{"id":"https://openalex.org/W4399451638","doi":"https://doi.org/10.1109/tac.2024.3409639","title":"A Sampling Theorem for Exact Identification of Continuous-Time Nonlinear Dynamical Systems","display_name":"A Sampling Theorem for Exact Identification of Continuous-Time Nonlinear Dynamical Systems","publication_year":2024,"publication_date":"2024-06-05","ids":{"openalex":"https://openalex.org/W4399451638","doi":"https://doi.org/10.1109/tac.2024.3409639"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3409639","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3409639","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://researchportal.unamur.be/en/publications/e7052a1b-b282-40d7-aaa4-d40416adcf88","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078636434","display_name":"Zhexuan Zeng","orcid":null},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhexuan Zeng","raw_affiliation_strings":["School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0009-0004-9194-9912","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048749917","display_name":"Zuogong Yue","orcid":"https://orcid.org/0000-0001-8457-2900"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zuogong Yue","raw_affiliation_strings":["School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-8457-2900","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019128476","display_name":"Alexandre Mauroy","orcid":"https://orcid.org/0000-0002-1594-4317"},"institutions":[{"id":"https://openalex.org/I149768937","display_name":"University of Namur","ror":"https://ror.org/03d1maw17","country_code":"BE","type":"education","lineage":["https://openalex.org/I149768937"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Alexandre Mauroy","raw_affiliation_strings":["Department of Mathematics, Namur Institute for Complex Systems (naXys), University of Namur, Namur, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-1594-4317","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Namur Institute for Complex Systems (naXys), University of Namur, Namur, Belgium","institution_ids":["https://openalex.org/I149768937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035877557","display_name":"Jorge Gon\u00e7alves","orcid":"https://orcid.org/0000-0002-5228-6165"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":false,"raw_author_name":"Jorge Gon\u00e7alves","raw_affiliation_strings":["Luxembourg Centre for Systems Biomedicine, University of Luxembourg, Belvaux, Luxembourg"],"raw_orcid":"https://orcid.org/0000-0002-5228-6165","affiliations":[{"raw_affiliation_string":"Luxembourg Centre for Systems Biomedicine, University of Luxembourg, Belvaux, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016488397","display_name":"Ye Yuan","orcid":"https://orcid.org/0000-0001-7858-0437"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ye Yuan","raw_affiliation_strings":["School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-7858-0437","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9008,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.85391994,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"69","issue":"12","first_page":"8402","last_page":"8417"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9807000160217285,"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":0.9807000160217285,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9132999777793884,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9103000164031982,"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/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5677832961082458},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.52284175157547},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5039891600608826},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5020036697387695},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4855658710002899},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.48342740535736084},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.4648512899875641},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4054924249649048},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.38849568367004395},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12857353687286377},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11093223094940186},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10885989665985107}],"concepts":[{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5677832961082458},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.52284175157547},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5039891600608826},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5020036697387695},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4855658710002899},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.48342740535736084},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.4648512899875641},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4054924249649048},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.38849568367004395},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12857353687286377},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11093223094940186},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10885989665985107},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","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/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":3,"locations":[{"id":"doi:10.1109/tac.2024.3409639","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3409639","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.unamur.be:openaire_cris_publications/e7052a1b-b282-40d7-aaa4-d40416adcf88","is_oa":true,"landing_page_url":"https://researchportal.unamur.be/en/publications/e7052a1b-b282-40d7-aaa4-d40416adcf88","pdf_url":null,"source":{"id":"https://openalex.org/S4406922457","display_name":"Repository of the University of Namur","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Zeng, Z, Yue, Z, Mauroy, A, Goncalves, J & Yuan, Y 2024, 'A sampling theorem for exact identification of continuous-time nonlinear dynamical systems', IEEE Transactions on Automatic Control, vol. 69, no. 12, pp. 8402-8417. https://doi.org/10.1109/TAC.2024.3409639","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.unamur.be:openaire/e7052a1b-b282-40d7-aaa4-d40416adcf88","is_oa":true,"landing_page_url":"https://www.scopus.com/pages/publications/85195387955","pdf_url":null,"source":{"id":"https://openalex.org/S4406922457","display_name":"Repository of the University of Namur","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Zeng, Z, Yue, Z, Mauroy, A, Goncalves, J & Yuan, Y 2024, 'A sampling theorem for exact identification of continuous-time nonlinear dynamical systems', IEEE Transactions on Automatic Control, vol. 69, no. 12, pp. 8402-8417. https://doi.org/10.1109/TAC.2024.3409639","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.unamur.be:openaire_cris_publications/e7052a1b-b282-40d7-aaa4-d40416adcf88","is_oa":true,"landing_page_url":"https://researchportal.unamur.be/en/publications/e7052a1b-b282-40d7-aaa4-d40416adcf88","pdf_url":null,"source":{"id":"https://openalex.org/S4406922457","display_name":"Repository of the University of Namur","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Zeng, Z, Yue, Z, Mauroy, A, Goncalves, J & Yuan, Y 2024, 'A sampling theorem for exact identification of continuous-time nonlinear dynamical systems', IEEE Transactions on Automatic Control, vol. 69, no. 12, pp. 8402-8417. https://doi.org/10.1109/TAC.2024.3409639","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6354507983","display_name":null,"funder_award_id":"92167201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W331957638","https://openalex.org/W1494717864","https://openalex.org/W1591018827","https://openalex.org/W1981060372","https://openalex.org/W1997054581","https://openalex.org/W2014356541","https://openalex.org/W2016278744","https://openalex.org/W2032383014","https://openalex.org/W2067035505","https://openalex.org/W2098382127","https://openalex.org/W2119898258","https://openalex.org/W2133626294","https://openalex.org/W2164954534","https://openalex.org/W2510030309","https://openalex.org/W2512515591","https://openalex.org/W2551318894","https://openalex.org/W2561027863","https://openalex.org/W2594932112","https://openalex.org/W2741090133","https://openalex.org/W2896069146","https://openalex.org/W2963401716","https://openalex.org/W2963611087","https://openalex.org/W2991844785","https://openalex.org/W3109149206","https://openalex.org/W4239539940","https://openalex.org/W4240691156","https://openalex.org/W4244334050","https://openalex.org/W4252713891","https://openalex.org/W4255926691","https://openalex.org/W4315472145","https://openalex.org/W4323538545","https://openalex.org/W4401210573","https://openalex.org/W6752738519"],"related_works":["https://openalex.org/W2056626217","https://openalex.org/W1541871911","https://openalex.org/W1966008566","https://openalex.org/W2184005427","https://openalex.org/W3185784018","https://openalex.org/W2079574545","https://openalex.org/W3212383242","https://openalex.org/W3127651486","https://openalex.org/W2050258033","https://openalex.org/W2148316232"],"abstract_inverted_index":{"Low":[0],"sampling":[1,73,95,115],"frequency":[2,49,74,96],"challenges":[3],"the":[4,30,34,51,55,84,94,104,110,113,117,122],"exact":[5,35,52],"identification":[6,36,53],"of":[7,37,54,80,137],"continuous-time":[8],"(CT)":[9],"dynamical":[10,58],"systems":[11,39,144],"from":[12,29,40],"sampled":[13,41],"data,":[14],"even":[15],"when":[16],"their":[17],"models":[18],"are":[19],"identifiable.":[20],"A":[21],"necessary":[22,91],"and":[23,147],"sufficient":[24,69],"condition":[25,44,70,92],"is":[26],"proposed,":[27],"built":[28],"Koopman":[31,62],"operator,":[32],"for":[33,50,71,93],"CT":[38,56,118],"data.":[42],"This":[43],"provides":[45],"a":[46,68,72,77,90,135],"Nyquist\u2013Shannon-like":[47],"critical":[48],"nonlinear":[57,143],"system,":[59],"which":[60,101],"has":[61,131],"invariant":[63],"spaces.":[64],"First,":[65],"it":[66,88],"establishes":[67,89],"that":[75],"permits":[76],"discretized":[78],"sequence":[79],"samples":[81],"to":[82,97],"discover":[83],"underlying":[85,105],"system.":[86],"Second,":[87],"avoid":[98],"system":[99,106,123],"aliasing,":[100],"would":[102],"render":[103],"distinguishable.":[107],"Finally,":[108],"unlike":[109],"requirement":[111],"in":[112],"Nyquist\u2013Shannon":[114],"theorem,":[116],"signal":[119],"associated":[120],"with":[121,145],"need":[124],"not":[125],"be":[126],"band-limited.":[127],"The":[128],"theoretical":[129],"criterion":[130],"been":[132],"demonstrated":[133],"on":[134],"number":[136],"simulated":[138],"examples,":[139],"including":[140],"linear":[141],"systems,":[142],"equilibria,":[146],"limit":[148],"cycles.":[149]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-26T23:08:49.675405","created_date":"2025-10-10T00:00:00"}