{"id":"https://openalex.org/W2734929890","doi":"https://doi.org/10.23919/acc.2017.7962985","title":"Extended balanced truncation for parameter-varying multidimensional systems","display_name":"Extended balanced truncation for parameter-varying multidimensional systems","publication_year":2017,"publication_date":"2017-05-01","ids":{"openalex":"https://openalex.org/W2734929890","doi":"https://doi.org/10.23919/acc.2017.7962985","mag":"2734929890"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2017.7962985","is_oa":false,"landing_page_url":"http://doi.org/10.23919/acc.2017.7962985","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"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/A5036306821","display_name":"Fatimah Al-Taie","orcid":"https://orcid.org/0000-0002-2164-4820"},"institutions":[{"id":"https://openalex.org/I56409017","display_name":"Nahrain University","ror":"https://ror.org/05v2p9075","country_code":"IQ","type":"education","lineage":["https://openalex.org/I56409017"]}],"countries":["IQ"],"is_corresponding":false,"raw_author_name":"Fatimah Al-Taie","raw_affiliation_strings":["Al-Nahrain University, college of science, Baghdad, Iraq"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Al-Nahrain University, college of science, Baghdad, Iraq","institution_ids":["https://openalex.org/I56409017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022335223","display_name":"Herbert Werner","orcid":"https://orcid.org/0000-0003-3456-5539"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]},{"id":"https://openalex.org/I884043246","display_name":"Hamburg University of Technology","ror":"https://ror.org/04bs1pb34","country_code":"DE","type":"education","lineage":["https://openalex.org/I884043246"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Herbert Werner","raw_affiliation_strings":["Inst. of Control Syst., Hamburg Univ. of Technol., Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inst. of Control Syst., Hamburg Univ. of Technol., Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1674,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.46897484,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"394","last_page":"398"},"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/T11236","display_name":"Control Systems and Identification","score":0.9947999715805054,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9914000034332275,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.6519964933395386},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6178092360496521},{"id":"https://openalex.org/keywords/multidimensional-systems","display_name":"Multidimensional systems","score":0.5692639350891113},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3980743885040283},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3718219995498657},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28927111625671387},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10656559467315674},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.0748029351234436}],"concepts":[{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.6519964933395386},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6178092360496521},{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.5692639350891113},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3980743885040283},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3718219995498657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28927111625671387},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10656559467315674},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0748029351234436}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/acc.2017.7962985","is_oa":false,"landing_page_url":"http://doi.org/10.23919/acc.2017.7962985","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 American Control Conference (ACC)","raw_type":"proceedings-article"},{"id":"pmh:oai:tore.tuhh.de:11420/3548","is_oa":false,"landing_page_url":"http://hdl.handle.net/11420/3548","pdf_url":null,"source":{"id":"https://openalex.org/S4306401751","display_name":"tub.dok (Hamburg University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I884043246","host_organization_name":"Hamburg University of Technology","host_organization_lineage":["https://openalex.org/I884043246"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W83309883","https://openalex.org/W1518006758","https://openalex.org/W1808083106","https://openalex.org/W1964987261","https://openalex.org/W1971053378","https://openalex.org/W2016701617","https://openalex.org/W2064733273","https://openalex.org/W2080484947","https://openalex.org/W2083127736","https://openalex.org/W2109015824","https://openalex.org/W2134758725","https://openalex.org/W2145399685","https://openalex.org/W2154493903","https://openalex.org/W2157192413","https://openalex.org/W2163695847","https://openalex.org/W2165375685","https://openalex.org/W2166778103","https://openalex.org/W2287402837","https://openalex.org/W2477161890","https://openalex.org/W2486483660","https://openalex.org/W6603323563"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W1974935850","https://openalex.org/W2074350688","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W3158981924","https://openalex.org/W2382290278"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"a":[3],"novel":[4],"technique":[5],"of":[6,12],"balanced":[7],"truncation":[8],"for":[9,44],"model":[10,46],"reduction":[11,32,47],"parameter-varying":[13],"multidimensional":[14,22],"systems":[15],"in":[16],"'Roesser":[17],"Form'":[18],"is":[19,33,53],"proposed.":[20],"The":[21,31,51],"system":[23],"representation":[24],"requires":[25],"two":[26],"operators":[27],"defined":[28],"on":[29,35],"l2-space.":[30],"based":[34],"extended":[36],"Gramians.":[37],"Both,":[38],"standard":[39],"and":[40],"improved":[41],"error":[42],"bounds":[43],"the":[45,56],"problem":[48],"are":[49],"presented.":[50],"approach":[52],"demonstrated":[54],"with":[55],"application":[57],"to":[58],"an":[59],"illustrative":[60],"example.":[61]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}