{"id":"https://openalex.org/W3201051939","doi":"https://doi.org/10.1016/j.ymssp.2022.109426","title":"A latent restoring force approach to nonlinear system identification","display_name":"A latent restoring force approach to nonlinear system identification","publication_year":2022,"publication_date":"2022-06-24","ids":{"openalex":"https://openalex.org/W3201051939","doi":"https://doi.org/10.1016/j.ymssp.2022.109426","mag":"3201051939"},"language":"en","primary_location":{"id":"doi:10.1016/j.ymssp.2022.109426","doi":"https://doi.org/10.1016/j.ymssp.2022.109426","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ymssp.2022.109426","pdf_url":"https://ars.els-cdn.com/content/image/1-s2.0-S0888327022005489-ga1_lrg.jpg","source":{"id":"https://openalex.org/S128368299","display_name":"Mechanical Systems and Signal Processing","issn_l":"0888-3270","issn":["0888-3270","1096-1216"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-3","norway-1","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mechanical Systems and Signal Processing","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ars.els-cdn.com/content/image/1-s2.0-S0888327022005489-ga1_lrg.jpg","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031921600","display_name":"Timothy James Rogers","orcid":"https://orcid.org/0000-0002-3433-3247","observed_orcids":["https://orcid.org/0000-0002-3433-3247"]},"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"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"T.J. Rogers","raw_affiliation_strings":["Dynamics Research Group, Department of Mechanical Engineering, University of Sheffield, Mappin Street, Sheffield, S1 3JD, UK"],"raw_orcid":"https://orcid.org/0000-0002-3433-3247","affiliations":[{"raw_affiliation_string":"Dynamics Research Group, Department of Mechanical Engineering, University of Sheffield, Mappin Street, Sheffield, S1 3JD, UK","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069577992","display_name":"Tobias Friis","orcid":"https://orcid.org/0000-0003-2879-1978","observed_orcids":["https://orcid.org/0000-0003-2879-1978"]},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"T. Friis","raw_affiliation_strings":["Department of Civil Engineering, Technical University of Denmark, Brovej, 2800 Kgs., Lyngby, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil Engineering, Technical University of Denmark, Brovej, 2800 Kgs., Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031921600"],"corresponding_institution_ids":["https://openalex.org/I91136226"],"apc_list":{"value":4380,"currency":"USD","value_usd":4380},"apc_paid":{"value":4380,"currency":"USD","value_usd":4380},"fwci":2.1437,"has_fulltext":true,"cited_by_count":35,"citation_normalized_percentile":{"value":0.86583157,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"180","issue":null,"first_page":"109426","last_page":"109426"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9940999746322632,"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":0.9940999746322632,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.003700000001117587,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.0008999999845400453,"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-identification","display_name":"nonlinear system identification","score":0.996999979019165},{"id":"https://openalex.org/keywords/bayesian-filtering","display_name":"Bayesian filtering","score":0.9160000085830688},{"id":"https://openalex.org/keywords/gaussian-processes","display_name":"Gaussian processes","score":0.8960000276565552},{"id":"https://openalex.org/keywords/state-space-models","display_name":"state-space model","score":0.9829999804496765},{"id":"https://openalex.org/keywords/filtering-and-smoothing","display_name":"filtering and smoothing","score":0.7739999890327454},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"nonlinear dynamical systems","score":0.7390000224113464}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7612266540527344},{"id":"https://openalex.org/C175853643","wikidata":"https://www.wikidata.org/wiki/Q1185557","display_name":"Restoring force","level":2,"score":0.7092923521995544},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.5458936095237732},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.5335747599601746},{"id":"https://openalex.org/C22157029","wikidata":"https://www.wikidata.org/wiki/Q17080460","display_name":"Nonlinear system identification","level":4,"score":0.5291999578475952},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5107336044311523},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.48125144839286804},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.43965619802474976},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4369669258594513},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.43050503730773926},{"id":"https://openalex.org/C23224414","wikidata":"https://www.wikidata.org/wiki/Q176769","display_name":"Hidden Markov model","level":2,"score":0.42020082473754883},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.41698166728019714},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41697120666503906},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.41150087118148804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3335804045200348},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.311563104391098},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2986485958099365},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.1145697832107544},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11456814408302307},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.08370369672775269},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1016/j.ymssp.2022.109426","doi":"https://doi.org/10.1016/j.ymssp.2022.109426","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ymssp.2022.109426","pdf_url":"https://ars.els-cdn.com/content/image/1-s2.0-S0888327022005489-ga1_lrg.jpg","source":{"id":"https://openalex.org/S128368299","display_name":"Mechanical Systems and Signal Processing","issn_l":"0888-3270","issn":["0888-3270","1096-1216"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-3","norway-1","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mechanical Systems and Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:eprints.whiterose.ac.uk:230689","doi":null,"is_oa":false,"landing_page_url":"https://orcid.org/0000-0002-3433-3247>","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,"listed_in":[],"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":null,"raw_type":"Article"},{"id":"pmh:oai:arXiv.org:2109.10681","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.10681","pdf_url":"https://arxiv.org/pdf/2109.10681","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:pure.atira.dk:publications/421803da-0d2a-4010-a794-e686f44a1b78","doi":null,"is_oa":true,"landing_page_url":"https://orbit.dtu.dk/en/publications/421803da-0d2a-4010-a794-e686f44a1b78","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Rogers , T J &amp; Friis , T 2022 , ' A latent restoring force approach to nonlinear system identification ' , Mechanical Systems and Signal Processing , vol. 180 , 109426 . https://doi.org/10.1016/j.ymssp.2022.109426","raw_type":"article"},{"id":"doi:10.48550/arxiv.2109.10681","doi":"https://doi.org/10.48550/arxiv.2109.10681","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2109.10681","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1016/j.ymssp.2022.109426","doi":"https://doi.org/10.1016/j.ymssp.2022.109426","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ymssp.2022.109426","pdf_url":"https://ars.els-cdn.com/content/image/1-s2.0-S0888327022005489-ga1_lrg.jpg","source":{"id":"https://openalex.org/S128368299","display_name":"Mechanical Systems and Signal Processing","issn_l":"0888-3270","issn":["0888-3270","1096-1216"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-3","norway-1","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mechanical Systems and Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3476551216","display_name":"Autonomous Modelling Solutions for Operational Structural Dynamic Systems","funder_award_id":"EP/W002140/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320320342","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044"},{"id":"https://openalex.org/F4320321634","display_name":"Delhi Technological University","ror":"https://ror.org/01ztcvt22"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320337187","display_name":"Danish Hydrocarbon Research and Technology Centre, Technical University of Denmark","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3201051939.pdf","grobid_xml":"https://content.openalex.org/works/W3201051939.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W578412335","https://openalex.org/W1490533726","https://openalex.org/W1563957082","https://openalex.org/W1746819321","https://openalex.org/W1866206747","https://openalex.org/W1971357990","https://openalex.org/W1972537245","https://openalex.org/W1988878180","https://openalex.org/W2019130306","https://openalex.org/W2025909913","https://openalex.org/W2043286600","https://openalex.org/W2043805114","https://openalex.org/W2045656233","https://openalex.org/W2063251348","https://openalex.org/W2070007446","https://openalex.org/W2070517178","https://openalex.org/W2071838215","https://openalex.org/W2076609149","https://openalex.org/W2094227853","https://openalex.org/W2105934661","https://openalex.org/W2143672530","https://openalex.org/W2150657569","https://openalex.org/W2151554678","https://openalex.org/W2168464387","https://openalex.org/W2186128498","https://openalex.org/W2263056106","https://openalex.org/W2342464883","https://openalex.org/W2396665160","https://openalex.org/W2513205244","https://openalex.org/W2597289420","https://openalex.org/W2652401161","https://openalex.org/W2745110207","https://openalex.org/W2763914732","https://openalex.org/W2800947561","https://openalex.org/W2890760702","https://openalex.org/W2904816695","https://openalex.org/W2906919527","https://openalex.org/W2913465992","https://openalex.org/W2930284441","https://openalex.org/W2940934113","https://openalex.org/W2963711523","https://openalex.org/W2963755523","https://openalex.org/W2964341721","https://openalex.org/W2991881784","https://openalex.org/W2998130308","https://openalex.org/W3008748818","https://openalex.org/W3083218177","https://openalex.org/W3087736720","https://openalex.org/W3139820685","https://openalex.org/W4211049957","https://openalex.org/W4232464081","https://openalex.org/W4244364296","https://openalex.org/W4301959443","https://openalex.org/W4401912823","https://openalex.org/W6600450872"],"related_works":["https://openalex.org/W2286180288","https://openalex.org/W2014107605","https://openalex.org/W2782798174","https://openalex.org/W2056031911","https://openalex.org/W1968376321","https://openalex.org/W2034375917","https://openalex.org/W2910650375","https://openalex.org/W2759549929","https://openalex.org/W12824624","https://openalex.org/W2345038759"],"abstract_inverted_index":{"Identification":[0],"of":[1,26,85,91,100,113],"nonlinear":[2,29,57,105,117],"dynamic":[3,83],"systems":[4],"remains":[5],"a":[6,64,75,116,131],"significant":[7],"challenge":[8],"across":[9],"engineering.":[10],"This":[11],"work":[12],"suggests":[13],"an":[14,27,39,137],"approach":[15,123],"based":[16],"on":[17,42,136],"Bayesian":[18],"filtering":[19,93],"to":[20,126],"extract":[21],"and":[22,78,94,103,135],"identify":[23],"the":[24,32,52,56,81,86,92,97,101,104],"contribution":[25,53],"unknown":[28],"term":[30],"in":[31,67,129],"system":[33,102],"which":[34,54],"can":[35,108,119],"be":[36,109,120,127],"seen":[37],"as":[38,63],"alternative":[40],"viewpoint":[41],"restoring":[43,58,106],"force":[44,59,107],"surface":[45],"type":[46],"approaches.":[47],"To":[48],"achieve":[49],"this":[50],"identification,":[51],"is":[55,60,72,124],"modelled,":[61],"initially,":[62],"Gaussian":[65,70],"process":[66,71],"time.":[68],"That":[69],"converted":[73],"into":[74],"state\u2013space":[76],"model":[77,118],"combined":[79],"with":[80],"linear":[82],"component":[84],"system.":[87],"Then,":[88],"by":[89],"inference":[90],"smoothing":[95],"distributions,":[96],"internal":[98],"states":[99,115],"extracted.":[110],"In":[111],"possession":[112],"these":[114],"constructed.":[121],"The":[122],"demonstrated":[125],"effective":[128],"both":[130],"simulated":[132],"case":[133],"study":[134],"experimental":[138],"benchmark":[139],"dataset.":[140]},"counts_by_year":[{"year":2026,"cited_by_count":10},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2021-09-27T00:00:00"}
