{"id":"https://openalex.org/W2143560398","doi":"https://doi.org/10.1109/cdc.2009.5400403","title":"A set-based framework for coherent model invalidation and parameter estimation of discrete time nonlinear systems","display_name":"A set-based framework for coherent model invalidation and parameter estimation of discrete time nonlinear systems","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2143560398","doi":"https://doi.org/10.1109/cdc.2009.5400403","mag":"2143560398"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400403","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400403","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","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/A5028716413","display_name":"Steffen Borchers","orcid":null},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke-Universit\u00e4t Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"S. Borchers","raw_affiliation_strings":["Institute for Automation Engineering, Otto von Guericke Universit\u00e4t Magdeburg, Magdeburg, Germany","Institute for Automation Engineering, Otto-von-Guericke Universit\u00e4t Magdeburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Automation Engineering, Otto von Guericke Universit\u00e4t Magdeburg, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]},{"raw_affiliation_string":"Institute for Automation Engineering, Otto-von-Guericke Universit\u00e4t Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011859209","display_name":"Philipp Rumschinski","orcid":"https://orcid.org/0000-0002-7870-0504"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke-Universit\u00e4t Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"P. Rumschinski","raw_affiliation_strings":["Institute for Automation Engineering, Otto von Guericke Universit\u00e4t Magdeburg, Magdeburg, Germany","Institute for Automation Engineering, Otto-von-Guericke Universit\u00e4t Magdeburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Automation Engineering, Otto von Guericke Universit\u00e4t Magdeburg, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]},{"raw_affiliation_string":"Institute for Automation Engineering, Otto-von-Guericke Universit\u00e4t Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082566769","display_name":"Sandro Bosio","orcid":null},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke-Universit\u00e4t Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"S. Bosio","raw_affiliation_strings":["Institute for Mathematical Optimization, Otto von Guericke Universit\u00e4t Magdeburg, Magdeburg, Germany","Institute for Mathematical Optimization, Otto-von-Guericke-Universit\u00e4t Magdeburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematical Optimization, Otto von Guericke Universit\u00e4t Magdeburg, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]},{"raw_affiliation_string":"Institute for Mathematical Optimization, Otto-von-Guericke-Universit\u00e4t Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029637448","display_name":"Robert Weismantel","orcid":null},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke-Universit\u00e4t Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"R. Weismantel","raw_affiliation_strings":["Institute for Mathematical Optimization, Otto von Guericke Universit\u00e4t Magdeburg, Magdeburg, Germany","Institute for Mathematical Optimization, Otto-von-Guericke-Universit\u00e4t Magdeburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematical Optimization, Otto von Guericke Universit\u00e4t Magdeburg, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]},{"raw_affiliation_string":"Institute for Mathematical Optimization, Otto-von-Guericke-Universit\u00e4t Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040485515","display_name":"Rolf Findeisen","orcid":"https://orcid.org/0000-0002-9112-5946"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke-Universit\u00e4t Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"R. Findeisen","raw_affiliation_strings":["Institute for Automation Engineering, Otto von Guericke Universit\u00e4t Magdeburg, Magdeburg, Germany","Institute for Automation Engineering, Otto-von-Guericke Universit\u00e4t Magdeburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Automation Engineering, Otto von Guericke Universit\u00e4t Magdeburg, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]},{"raw_affiliation_string":"Institute for Automation Engineering, Otto-von-Guericke Universit\u00e4t Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I95793202"],"apc_list":null,"apc_paid":null,"fwci":10.6921,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.9805663,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"6786","last_page":"6792"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9988999962806702,"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/T11236","display_name":"Control Systems and Identification","score":0.9988999962806702,"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":0.9907000064849854,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9871000051498413,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.7251185774803162},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6856685280799866},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.629420280456543},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.6265373229980469},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5876359939575195},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5470255017280579},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5373955965042114},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4807312488555908},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4349440634250641},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4206567704677582},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4160548150539398},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4143866300582886},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33218705654144287},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15511804819107056}],"concepts":[{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.7251185774803162},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6856685280799866},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.629420280456543},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.6265373229980469},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5876359939575195},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5470255017280579},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5373955965042114},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4807312488555908},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4349440634250641},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4206567704677582},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4160548150539398},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4143866300582886},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33218705654144287},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15511804819107056},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2009.5400403","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400403","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:edoc.mpg.de:441352","is_oa":false,"landing_page_url":"http://edoc.mpg.de/441352","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 48th IEEE Conference on Decision and Control, IEEE, 6786-6792 (2009)","raw_type":"Conference-Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W178056938","https://openalex.org/W745673371","https://openalex.org/W1480692184","https://openalex.org/W1576919957","https://openalex.org/W1632601927","https://openalex.org/W1699920107","https://openalex.org/W1965324089","https://openalex.org/W1965688143","https://openalex.org/W1967073510","https://openalex.org/W1967184028","https://openalex.org/W1967344706","https://openalex.org/W1977845243","https://openalex.org/W1985093013","https://openalex.org/W1997774242","https://openalex.org/W2004457174","https://openalex.org/W2013641588","https://openalex.org/W2047890830","https://openalex.org/W2052446317","https://openalex.org/W2099272284","https://openalex.org/W2117921285","https://openalex.org/W2122561371","https://openalex.org/W2266946488","https://openalex.org/W2319101143","https://openalex.org/W2913465992","https://openalex.org/W4234903477","https://openalex.org/W4238726034","https://openalex.org/W4239670818","https://openalex.org/W4250589301","https://openalex.org/W4253284464","https://openalex.org/W6622091968","https://openalex.org/W6644725657","https://openalex.org/W6653615731","https://openalex.org/W6674816152","https://openalex.org/W6678359954"],"related_works":["https://openalex.org/W3166204570","https://openalex.org/W3121246613","https://openalex.org/W2132137594","https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W2171197263","https://openalex.org/W2374577476","https://openalex.org/W2296389180","https://openalex.org/W2138056406","https://openalex.org/W2008630349"],"abstract_inverted_index":{"This":[0],"work":[1],"introduces":[2],"a":[3,17,61,82],"unified":[4],"framework":[5],"for":[6,12,86,111],"model":[7,18,72],"invalidation":[8,55],"and":[9,56],"parameter":[10],"estimation":[11,58,95],"nonlinear":[13,22],"systems.":[14,130],"We":[15],"consider":[16],"given":[19],"by":[20],"implicit":[21],"difference":[23],"equations":[24],"that":[25],"are":[26],"polynomial":[27,67],"in":[28],"the":[29,51,54,66,70,74,120],"variables.":[30],"Experimental":[31],"data":[32],"is":[33,48,79,97,123],"assumed":[34],"to":[35,106],"be":[36,90],"available":[37],"as":[38,100],"possibly":[39],"sparse,":[40],"uncertain,":[41],"but":[42],"(set-)bounded":[43],"measurements.":[44],"The":[45,93,117],"derived":[46],"approach":[47,122],"based":[49],"on":[50],"reformulation":[52],"of":[53,69,113,119],"parameter/state":[57,94,115],"tasks":[59],"into":[60,81],"set-based":[62],"feasibility":[63,77,112],"problem.":[64,103],"Exploiting":[65],"structure":[68],"considered":[71],"class,":[73],"resulting":[75],"non-convex":[76],"problem":[78],"relaxed":[80],"convex":[83],"semi-definite":[84],"one,":[85],"which":[87],"infeasibility":[88],"can":[89],"efficiently":[91],"checked.":[92],"task":[96],"then":[98],"reformulated":[99],"an":[101],"outer-bounding":[102],"In":[104],"comparison":[105],"other":[107],"methods,":[108],"we":[109],"check":[110],"whole":[114],"regions.":[116],"practicability":[118],"proposed":[121],"demonstrated":[124],"with":[125],"two":[126],"simple":[127],"biological":[128],"example":[129]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}