{"id":"https://openalex.org/W2109924410","doi":"https://doi.org/10.1109/cdc.2005.1583140","title":"Recursive Identification of Switched ARX Models with Unknown Number of Models and Unknown Orders","display_name":"Recursive Identification of Switched ARX Models with Unknown Number of Models and Unknown Orders","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2109924410","doi":"https://doi.org/10.1109/cdc.2005.1583140","mag":"2109924410"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1583140","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583140","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","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/A5027197038","display_name":"Yasmin L. Hashambhoy","orcid":null},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Y. Hashambhoy","raw_affiliation_strings":["Department of Biomedical Engineering, Johns Hopkins University, Baltimore, MD, USA","Center for Imaging Science, Department of Biomedical Engineering, Johns Hopkins University, 3400 N. Charles St., Baltimore, MD, 21218, USA yasmin@cis.jhu.edu"],"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, Johns Hopkins University, Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Center for Imaging Science, Department of Biomedical Engineering, Johns Hopkins University, 3400 N. Charles St., Baltimore, MD, 21218, USA yasmin@cis.jhu.edu","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011256828","display_name":"Ren\u00e8 Vidal","orcid":"https://orcid.org/0000-0003-1838-0761"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Vidal","raw_affiliation_strings":["Department of Biomedical Engineering, Johns Hopkins University, Baltimore, MD, USA","Johns Hopkins University ("],"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, Johns Hopkins University, Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Johns Hopkins University (","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027197038"],"corresponding_institution_ids":["https://openalex.org/I145311948"],"apc_list":null,"apc_paid":null,"fwci":11.0098,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.98119173,"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":"6115","last_page":"6121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9988999962806702,"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/T11081","display_name":"Advanced Control Systems Design","score":0.989799976348877,"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/sequence","display_name":"Sequence (biology)","score":0.6394025683403015},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5149343609809875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5124543309211731},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5035271048545837},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4875163733959198},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.47877633571624756},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46019530296325684},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.4487904906272888},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4444465637207031},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44389939308166504},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4418635070323944},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.42527931928634644},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3372003436088562},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.2811189293861389},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10327830910682678}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6394025683403015},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5149343609809875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5124543309211731},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5035271048545837},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4875163733959198},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.47877633571624756},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46019530296325684},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.4487904906272888},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4444465637207031},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44389939308166504},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4418635070323944},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.42527931928634644},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3372003436088562},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.2811189293861389},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10327830910682678},{"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","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:10.1109/cdc.2005.1583140","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583140","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.71.9585","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.71.9585","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cis.jhu.edu/~rvidal/publications/cdc05-final.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1498202005","https://openalex.org/W1561822031","https://openalex.org/W1784403105","https://openalex.org/W1977334715","https://openalex.org/W1993914061","https://openalex.org/W2007093507","https://openalex.org/W2023916691","https://openalex.org/W2098734111","https://openalex.org/W2118348786","https://openalex.org/W4239147550","https://openalex.org/W4244107505","https://openalex.org/W4244593923","https://openalex.org/W6638431214","https://openalex.org/W6677569362"],"related_works":["https://openalex.org/W1576040274","https://openalex.org/W2094241856","https://openalex.org/W407768105","https://openalex.org/W2382161936","https://openalex.org/W2073129852","https://openalex.org/W2895985422","https://openalex.org/W144713044","https://openalex.org/W2111055833","https://openalex.org/W2380889403","https://openalex.org/W2896996283"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,7,19,22,26,30,38,46,60,68,87,92,97,106,109,135,140,168,171,182,185,200,212,221],"problem":[3],"of":[4,9,24,67,89,108,167,170,181,184,208,223],"recursively":[5],"identifying":[6,139],"parameters":[8,64,111,143,169,188,204],"a":[10,42,51,76,117,129,162],"switched":[11],"ARX":[12,53,172,202],"(SARX)":[13],"model":[14,27,54,63,93,142,173,187,203],"from":[15,145],"input/output":[16,47,213,225],"data":[17,48],"under":[18,205],"assumption":[20],"that":[21,40,123,131,152,175],"number":[23,88],"models,":[25],"orders":[28,94],"and":[29,65,91],"switching":[31,69],"sequence":[32],"are":[33,57,95,194],"unknown.":[34],"Our":[35],"approach":[36],"exploits":[37],"fact":[39],"applying":[41],"polynomial":[43],"embedding":[44],"to":[45,50,80,116,128,189,196,199],"leads":[49],"lifted":[52],"whose":[55,159],"dynamics":[56],"linear":[58],"on":[59,134,211],"so-called":[61],"hybrid":[62,83,110,141,186],"independent":[66],"sequence.":[70],"In":[71],"principle,":[72],"one":[73,153],"can":[74,154],"use":[75],"standard":[77],"recursive":[78],"algorithm":[79,217],"identify":[81],"such":[82,192],"parameters.":[84],"However,":[85],"when":[86],"models":[90],"unknown":[96],"embedded":[98],"regressors":[99],"may":[100,112],"not":[101,113],"be":[102,190],"persistently":[103],"exciting,":[104],"hence":[105],"estimates":[107,125,193],"converge":[114,127,197],"exponentially":[115,198],"constant":[118],"vector.":[119],"Nevertheless,":[120],"we":[121,150],"show":[122,151,230],"these":[124],"still":[126],"vector":[130],"depends":[132],"continuously":[133],"initial":[136,148],"condition.":[137],"By":[138],"starting":[144],"two":[146,156],"different":[147],"conditions,":[149],"build":[155],"homogeneous":[157],"polynomials":[158],"derivatives":[160],"at":[161],"regressor":[163],"give":[164],"an":[165],"estimate":[166],"generating":[174],"regressor.":[176],"After":[177],"properly":[178],"enforcing":[179],"some":[180],"entries":[183],"zero,":[191],"shown":[195],"true":[201],"suitable":[206],"persistence":[207],"excitation":[209],"conditions":[210],"data.":[214,235],"Although":[215],"our":[216,227],"is":[218],"designed":[219],"for":[220],"case":[222],"perfect":[224],"data,":[226],"experiments":[228],"also":[229],"its":[231],"performance":[232],"with":[233],"noisy":[234]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}