{"id":"https://openalex.org/W4376456927","doi":"https://doi.org/10.1109/tac.2023.3275014","title":"A Behavioral Approach to Data-Driven Control With Noisy Input\u2013Output Data","display_name":"A Behavioral Approach to Data-Driven Control With Noisy Input\u2013Output Data","publication_year":2023,"publication_date":"2023-05-11","ids":{"openalex":"https://openalex.org/W4376456927","doi":"https://doi.org/10.1109/tac.2023.3275014"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3275014","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3275014","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.rug.nl/en/publications/cd6f6a31-166e-4028-96c5-1bd91fae389a","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087952337","display_name":"Henk J. van Waarde","orcid":"https://orcid.org/0000-0002-2561-2682"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Henk J. van Waarde","raw_affiliation_strings":["Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, Groningen, AG, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, Groningen, AG, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075605431","display_name":"Jaap Eising","orcid":"https://orcid.org/0000-0003-2155-8196"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jaap Eising","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000993019","display_name":"M. Kanat Camlibel","orcid":"https://orcid.org/0000-0002-2407-8166"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"M. Kanat Camlibel","raw_affiliation_strings":["Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, Groningen, AG, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, Groningen, AG, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045235248","display_name":"Harry L. Trentelman","orcid":"https://orcid.org/0000-0001-9463-8651"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Harry L. Trentelman","raw_affiliation_strings":["Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, Groningen, AG, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, Groningen, AG, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5087952337"],"corresponding_institution_ids":["https://openalex.org/I169381384"],"apc_list":null,"apc_paid":null,"fwci":6.191,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.97101338,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"69","issue":"2","first_page":"813","last_page":"827"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":1.0,"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":1.0,"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":0.9991000294685364,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9980000257492065,"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/control-theory","display_name":"Control theory (sociology)","score":0.7156132459640503},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6231305599212646},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5864705443382263},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5500093102455139},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5365369915962219},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.5331005454063416},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5014071464538574},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4951235353946686},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.44929611682891846},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.42482417821884155},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4169018864631653},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4157346189022064},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.28763142228126526},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1483982503414154},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08638373017311096},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.06933867931365967}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7156132459640503},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6231305599212646},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5864705443382263},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5500093102455139},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5365369915962219},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.5331005454063416},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5014071464538574},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4951235353946686},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.44929611682891846},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.42482417821884155},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4169018864631653},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4157346189022064},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.28763142228126526},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1483982503414154},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08638373017311096},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.06933867931365967},{"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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2023.3275014","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3275014","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:pure.rug.nl:openaire/cd6f6a31-166e-4028-96c5-1bd91fae389a","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/cd6f6a31-166e-4028-96c5-1bd91fae389a","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"van Waarde, H J, Eising, J, Camlibel, M K & Trentelman, H L 2024, 'A Behavioral Approach to Data-Driven Control With Noisy Input-Output Data', IEEE Transactions on Automatic Control, vol. 69, no. 2, pp. 813-827. https://doi.org/10.1109/TAC.2023.3275014","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/cd6f6a31-166e-4028-96c5-1bd91fae389a","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/cd6f6a31-166e-4028-96c5-1bd91fae389a","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"van Waarde, H J, Eising, J, Camlibel, M K & Trentelman, H L 2024, 'A Behavioral Approach to Data-Driven Control With Noisy Input-Output Data', IEEE Transactions on Automatic Control, vol. 69, no. 2, pp. 813-827. https://doi.org/10.1109/TAC.2023.3275014","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:openaire/cd6f6a31-166e-4028-96c5-1bd91fae389a","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/cd6f6a31-166e-4028-96c5-1bd91fae389a","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"van Waarde, H J, Eising, J, Camlibel, M K & Trentelman, H L 2024, 'A Behavioral Approach to Data-Driven Control With Noisy Input-Output Data', IEEE Transactions on Automatic Control, vol. 69, no. 2, pp. 813-827. https://doi.org/10.1109/TAC.2023.3275014","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1983313164","https://openalex.org/W2146560209","https://openalex.org/W2155657698","https://openalex.org/W2171837338","https://openalex.org/W2177207193","https://openalex.org/W2395955964","https://openalex.org/W2567255676","https://openalex.org/W2752679121","https://openalex.org/W2914517522","https://openalex.org/W2967875632","https://openalex.org/W2979207987","https://openalex.org/W2995764727","https://openalex.org/W2999535065","https://openalex.org/W3027624373","https://openalex.org/W3084915321","https://openalex.org/W3114430747","https://openalex.org/W3143477657","https://openalex.org/W3184522737","https://openalex.org/W3186992617","https://openalex.org/W3197456063","https://openalex.org/W3202388914","https://openalex.org/W3215929195","https://openalex.org/W3216349435","https://openalex.org/W4210244126","https://openalex.org/W4210266034","https://openalex.org/W4210761333","https://openalex.org/W4212995568","https://openalex.org/W4220857777","https://openalex.org/W4225565675","https://openalex.org/W4225718698","https://openalex.org/W4226515446","https://openalex.org/W4242398744","https://openalex.org/W4315488907","https://openalex.org/W4384928715","https://openalex.org/W6787128295"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1097487277","https://openalex.org/W2768610039","https://openalex.org/W4308265086","https://openalex.org/W2949964783","https://openalex.org/W4285390085","https://openalex.org/W2801357573","https://openalex.org/W2974000959","https://openalex.org/W2106889256","https://openalex.org/W1716629940"],"abstract_inverted_index":{"This":[0],"article":[1,159],"deals":[2],"with":[3],"data-driven":[4],"stability":[5,101,134],"analysis":[6],"and":[7,80,135,145,148,168],"feedback":[8,56],"stabilization":[9,137],"of":[10,99,102,110,121,129,141,172],"linear":[11],"input\u2013output":[12,22,142],"systems":[13,79,103,144],"in":[14,88,104,138],"autoregressive":[15],"(AR)":[16],"form.":[17],"We":[18,125],"assume":[19],"that":[20],"noisy":[21],"data":[23,89,131],"on":[24,96,162,164],"a":[25,53,83,97,115,169],"finite":[26],"time-interval":[27],"have":[28],"been":[29],"obtained":[30],"from":[31,85],"some":[32],"unknown":[33,45],"AR":[34,105,123,143],"system.":[35],"Data-based":[36],"tests":[37],"are":[38,63],"then":[39],"developed":[40],"to":[41,50,70,78,154],"analyze":[42],"whether":[43,52],"the":[44,66,75,108,127,139],"system":[46],"is":[47],"stable,":[48],"or":[49],"verify":[51],"stabilizing":[54,61],"dynamic":[55],"controller":[57],"exists.":[58],"If":[59],"so,":[60],"controllers":[62],"computed":[64],"using":[65,107],"data.":[67],"In":[68,156],"order":[69],"do":[71],"this,":[72],"we":[73],"employ":[74],"behavioral":[76],"approach":[77],"control,":[81],"meaning":[82],"departure":[84],"existing":[86],"methods":[87],"driven":[90],"control.":[91],"Our":[92],"results":[93,163],"heavily":[94],"rely":[95],"characterization":[98],"asymptotic":[100],"form":[106,113],"notion":[109],"quadratic":[111,133,136,165],"difference":[112],"as":[114],"natural":[116],"framework":[117],"for":[118,132,151],"Lyapunov":[119],"functions":[120],"autonomous":[122],"systems.":[124],"introduce":[126],"concepts":[128],"informative":[130],"context":[140],"establish":[146],"necessary":[147],"sufficient":[149],"conditions":[150],"these":[152],"properties":[153],"hold.":[155],"addition,":[157],"this":[158],"will":[160],"build":[161],"matrix":[166,170],"inequalities":[167],"version":[171],"Yakubovich's":[173],"<inline-formula":[174],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[175],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[176],"notation=\"LaTeX\">$S$</tex-math></inline-formula>":[177],"-lemma.":[178]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
