{"id":"https://openalex.org/W2790196489","doi":"https://doi.org/10.1080/00207179.2018.1440087","title":"Balanced truncation for temporal- and spatial-LPV interconnected systems based on the full block S-procedure","display_name":"Balanced truncation for temporal- and spatial-LPV interconnected systems based on the full block S-procedure","publication_year":2018,"publication_date":"2018-02-22","ids":{"openalex":"https://openalex.org/W2790196489","doi":"https://doi.org/10.1080/00207179.2018.1440087","mag":"2790196489"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2018.1440087","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2018.1440087","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","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/A5036306821","display_name":"Fatimah Al-Taie","orcid":"https://orcid.org/0000-0002-2164-4820"},"institutions":[{"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"]},{"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/I56409017","display_name":"Nahrain University","ror":"https://ror.org/05v2p9075","country_code":"IQ","type":"education","lineage":["https://openalex.org/I56409017"]}],"countries":["DE","IQ"],"is_corresponding":true,"raw_author_name":"Fatimah Al-Taie","raw_affiliation_strings":["Department of Mathematics and Computer applications, Al-Nahrain University, College of Science , Baghdad, Iraq","Institute of Control Systems, Hamburg University of Technology , Hamburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer applications, Al-Nahrain University, College of Science , Baghdad, Iraq","institution_ids":["https://openalex.org/I56409017"]},{"raw_affiliation_string":"Institute of Control Systems, Hamburg University of Technology , Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]}]},{"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":["Institute of Control Systems, Hamburg University of Technology , Hamburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Control Systems, Hamburg University of Technology , Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036306821"],"corresponding_institution_ids":["https://openalex.org/I159176309","https://openalex.org/I56409017","https://openalex.org/I884043246"],"apc_list":null,"apc_paid":null,"fwci":0.444,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.60068583,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"92","issue":"10","first_page":"2396","last_page":"2407"},"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/T11372","display_name":"Hydraulic and Pneumatic Systems","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T12810","display_name":"Real-time simulation and control systems","score":0.9951000213623047,"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/observability","display_name":"Observability","score":0.8426193594932556},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.7530880570411682},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6668199300765991},{"id":"https://openalex.org/keywords/linear-fractional-transformation","display_name":"Linear fractional transformation","score":0.6507997512817383},{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.5219478011131287},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5099748373031616},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.49421218037605286},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4596393406391144},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4525536596775055},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.450370728969574},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4294511079788208},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.42791515588760376},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4252516031265259},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.42129674553871155},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34264886379241943},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.21956652402877808},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2123463749885559},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.2114579975605011},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.13181817531585693}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.8426193594932556},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.7530880570411682},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6668199300765991},{"id":"https://openalex.org/C2777376839","wikidata":"https://www.wikidata.org/wiki/Q18354190","display_name":"Linear fractional transformation","level":4,"score":0.6507997512817383},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.5219478011131287},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5099748373031616},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.49421218037605286},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4596393406391144},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4525536596775055},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.450370728969574},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4294511079788208},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.42791515588760376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4252516031265259},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.42129674553871155},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34264886379241943},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.21956652402877808},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2123463749885559},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2114579975605011},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.13181817531585693},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207179.2018.1440087","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2018.1440087","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"},{"id":"pmh:oai:tore.tuhh.de:11420/10855","is_oa":false,"landing_page_url":"http://hdl.handle.net/11420/10855","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":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W187998072","https://openalex.org/W1485154277","https://openalex.org/W1489029963","https://openalex.org/W1552780717","https://openalex.org/W1600783427","https://openalex.org/W1984714339","https://openalex.org/W1988376519","https://openalex.org/W2012110213","https://openalex.org/W2016701617","https://openalex.org/W2020038588","https://openalex.org/W2023685280","https://openalex.org/W2031847021","https://openalex.org/W2035758701","https://openalex.org/W2048750073","https://openalex.org/W2053506009","https://openalex.org/W2064733273","https://openalex.org/W2067633254","https://openalex.org/W2070032165","https://openalex.org/W2079665343","https://openalex.org/W2082483338","https://openalex.org/W2088872157","https://openalex.org/W2092667014","https://openalex.org/W2108311308","https://openalex.org/W2109015824","https://openalex.org/W2111836897","https://openalex.org/W2126903321","https://openalex.org/W2128834174","https://openalex.org/W2144179318","https://openalex.org/W2145399685","https://openalex.org/W2168782291","https://openalex.org/W2287402837","https://openalex.org/W2307333708","https://openalex.org/W2486483660","https://openalex.org/W2520005190","https://openalex.org/W2582667563","https://openalex.org/W2734929890","https://openalex.org/W4206226097","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2171254955","https://openalex.org/W3003866875","https://openalex.org/W2133946365","https://openalex.org/W2002781317","https://openalex.org/W2069170663","https://openalex.org/W4243077601","https://openalex.org/W1783908245","https://openalex.org/W2963909787","https://openalex.org/W4288087874","https://openalex.org/W2982347086"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3],"technique":[4,40],"for":[5,92],"model":[6,89,119],"order":[7,90],"reduction":[8,91],"of":[9,30,37,79,88,98,120],"exponentially":[10],"stable":[11],"temporal-":[12],"and":[13,75,128],"spatial-LPV":[14],"(Linear":[15],"Parameter":[16],"Varying)":[17],"interconnected":[18,118],"systems":[19,94],"represented":[20],"in":[21,95],"linear":[22],"fractional":[23],"transformation":[24,48],"form,":[25],"based":[26],"on":[27],"the":[28,38,44,52,55,61,66,76,80,86,96,102,111],"application":[29,112],"full":[31],"block":[32,64],"S-procedure.":[33],"The":[34,46,69,82,106],"first":[35],"stage":[36],"proposed":[39,83],"is":[41,49,58],"to":[42,51,113],"balance":[43],"system.":[45,68,81],"balancing":[47],"applied":[50],"nominal":[53],"system;":[54],"reduced":[56,70],"system":[57],"connected":[59],"with":[60,110],"same":[62],"scheduling":[63,103],"as":[65],"original":[67],"models":[71],"preserve":[72],"exponential":[73],"stability":[74],"spatial":[77],"structure":[78],"approach":[84],"simplifies":[85],"problem":[87],"LPV":[93],"sense":[97],"avoiding":[99],"gridding":[100],"over":[101],"parameter":[104],"range.":[105],"results":[107],"are":[108,131],"illustrated":[109],"an":[114,121],"experimentally":[115],"identified":[116],"spatially":[117],"actuated":[122],"beam.":[123],"In":[124],"addition,":[125],"extended":[126],"reachability":[127],"observability":[129],"matrices":[130],"presented.":[132]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
