{"id":"https://openalex.org/W2279708372","doi":"https://doi.org/10.1080/00207721.2015.1069906","title":"Identification of continuous-time models for nonlinear dynamic systems from discrete data","display_name":"Identification of continuous-time models for nonlinear dynamic systems from discrete data","publication_year":2015,"publication_date":"2015-07-27","ids":{"openalex":"https://openalex.org/W2279708372","doi":"https://doi.org/10.1080/00207721.2015.1069906","mag":"2279708372"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2015.1069906","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2015.1069906","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5034885233","display_name":"Yuzhu Guo","orcid":"https://orcid.org/0000-0002-8588-5172"},"institutions":[{"id":"https://openalex.org/I4210147861","display_name":"Insigneo","ror":"https://ror.org/04ve58z79","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210147861"]},{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yuzhu Guo","raw_affiliation_strings":["Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK; INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK","INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK","Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK; INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK","institution_ids":["https://openalex.org/I4210147861"]},{"raw_affiliation_string":"INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK","institution_ids":["https://openalex.org/I4210147861","https://openalex.org/I91136226"]},{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108670524","display_name":"Ling Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I4210147861","display_name":"Insigneo","ror":"https://ror.org/04ve58z79","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210147861"]},{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ling Zhong Guo","raw_affiliation_strings":["Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK; INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK","INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK","Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK; INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK","institution_ids":["https://openalex.org/I4210147861"]},{"raw_affiliation_string":"INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK","institution_ids":["https://openalex.org/I4210147861","https://openalex.org/I91136226"]},{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105466125","display_name":"S.A. Billings","orcid":null},"institutions":[{"id":"https://openalex.org/I4210147861","display_name":"Insigneo","ror":"https://ror.org/04ve58z79","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210147861"]},{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Stephen A. Billings","raw_affiliation_strings":["Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK; INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK","INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK","Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK; INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK","institution_ids":["https://openalex.org/I4210147861"]},{"raw_affiliation_string":"INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK","institution_ids":["https://openalex.org/I4210147861","https://openalex.org/I91136226"]},{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026841543","display_name":"Hua\u2010Liang Wei","orcid":"https://orcid.org/0000-0002-4704-7346"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]},{"id":"https://openalex.org/I4210147861","display_name":"Insigneo","ror":"https://ror.org/04ve58z79","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210147861"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Hua-Liang Wei","raw_affiliation_strings":["Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK; INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK","Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK","INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK; INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK","institution_ids":["https://openalex.org/I4210147861"]},{"raw_affiliation_string":"Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK","institution_ids":["https://openalex.org/I91136226"]},{"raw_affiliation_string":"INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, UK","institution_ids":["https://openalex.org/I4210147861","https://openalex.org/I91136226"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5105466125"],"corresponding_institution_ids":["https://openalex.org/I4210147861","https://openalex.org/I91136226"],"apc_list":null,"apc_paid":null,"fwci":2.3847,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.89960243,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"47","issue":"12","first_page":"3044","last_page":"3054"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9984999895095825,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/nonlinear-system","display_name":"Nonlinear system","score":0.6979238986968994},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6044023036956787},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.5030857920646667},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.49847936630249023},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4970994293689728},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48134645819664},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4686635732650757},{"id":"https://openalex.org/keywords/nonlinear-system-identification","display_name":"Nonlinear system identification","score":0.4624969959259033},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43968909978866577},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42608511447906494},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.41839519143104553},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.41786086559295654},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.41730859875679016},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.37788522243499756},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.23313161730766296},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20969194173812866},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.0855366587638855}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6979238986968994},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6044023036956787},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.5030857920646667},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.49847936630249023},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4970994293689728},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48134645819664},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4686635732650757},{"id":"https://openalex.org/C22157029","wikidata":"https://www.wikidata.org/wiki/Q17080460","display_name":"Nonlinear system identification","level":4,"score":0.4624969959259033},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43968909978866577},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42608511447906494},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.41839519143104553},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.41786086559295654},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.41730859875679016},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37788522243499756},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.23313161730766296},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20969194173812866},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0855366587638855},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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},{"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/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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/00207721.2015.1069906","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2015.1069906","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:eprints.whiterose.ac.uk:103208","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400854","display_name":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800616092","host_organization_name":"White Rose University Consortium","host_organization_lineage":["https://openalex.org/I2800616092"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:47:y:2016:i:12:p:3044-3054","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2015.1069906","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3868498110","display_name":null,"funder_award_id":"EP/I011056/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4991818217","display_name":null,"funder_award_id":"EP/K03877X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5717180343","display_name":null,"funder_award_id":"EP/G042209/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7670199824","display_name":null,"funder_award_id":"EP/D032741/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7721355391","display_name":null,"funder_award_id":"EP/H00453X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W565957950","https://openalex.org/W570566252","https://openalex.org/W582759817","https://openalex.org/W1576818901","https://openalex.org/W1965324089","https://openalex.org/W1965638606","https://openalex.org/W1979140114","https://openalex.org/W1979769287","https://openalex.org/W1991162950","https://openalex.org/W1992967649","https://openalex.org/W1995614965","https://openalex.org/W2007240904","https://openalex.org/W2013841880","https://openalex.org/W2032383014","https://openalex.org/W2059050978","https://openalex.org/W2092369818","https://openalex.org/W2121715409","https://openalex.org/W2125834060","https://openalex.org/W2129302977","https://openalex.org/W2494877425","https://openalex.org/W2913465992","https://openalex.org/W4232239282","https://openalex.org/W4254218124"],"related_works":["https://openalex.org/W2152282424","https://openalex.org/W2091914113","https://openalex.org/W564324191","https://openalex.org/W2021395081","https://openalex.org/W4386033416","https://openalex.org/W2004841036","https://openalex.org/W1490020332","https://openalex.org/W1595492935","https://openalex.org/W1987213476","https://openalex.org/W176335707"],"abstract_inverted_index":{"A":[0],"new":[1,29,125,141,152],"iOFR-MF":[2],"(iterative":[3],"orthogonal":[4],"forward":[5],"regression--modulating":[6],"function)":[7],"algorithm":[8,70],"is":[9,71,128,170],"proposed":[10],"to":[11,63,74],"identify":[12],"continuous-time":[13],"models":[14,112,121],"from":[15,102],"noisy":[16],"data":[17,66],"by":[18,163],"combining":[19],"the":[20,24,28,42,47,60,65,76,85,90,96,103,106,131,140,147,158],"MF":[21,61],"method":[22,62,127,135,142,153],"and":[23,49,88,113,136],"iOFR":[25,69],"algorithm.":[26],"In":[27],"method,":[30],"a":[31,114],"set":[32],"of":[33,105,116,167],"candidate":[34],"terms,":[35,81],"which":[36,82],"describe":[37],"different":[38],"dynamic":[39],"relationships":[40,77,94],"among":[41],"system":[43],"states":[44],"or":[45],"between":[46,78,95],"input":[48],"output,":[50],"are":[51,56,99,122,160],"first":[52],"constructed.":[53],"These":[54],"terms":[55],"then":[57],"modulated":[58,80,107],"using":[59],"generate":[64],"matrix.":[67],"The":[68,93,124,151,165],"next":[72],"applied":[73],"build":[75],"these":[79],"include":[83],"detecting":[84],"model":[86,104],"structure":[87],"estimating":[89],"associated":[91],"parameters.":[92],"original":[97],"variables":[98],"finally":[100],"recovered":[101],"terms.":[108],"Both":[109],"nonlinear":[110,119],"state-space":[111],"class":[115],"higher":[117],"order":[118],"input\u2013output":[120],"considered.":[123],"direct":[126],"compared":[129],"with":[130],"traditional":[132],"finite":[133,148],"difference":[134,149],"results":[137],"show":[138],"that":[139],"performs":[143],"much":[144],"better":[145],"than":[146],"method.":[150],"works":[154],"well":[155],"even":[156],"when":[157],"measurements":[159],"severely":[161],"corrupted":[162],"noise.":[164],"selection":[166],"appropriate":[168],"MFs":[169],"also":[171],"discussed.":[172]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}