{"id":"https://openalex.org/W2334731199","doi":"https://doi.org/10.1093/imamci/dnu055","title":"Guaranteed parameter estimation of non-linear dynamic systems using high-order bounding techniques with domain and CPU-time reduction strategies","display_name":"Guaranteed parameter estimation of non-linear dynamic systems using high-order bounding techniques with domain and CPU-time reduction strategies","publication_year":2015,"publication_date":"2015-01-27","ids":{"openalex":"https://openalex.org/W2334731199","doi":"https://doi.org/10.1093/imamci/dnu055","mag":"2334731199"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnu055","is_oa":true,"landing_page_url":"https://doi.org/10.1093/imamci/dnu055","pdf_url":"https://academic.oup.com/imamci/article-pdf/33/3/563/6766745/dnu055.pdf","source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://academic.oup.com/imamci/article-pdf/33/3/563/6766745/dnu055.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038687192","display_name":"Radoslav Paulen","orcid":"https://orcid.org/0000-0002-1599-2634"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Radoslav Paulen","raw_affiliation_strings":["Process Dynamics and Operations Group, Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, Emil-Figge-Str. 70, 44221 Dortmund, Germany"],"affiliations":[{"raw_affiliation_string":"Process Dynamics and Operations Group, Department of Biochemical and Chemical Engineering, Technische Universit\u00e4t Dortmund, Emil-Figge-Str. 70, 44221 Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058471300","display_name":"Mario E. Villanueva","orcid":"https://orcid.org/0000-0003-4375-7081"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mario E. Villanueva","raw_affiliation_strings":["Centre for Process Systems Engineering, Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK"],"affiliations":[{"raw_affiliation_string":"Centre for Process Systems Engineering, Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014175672","display_name":"Beno\u00eet Chachuat","orcid":"https://orcid.org/0000-0003-4780-9686"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Beno\u00eet Chachuat","raw_affiliation_strings":["Centre for Process Systems Engineering, Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK"],"affiliations":[{"raw_affiliation_string":"Centre for Process Systems Engineering, Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014175672"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":5.0939,"has_fulltext":true,"cited_by_count":28,"citation_normalized_percentile":{"value":0.95883663,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"33","issue":"3","first_page":"563","last_page":"587"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9976000189781189,"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/bounding-overwatch","display_name":"Bounding overwatch","score":0.79798424243927},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.5853548645973206},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5742891430854797},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5654683709144592},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5591511130332947},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.542431116104126},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47277215123176575},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4555578827857971},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4494011402130127},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4474513530731201},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43483343720436096},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42617326974868774},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.41176119446754456},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3646335005760193}],"concepts":[{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.79798424243927},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.5853548645973206},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5742891430854797},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5654683709144592},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5591511130332947},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.542431116104126},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47277215123176575},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4555578827857971},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4494011402130127},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4474513530731201},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43483343720436096},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42617326974868774},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.41176119446754456},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3646335005760193},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1093/imamci/dnu055","is_oa":true,"landing_page_url":"https://doi.org/10.1093/imamci/dnu055","pdf_url":"https://academic.oup.com/imamci/article-pdf/33/3/563/6766745/dnu055.pdf","source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},{"id":"pmh:oai:open-archive.highwire.org:imamci:33/3/563","is_oa":false,"landing_page_url":"http://imamci.oxfordjournals.org/cgi/content/short/33/3/563","pdf_url":null,"source":{"id":"https://openalex.org/S4406923041","display_name":"HighWire Press Open Archive","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"TEXT"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/41686","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/41686","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"587","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1093/imamci/dnu055","is_oa":true,"landing_page_url":"https://doi.org/10.1093/imamci/dnu055","pdf_url":"https://academic.oup.com/imamci/article-pdf/33/3/563/6766745/dnu055.pdf","source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.7900000214576721}],"awards":[{"id":"https://openalex.org/G3146514303","display_name":"Optimal Design and Operation of Microbial Ecosystems for Bioenergy Production and Waste Treatment","funder_award_id":"293953","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4557696588","display_name":null,"funder_award_id":"291458","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5719797302","display_name":null,"funder_award_id":"MOBOCON","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2334731199.pdf","grobid_xml":"https://content.openalex.org/works/W2334731199.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W2679833","https://openalex.org/W16791598","https://openalex.org/W69087137","https://openalex.org/W275803162","https://openalex.org/W285242605","https://openalex.org/W306903215","https://openalex.org/W847551804","https://openalex.org/W1507872748","https://openalex.org/W1538999574","https://openalex.org/W1574435983","https://openalex.org/W1831474212","https://openalex.org/W1969747399","https://openalex.org/W1972384851","https://openalex.org/W1974027612","https://openalex.org/W1978768665","https://openalex.org/W1988535797","https://openalex.org/W1988622494","https://openalex.org/W1994833872","https://openalex.org/W1998661762","https://openalex.org/W2001741445","https://openalex.org/W2002327982","https://openalex.org/W2006919190","https://openalex.org/W2007780425","https://openalex.org/W2009265532","https://openalex.org/W2012580470","https://openalex.org/W2018999024","https://openalex.org/W2022623166","https://openalex.org/W2025604257","https://openalex.org/W2030389346","https://openalex.org/W2032234281","https://openalex.org/W2033403483","https://openalex.org/W2046480531","https://openalex.org/W2051679046","https://openalex.org/W2079556873","https://openalex.org/W2079585172","https://openalex.org/W2084006722","https://openalex.org/W2086555142","https://openalex.org/W2088876556","https://openalex.org/W2092445015","https://openalex.org/W2092700130","https://openalex.org/W2117251576","https://openalex.org/W2147850268","https://openalex.org/W2154904851","https://openalex.org/W2164009812","https://openalex.org/W2483775066","https://openalex.org/W4298255709","https://openalex.org/W4302562054"],"related_works":["https://openalex.org/W2171197263","https://openalex.org/W2374577476","https://openalex.org/W2520934858","https://openalex.org/W2990487117","https://openalex.org/W51232203","https://openalex.org/W2012882356","https://openalex.org/W2098412892","https://openalex.org/W109635080","https://openalex.org/W4213384165","https://openalex.org/W2085275338"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,54,60,85,114,121],"concerned":[3],"with":[4,150],"guaranteed":[5],"parameter":[6,33,58,106],"estimation":[7],"of":[8,15,22,30,40,74,99,111,165,177,200,223],"non-linear":[9],"dynamic":[10,101],"systems":[11],"in":[12,119,170,221],"a":[13,78,104,131,139],"context":[14],"bounded":[16],"measurement":[17],"error.":[18],"The":[19],"problem":[20],"consists":[21],"finding\u2014or":[23],"approximating":[24],"as":[25,27,156],"closely":[26],"possible\u2014the":[28],"set":[29,59,98],"all":[31],"possible":[32],"values":[34,39],"such":[35,138],"that":[36,186,207],"the":[37,57,82,92,96,100,109,122,127,163,174,178,217],"predicted":[38],"certain":[41],"outputs":[42],"match":[43],"their":[44,157,193],"corresponding":[45],"measurements":[46],"within":[47],"prescribed":[48],"error":[49],"bounds.":[50],"A":[51],"set-inversion":[52,179],"algorithm":[53],"applied,":[55],"whereby":[56],"successively":[61],"partitioned":[62],"into":[63],"smaller":[64],"boxes":[65],"and":[66,108,181,226],"exclusion":[67,88],"tests":[68,89],"are":[69,203],"performed":[70],"to":[71,94,125,172],"eliminate":[72],"some":[73],"these":[75,112,208],"boxes,":[76],"until":[77],"given":[79],"threshold":[80],"on":[81,91,147],"approximation":[83],"level":[84],"met.":[86],"Such":[87],"rely":[90],"ability":[93],"bound":[95],"solution":[97],"system":[102],"for":[103],"finite":[105],"subset,":[107],"tightness":[110],"bounds":[113,155],"therefore":[115],"paramount;":[116],"equally":[117],"important":[118],"practice":[120],"time":[123],"required":[124],"compute":[126],"bounds,":[128],"thereby":[129],"defining":[130],"trade-off.":[132],"In":[133],"this":[134],"paper,":[135],"we":[136,182],"investigate":[137,162],"trade-off":[140],"by":[141],"comparing":[142],"various":[143,201],"bounding":[144,212],"techniques":[145,169,213],"based":[146],"Taylor":[148,189],"models":[149,190],"either":[151],"interval":[152],"or":[153,191],"ellipsoidal":[154],"remainder":[158],"terms.":[159],"We":[160],"also":[161],"use":[164],"optimization-based":[166],"domain":[167],"reduction":[168],"order":[171],"enhance":[173],"convergence":[175],"speed":[176],"algorithm,":[180],"implement":[183],"simple":[184],"strategies":[185],"avoid":[187],"recomputing":[188],"reduce":[192,216],"expansion":[194],"orders":[195],"wherever":[196],"possible.":[197],"Case":[198],"studies":[199],"complexities":[202],"presented,":[204],"which":[205],"show":[206],"improvements":[209],"using":[210],"Taylor-based":[211],"can":[214],"significantly":[215],"computational":[218],"burden,":[219],"both":[220],"terms":[222],"iteration":[224],"count":[225],"CPU":[227],"time.":[228]},"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
