{"id":"https://openalex.org/W1506392284","doi":"https://doi.org/10.23919/ecc.2003.7085049","title":"Generalized LFT-based representation of parametric uncertain models","display_name":"Generalized LFT-based representation of parametric uncertain models","publication_year":2003,"publication_date":"2003-09-01","ids":{"openalex":"https://openalex.org/W1506392284","doi":"https://doi.org/10.23919/ecc.2003.7085049","mag":"1506392284"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2003.7085049","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2003.7085049","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 European Control Conference (ECC)","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/A5081386271","display_name":"Simon Hecker","orcid":"https://orcid.org/0000-0003-4455-0824"},"institutions":[{"id":"https://openalex.org/I2898391981","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","ror":"https://ror.org/04bwf3e34","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2898391981"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"S. Hecker","raw_affiliation_strings":["DLR-Oberpfaffenhofen, Institute of Robotics and Mechatronics, Wessling, Germany","German Aerospace Center, DLR\u2010Oberpfaffenhofen, Institute of Robotics and Mechatronics, D\u201082234 Wessling, Germany"],"affiliations":[{"raw_affiliation_string":"DLR-Oberpfaffenhofen, Institute of Robotics and Mechatronics, Wessling, Germany","institution_ids":[]},{"raw_affiliation_string":"German Aerospace Center, DLR\u2010Oberpfaffenhofen, Institute of Robotics and Mechatronics, D\u201082234 Wessling, Germany","institution_ids":["https://openalex.org/I2898391981"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078527242","display_name":"Andreas Varga","orcid":"https://orcid.org/0000-0002-6278-2939"},"institutions":[{"id":"https://openalex.org/I2898391981","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","ror":"https://ror.org/04bwf3e34","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2898391981"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"A. Varga","raw_affiliation_strings":["DLR-Oberpfaffenhofen, Institute of Robotics and Mechatronics, Wessling, Germany","German Aerospace Center, DLR\u2010Oberpfaffenhofen, Institute of Robotics and Mechatronics, D\u201082234 Wessling, Germany"],"affiliations":[{"raw_affiliation_string":"DLR-Oberpfaffenhofen, Institute of Robotics and Mechatronics, Wessling, Germany","institution_ids":[]},{"raw_affiliation_string":"German Aerospace Center, DLR\u2010Oberpfaffenhofen, Institute of Robotics and Mechatronics, D\u201082234 Wessling, Germany","institution_ids":["https://openalex.org/I2898391981"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081386271"],"corresponding_institution_ids":["https://openalex.org/I2898391981"],"apc_list":null,"apc_paid":null,"fwci":0.8178,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76601728,"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":"763","last_page":"768"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9987999796867371,"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/T10876","display_name":"Fault Detection 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"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","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/parametric-statistics","display_name":"Parametric statistics","score":0.7893875241279602},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.7347296476364136},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.6344459652900696},{"id":"https://openalex.org/keywords/linear-fractional-transformation","display_name":"Linear fractional transformation","score":0.5146576166152954},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5074889063835144},{"id":"https://openalex.org/keywords/state-space-representation","display_name":"State-space representation","score":0.47427257895469666},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47100889682769775},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4163854718208313},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.39101141691207886},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3855811655521393},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.3793882727622986},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3441181480884552},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34070152044296265},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26444536447525024},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.1673460602760315},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14392048120498657},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11599162220954895},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08510231971740723}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7893875241279602},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.7347296476364136},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.6344459652900696},{"id":"https://openalex.org/C2777376839","wikidata":"https://www.wikidata.org/wiki/Q18354190","display_name":"Linear fractional transformation","level":4,"score":0.5146576166152954},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5074889063835144},{"id":"https://openalex.org/C52918065","wikidata":"https://www.wikidata.org/wiki/Q230945","display_name":"State-space representation","level":2,"score":0.47427257895469666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47100889682769775},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4163854718208313},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.39101141691207886},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3855811655521393},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.3793882727622986},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3441181480884552},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34070152044296265},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26444536447525024},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.1673460602760315},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14392048120498657},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11599162220954895},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08510231971740723},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials 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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc.2003.7085049","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2003.7085049","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:elib.dlr.de:11913","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196266","display_name":"elib (German Aerospace Center)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2898391981","host_organization_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","host_organization_lineage":["https://openalex.org/I2898391981"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"NonPeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W151868298","https://openalex.org/W592312525","https://openalex.org/W1530768209","https://openalex.org/W1909621020","https://openalex.org/W1915270841","https://openalex.org/W2009801896","https://openalex.org/W2059539623","https://openalex.org/W2097199618","https://openalex.org/W2111836897","https://openalex.org/W2142461266","https://openalex.org/W2143205757","https://openalex.org/W2146560209","https://openalex.org/W2151613160","https://openalex.org/W3195133498"],"related_works":["https://openalex.org/W1585924942","https://openalex.org/W2156137519","https://openalex.org/W2154390391","https://openalex.org/W1529675490","https://openalex.org/W2774230986","https://openalex.org/W2049671005","https://openalex.org/W2008168255","https://openalex.org/W2041766398","https://openalex.org/W1585146120","https://openalex.org/W1507089487"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,29],"introduce":[4],"a":[5,39,50],"general":[6],"descriptor-type":[7],"LFT":[8,32],"representation":[9,16],"of":[10,34,38,52],"rational":[11],"parametric":[12],"matrices.":[13],"This":[14],"generalized":[15],"allows":[17],"to":[18],"represent":[19],"arbitrary":[20],"rationally":[21,48],"dependent":[22],"multivariate":[23],"functions":[24],"in":[25],"LFT-form.":[26],"As":[27],"applications,":[28],"develop":[30],"explicit":[31],"realizations":[33],"the":[35,70],"transfer-function":[36],"matrix":[37],"linear":[40],"descriptor":[41,57],"system":[42],"whose":[43],"state":[44],"space":[45],"matrices":[46],"depend":[47],"on":[49],"set":[51],"uncertain":[53],"parameters.":[54],"The":[55],"resulting":[56],"LFT-based":[58,72],"uncertainty":[59],"models":[60],"generally":[61],"have":[62],"smaller":[63],"orders":[64],"than":[65],"those":[66],"obtained":[67],"by":[68],"using":[69],"standard":[71],"modelling":[73],"approach.":[74]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
