutions":[{"id":"https://openalex.org/I153473198","display_name":"North China Electric Power University","ror":"https://ror.org/04qr5t414","country_code":"CN","type":"funder","lineage":["https://openalex.org/I153473198"]},{"id":"https://openalex.org/I179060312","display_name":"Northeast Electric Power University","ror":"https://ror.org/00zqaxa34","country_code":"CN","type":"funder","lineage":["https://openalex.org/I179060312"]},{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"funder","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Du","raw_affiliation_strings":["Key Laboratory of Knowledge Automation for Industrial Processes, Ministry of Education, NO. 2 North Xisanhuan Avenue Haidian District Beijing 100089, China","Key Laboratory of Modern Power System Simulation and Control & Renewable Energy Technology, Ministry of Education (Northeast Electric Power University), 169 Changchun Rd, Chuanying District, Jilin City 132000, China","School of Mechatronic Engineering and Automation, Shanghai Key Laboratory of Power Station Automation Technology, Shanghai University, 99 Shangda Road, BaoShan District, Shanghai 200444, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Modern Power System Simulation and Control & Renewable Energy Technology, Ministry of Education (Northeast Electric Power University), 169 Changchun Rd, Chuanying District, Jilin City 132000, China","institution_ids":["https://openalex.org/I153473198","https://openalex.org/I179060312"]},{"raw_affiliation_string":"Key Laboratory of Knowledge Automation for Industrial Processes, Ministry of Education, NO. 2 North Xisanhuan Avenue Haidian District Beijing 100089, China","institution_ids":[]},{"raw_affiliation_string":"School of Mechatronic Engineering and Automation, Shanghai Key Laboratory of Power Station Automation Technology, Shanghai University, 99 Shangda Road, BaoShan District, Shanghai 200444, China","institution_ids":["https://openalex.org/I113940042"]}]}],"institution_assertions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5053244772"],"corresponding_institution_ids":["https://openalex.org/I177877127"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.701,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.784902,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":82,"max":83},"biblio":{"volume":"38","issue":"2","first_page":"622","last_page":"653"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9999,"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":0.9999,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9978,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9812,"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/model-order-reduction","display_name":"Model order reduction","score":0.55783874}],"concepts":[{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.81004345},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.65264297},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6201315},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.57249916},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.55783874},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.52290076},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5132716},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4991777},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4320374},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32954973},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.054169476},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnab003","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311647","https://openalex.org/P4310311648"],"host_organization_lineage_names":["University of Oxford","Oxford University Press"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"61873335"},{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"61873336"},{"funder":"https://openalex.org/F4320321978","funder_display_name":"State Administration of Foreign Experts Affairs","award_id":null},{"funder":"https://openalex.org/F4320326275","funder_display_name":"Higher Education Commision, Pakistan","award_id":null},{"funder":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project","award_id":"D18003"},{"funder":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China","award_id":"2020YFB"},{"funder":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China","award_id":"1708200"},{"funder":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities","award_id":"FRF-BD-19-002A"}],"datasets":[],"versions":[],"referenced_works_count":43,"referenced_works":["https://openalex.org/W1545968661","https://openalex.org/W1704490501","https://openalex.org/W1966992674","https://openalex.org/W1973799947","https://openalex.org/W1983764726","https://openalex.org/W1992686099","https://openalex.org/W1996721343","https://openalex.org/W2003883049","https://openalex.org/W2004778207","https://openalex.org/W2010554645","https://openalex.org/W2012169680","https://openalex.org/W2031798783","https://openalex.org/W2045065050","https://openalex.org/W2052068709","https://openalex.org/W2064733273","https://openalex.org/W2067070250","https://openalex.org/W2081760916","https://openalex.org/W2092039758","https://openalex.org/W2095784889","https://openalex.org/W2098158506","https://openalex.org/W2099033361","https://openalex.org/W2103960654","https://openalex.org/W2105193327","https://openalex.org/W2108660268","https://openalex.org/W2110027178","https://openalex.org/W2126718061","https://openalex.org/W2128247688","https://openalex.org/W2136195193","https://openalex.org/W2138201448","https://openalex.org/W2167309140","https://openalex.org/W2169328438","https://openalex.org/W2211802523","https://openalex.org/W2402606450","https://openalex.org/W2534444623","https://openalex.org/W2563054324","https://openalex.org/W2759755880","https://openalex.org/W2909742860","https://openalex.org/W2946577243","https://openalex.org/W297328598","https://openalex.org/W2997989985","https://openalex.org/W3143092787","https://openalex.org/W4233159945","https://openalex.org/W4256447476"],"related_works":["https://openalex.org/W4283689726","https://openalex.org/W4243077601","https://openalex.org/W3215280910","https://openalex.org/W3003866875","https://openalex.org/W2952452182","https://openalex.org/W2753035918","https://openalex.org/W2168604412","https://openalex.org/W2009900301","https://openalex.org/W1556851660","https://openalex.org/W1533836530"],"abstract_inverted_index":{"Abstract":[0],"The":[1,128],"frequency-weighted":[2,36,66,106],"model":[3,38,112],"order":[4,39],"reduction":[5,40],"techniques":[6],"are":[7],"used":[8],"to":[9,55,115,136],"find":[10],"a":[11,43,72,110,117],"lower-order":[12],"approximation":[13],"of":[14,45,68,74,93,119],"the":[15,22,27,35,46,50,64,75,81,86,90,94,104,120,125,137,142],"high-order":[16],"system":[17],"that":[18,113],"exhibits":[19],"high-fidelity":[20],"within":[21],"frequency":[23,28],"region":[24],"emphasized":[25],"by":[26,80],"weights.":[29],"In":[30,84],"this":[31,146],"paper,":[32],"we":[33],"investigate":[34],"$\\mathcal{H}_2$-pseudo-optimal":[37],"problem":[41],"wherein":[42],"subset":[44,73,118],"optimality":[47,76,122],"conditions":[48,77,123],"for":[49,63,103,124],"local":[51,126],"optimum":[52],"is":[53,78,131],"attempted":[54],"be":[56],"satisfied.":[57],"We":[58,97,140],"propose":[59],"two":[60],"iteration-free":[61],"algorithms,":[62],"single-sided":[65],"case":[67],"$\\mathcal{H}_2$-model":[69],"reduction,":[70],"where":[71],"ensured":[79],"reduced":[82,87],"system.":[83,96],"addition,":[85],"systems":[88],"retain":[89],"stability":[91],"property":[92],"original":[95],"also":[98],"present":[99],"an":[100],"iterative":[101],"algorithm":[102,130],"double-sided":[105],"case,":[107],"which":[108],"constructs":[109],"reduced-order":[111],"tends":[114],"satisfy":[116],"first-order":[121],"optimum.":[127],"proposed":[129],"computationally":[132],"efficient":[133],"as":[134],"compared":[135],"existing":[138],"algorithms.":[139],"validate":[141],"theory":[143],"developed":[144],"in":[145],"paper":[147],"on":[148],"three":[149],"numerical":[150],"examples.":[151]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3134573235","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":2}],"updated_date":"2025-04-25T00:35:26.514557","created_date":"2021-03-15"}