{"id":"https://openalex.org/W2892931427","doi":"https://doi.org/10.1093/imamci/dny039","title":"Time/frequency-limited positive-real truncated balanced realizations","display_name":"Time/frequency-limited positive-real truncated balanced realizations","publication_year":2018,"publication_date":"2018-09-06","ids":{"openalex":"https://openalex.org/W2892931427","doi":"https://doi.org/10.1093/imamci/dny039","mag":"2892931427"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dny039","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dny039","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_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-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/A5053244772","display_name":"Umair Zulfiqar","orcid":"https://orcid.org/0000-0003-3933-8837"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Umair Zulfiqar","raw_affiliation_strings":["School of Electrical, Electronics and Computer Engineering, The University of Western Australia (UWA), Perth, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical, Electronics and Computer Engineering, The University of Western Australia (UWA), Perth, Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080309684","display_name":"Muhammad Imran","orcid":"https://orcid.org/0000-0003-1001-9648"},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Imran","raw_affiliation_strings":["Military College of Signals, National University of Sciences & Technology (NUST), Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Military College of Signals, National University of Sciences & Technology (NUST), Islamabad, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064268028","display_name":"Abdul Ghafoor","orcid":"https://orcid.org/0000-0002-6117-3656"},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Abdul Ghafoor","raw_affiliation_strings":["Military College of Signals, National University of Sciences & Technology (NUST), Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Military College of Signals, National University of Sciences & Technology (NUST), Islamabad, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108700020","display_name":"Muwahida Liaqat","orcid":null},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muwahida Liaqat","raw_affiliation_strings":["College of Electrical and Mechanical Engineering, National University of Sciences & Technology (NUST), Islamabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"College of Electrical and Mechanical Engineering, National University of Sciences & Technology (NUST), Islamabad, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5080309684"],"corresponding_institution_ids":["https://openalex.org/I929597975"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.765,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.71919263,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9997000098228455,"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":0.9997000098228455,"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/T12810","display_name":"Real-time simulation and control systems","score":0.9979000091552734,"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":0.9736999869346619,"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/benchmark","display_name":"Benchmark (surveying)","score":0.7798596620559692},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7552962303161621},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.7044463157653809},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.7018946409225464},{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.6503083109855652},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5963564515113831},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5592084527015686},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5558590888977051},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5025286674499512},{"id":"https://openalex.org/keywords/rlc-circuit","display_name":"RLC circuit","score":0.5000460147857666},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4597390592098236},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.43615737557411194},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.296470046043396},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07024317979812622}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7798596620559692},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7552962303161621},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.7044463157653809},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.7018946409225464},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.6503083109855652},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5963564515113831},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5592084527015686},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5558590888977051},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5025286674499512},{"id":"https://openalex.org/C89880566","wikidata":"https://www.wikidata.org/wiki/Q323477","display_name":"RLC circuit","level":4,"score":0.5000460147857666},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4597390592098236},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.43615737557411194},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.296470046043396},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07024317979812622},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"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},{"id":"https://openalex.org/C52192207","wikidata":"https://www.wikidata.org/wiki/Q5322","display_name":"Capacitor","level":3,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/imamci/dny039","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dny039","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_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/0016f81e-0580-425d-b78c-77c3f3789bb8","is_oa":false,"landing_page_url":"https://research-repository.uwa.edu.au/en/publications/0016f81e-0580-425d-b78c-77c3f3789bb8","pdf_url":null,"source":{"id":"https://openalex.org/S4306402492","display_name":"UWA Profiles and Research Repository (UWA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Zulfiqar , U , Imran , M , Ghafoor , A &amp; Liaqat , M 2020 , ' Time/frequency-limited positive-real truncated balanced realizations ' , IMA Journal of Mathematical Control and Information , vol. 37 , no. 1 , pp. 64-81 . https://doi.org/10.1093/imamci/dny039","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1969325212","https://openalex.org/W1973799947","https://openalex.org/W2001402263","https://openalex.org/W2037579718","https://openalex.org/W2059654224","https://openalex.org/W2064733273","https://openalex.org/W2067070250","https://openalex.org/W2072863821","https://openalex.org/W2088872157","https://openalex.org/W2107132918","https://openalex.org/W2128247688","https://openalex.org/W2151009235","https://openalex.org/W2169328438","https://openalex.org/W2188342050","https://openalex.org/W2279562973","https://openalex.org/W2417154863","https://openalex.org/W2498083155","https://openalex.org/W2509587735","https://openalex.org/W2563054324","https://openalex.org/W2569868543","https://openalex.org/W2598286738","https://openalex.org/W2773957018","https://openalex.org/W2890545451","https://openalex.org/W2974010170","https://openalex.org/W6631304108","https://openalex.org/W6725423991","https://openalex.org/W6735029605","https://openalex.org/W6740643883","https://openalex.org/W6747101528","https://openalex.org/W6754880458","https://openalex.org/W6767533808"],"related_works":["https://openalex.org/W2536265164","https://openalex.org/W2120589713","https://openalex.org/W1983689595","https://openalex.org/W2040376333","https://openalex.org/W2096076987","https://openalex.org/W2245072813","https://openalex.org/W2430756689","https://openalex.org/W4241162260","https://openalex.org/W2067716188","https://openalex.org/W2060336335"],"abstract_inverted_index":{"Many":[0],"integrated":[1],"electrical":[2],"circuits":[3,13],"and":[4,25,137],"networks":[5],"comprise":[6],"of":[7,27,38,45,59,101,149],"large":[8],"RLC":[9],"ladders.":[10],"These":[11,107],"complex":[12,29],"are":[14,34,105,123,132],"described":[15],"by":[16],"high-order":[17],"positive-real":[18,43,99],"transfer":[19,47],"functions.":[20],"To":[21],"simplify":[22],"the":[23,42,46,52,60,63,69,90,98,102,127,140,147,150],"design":[24],"analysis":[26],"these":[28],"systems,":[30],"model":[31,66],"reduction":[32,53],"techniques":[33,142],"used.":[35],"It":[36],"is":[37,49,57,143],"critical":[39],"importance":[40],"that":[41,62],"structure":[44,100],"function":[48],"retained":[50],"in":[51,89],"process.":[54],"Moreover,":[55],"it":[56],"often":[58],"interest":[61],"reduced-order":[64],"surrogate":[65],"accurately":[67],"approximates":[68],"original":[70,103],"system":[71,104],"within":[72],"a":[73,118],"limited":[74],"time":[75,92],"or":[76,93],"frequency":[77,94],"range.":[78],"In":[79],"this":[80],"paper,":[81],"truncated":[82],"balanced":[83],"realizations":[84,108],"which":[85],"ensure":[86],"good":[87],"accuracy":[88],"desired":[91],"range":[95],"without":[96],"losing":[97],"presented.":[106],"can":[109],"even":[110],"be":[111],"computed":[112],"for":[113,126],"non-minimal":[114],"systems.":[115],"Easily":[116],"computable":[117],"priori":[119],"error":[120],"bound":[121],"expressions":[122],"also":[124],"derived":[125],"proposed":[128,151],"algorithms.":[129,152],"The":[130],"algorithms":[131],"tested":[133],"on":[134],"benchmark":[135],"examples":[136],"comparison":[138],"with":[139],"existing":[141],"shown":[144],"to":[145],"highlight":[146],"efficacy":[148]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
