{"id":"https://openalex.org/W4399039249","doi":"https://doi.org/10.1109/lcsys.2024.3406057","title":"An Input-Output Continuous-Time Version of Willems\u2019 Lemma","display_name":"An Input-Output Continuous-Time Version of Willems\u2019 Lemma","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4399039249","doi":"https://doi.org/10.1109/lcsys.2024.3406057"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2024.3406057","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2024.3406057","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","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/A5059736491","display_name":"Victor G. Lopez","orcid":"https://orcid.org/0000-0003-3989-4091"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Victor G. Lopez","raw_affiliation_strings":["Institute of Automatic Control, Leibniz University Hannover, Hannover, Germany","Leibniz University Hannover, Institute of Automatic Control, Hannover, Germany"],"raw_orcid":"https://orcid.org/0000-0003-3989-4091","affiliations":[{"raw_affiliation_string":"Institute of Automatic Control, Leibniz University Hannover, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]},{"raw_affiliation_string":"Leibniz University Hannover, Institute of Automatic Control, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057092836","display_name":"Matthias A. M\u00fcller","orcid":"https://orcid.org/0000-0002-4911-9526"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Matthias A. M\u00fcller","raw_affiliation_strings":["Institute of Automatic Control, Leibniz University Hannover, Hannover, Germany","Leibniz University Hannover, Institute of Automatic Control, Hannover, Germany"],"raw_orcid":"https://orcid.org/0000-0002-4911-9526","affiliations":[{"raw_affiliation_string":"Institute of Automatic Control, Leibniz University Hannover, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]},{"raw_affiliation_string":"Leibniz University Hannover, Institute of Automatic Control, Hannover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089562946","display_name":"Paolo Rapisarda","orcid":"https://orcid.org/0000-0001-9682-8977"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Paolo Rapisarda","raw_affiliation_strings":["School of Electronics and Computer Science, University of Southampton, Southampton, U.K"],"raw_orcid":"https://orcid.org/0000-0001-9682-8977","affiliations":[{"raw_affiliation_string":"School of Electronics and Computer Science, University of Southampton, Southampton, U.K","institution_ids":["https://openalex.org/I43439940"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7671,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.83490722,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"8","issue":null,"first_page":"916","last_page":"921"},"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":0.9991999864578247,"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":0.9973999857902527,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.8685237169265747},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.7658215761184692},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6296300888061523},{"id":"https://openalex.org/keywords/input/output","display_name":"Input/output","score":0.5097681879997253},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4997589588165283},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.445752888917923},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3315495252609253},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16383257508277893},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06247648596763611}],"concepts":[{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.8685237169265747},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.7658215761184692},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6296300888061523},{"id":"https://openalex.org/C196697905","wikidata":"https://www.wikidata.org/wiki/Q2042052","display_name":"Input/output","level":2,"score":0.5097681879997253},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4997589588165283},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.445752888917923},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3315495252609253},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16383257508277893},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06247648596763611},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lcsys.2024.3406057","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2024.3406057","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"},{"id":"pmh:oai:eprints.soton.ac.uk:490507","is_oa":false,"landing_page_url":"https://eprints.soton.ac.uk/490507/1/24-0428_03_MS.pdf","pdf_url":"https://eprints.soton.ac.uk/490507/1/24-0428_03_MS.pdf","source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"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":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G278998681","display_name":null,"funder_award_id":"948679","funder_id":"https://openalex.org/F4320338394","funder_display_name":"European Metrology Programme for Innovation and Research"}],"funders":[{"id":"https://openalex.org/F4320338394","display_name":"European Metrology Programme for Innovation and Research","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1983313164","https://openalex.org/W1994147271","https://openalex.org/W2032383014","https://openalex.org/W2063591415","https://openalex.org/W2979207987","https://openalex.org/W3016165507","https://openalex.org/W3119979174","https://openalex.org/W3151110243","https://openalex.org/W3213835390","https://openalex.org/W4212995568","https://openalex.org/W4295036160","https://openalex.org/W4312942153","https://openalex.org/W4315488907","https://openalex.org/W4322576871","https://openalex.org/W4367056604","https://openalex.org/W4385616263","https://openalex.org/W4387245217","https://openalex.org/W4389217587","https://openalex.org/W4392427121","https://openalex.org/W6858873818","https://openalex.org/W6862171538"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1097487277","https://openalex.org/W2949964783","https://openalex.org/W2768610039","https://openalex.org/W3121250382","https://openalex.org/W4285390085","https://openalex.org/W31688704","https://openalex.org/W2801357573","https://openalex.org/W2974000959","https://openalex.org/W2106889256"],"abstract_inverted_index":{"We":[0,62],"illustrate":[1],"a":[2],"novel":[3],"version":[4],"of":[5,11,49,72,77,98],"Willems\u2019":[6],"lemma":[7],"for":[8,69],"data-based":[9,70,113],"representation":[10,46],"continuous-time":[12,114],"systems.":[13],"The":[14],"main":[15],"novelties":[16],"compared":[17],"to":[18,55,93,105,110],"previous":[19],"works":[20],"are":[21],"two.":[22],"First,":[23],"the":[24,34,95,99,107,112],"proposed":[25],"framework":[26,109],"relies":[27],"only":[28],"on":[29],"measured":[30,87],"input-output":[31,88],"trajectories":[32,74],"from":[33],"system":[35,45,51,73],"and":[36,59,66,90],"no":[37],"internal":[38],"(state)":[39],"information":[40],"is":[41],"required.":[42],"Second,":[43],"our":[44],"makes":[47],"use":[48,106],"exact":[50],"trajectories,":[52],"without":[53],"resorting":[54],"orthogonal":[56],"bases":[57],"representations":[58],"consequent":[60],"approximations.":[61],"first":[63],"establish":[64],"sufficient":[65],"necessary":[67],"conditions":[68,85],"generation":[71],"in":[75],"terms":[76],"suitable":[78],"latent":[79],"variables.":[80],"Subsequently,":[81],"we":[82,102],"reformulate":[83],"these":[84],"using":[86],"data":[89],"show":[91,103],"how":[92,104],"span":[94],"full":[96],"behavior":[97],"system.":[100],"Furthermore,":[101],"developed":[108],"solve":[111],"simulation":[115],"problem.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}