{"id":"https://openalex.org/W1589383731","doi":"https://doi.org/10.23919/ecc.2001.7075935","title":"Optimal Laguerre series expansion of discrete volterra models","display_name":"Optimal Laguerre series expansion of discrete volterra models","publication_year":2001,"publication_date":"2001-09-01","ids":{"openalex":"https://openalex.org/W1589383731","doi":"https://doi.org/10.23919/ecc.2001.7075935","mag":"1589383731"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2001.7075935","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2001.7075935","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2001 European Control Conference (ECC)","raw_type":"proceedings-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/A5111530335","display_name":"Ricardo J.G.B. Campello","orcid":null},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"R. J. G. B. Campello","raw_affiliation_strings":["DCA/FEEC/UNICAMP, CEP13083-970, Campinas - SP, Brazil"],"affiliations":[{"raw_affiliation_string":"DCA/FEEC/UNICAMP, CEP13083-970, Campinas - SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112428259","display_name":"W.C. Amaral","orcid":null},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"W. C. Amaral","raw_affiliation_strings":["DCA/FEEC/UNICAMP, CEP13083-970, Campinas - SP, Brazil"],"affiliations":[{"raw_affiliation_string":"DCA/FEEC/UNICAMP, CEP13083-970, Campinas - SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050519323","display_name":"G\u00e9rard Favier","orcid":"https://orcid.org/0000-0002-8882-7410"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210106479","display_name":"Laboratoire d'Informatique, Signaux et Syst\u00e8mes de Sophia Antipolis","ror":"https://ror.org/01215r597","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106479","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"G. Favier","raw_affiliation_strings":["I3S/CNRS/UNSA, Sophia-Antipolis, France"],"affiliations":[{"raw_affiliation_string":"I3S/CNRS/UNSA, Sophia-Antipolis, France","institution_ids":["https://openalex.org/I4210106479","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111530335"],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":null,"apc_paid":null,"fwci":3.4126,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.90905083,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"372","last_page":"377"},"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/T11081","display_name":"Advanced Control Systems Design","score":0.9955000281333923,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.8171938061714172},{"id":"https://openalex.org/keywords/volterra-series","display_name":"Volterra series","score":0.7751560211181641},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6725591421127319},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6131508350372314},{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.5981501340866089},{"id":"https://openalex.org/keywords/laguerres-method","display_name":"Laguerre's method","score":0.5928767919540405},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.578139066696167},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5651068091392517},{"id":"https://openalex.org/keywords/volterra-integral-equation","display_name":"Volterra integral equation","score":0.5266506671905518},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5194253921508789},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4642987847328186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4569365084171295},{"id":"https://openalex.org/keywords/series-expansion","display_name":"Series expansion","score":0.4119744300842285},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3672075867652893},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.18831276893615723},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.16949832439422607},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14565697312355042},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.06990638375282288}],"concepts":[{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.8171938061714172},{"id":"https://openalex.org/C2778532037","wikidata":"https://www.wikidata.org/wiki/Q3957891","display_name":"Volterra series","level":3,"score":0.7751560211181641},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6725591421127319},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6131508350372314},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.5981501340866089},{"id":"https://openalex.org/C43475892","wikidata":"https://www.wikidata.org/wiki/Q1171964","display_name":"Laguerre's method","level":4,"score":0.5928767919540405},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.578139066696167},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5651068091392517},{"id":"https://openalex.org/C21965488","wikidata":"https://www.wikidata.org/wiki/Q2632613","display_name":"Volterra integral equation","level":3,"score":0.5266506671905518},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5194253921508789},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4642987847328186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4569365084171295},{"id":"https://openalex.org/C186080144","wikidata":"https://www.wikidata.org/wiki/Q358733","display_name":"Series expansion","level":2,"score":0.4119744300842285},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3672075867652893},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.18831276893615723},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.16949832439422607},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14565697312355042},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.06990638375282288},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc.2001.7075935","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2001.7075935","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2001 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:researchonline.jcu.edu.au:46803","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400519","display_name":"ResearchOnline at James Cook University (James Cook University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I86467917","host_organization_name":"James Cook University","host_organization_lineage":["https://openalex.org/I86467917"],"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":"Conference Item"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1981116189","https://openalex.org/W2012328869","https://openalex.org/W2037950596","https://openalex.org/W2042873906","https://openalex.org/W2093846413","https://openalex.org/W2115844704","https://openalex.org/W2124776405","https://openalex.org/W2145303556","https://openalex.org/W2149361972","https://openalex.org/W2151458808","https://openalex.org/W2160068178","https://openalex.org/W2285257517","https://openalex.org/W2787523326"],"related_works":["https://openalex.org/W1515881615","https://openalex.org/W2038558186","https://openalex.org/W4384817913","https://openalex.org/W3140203091","https://openalex.org/W2296415454","https://openalex.org/W2614474436","https://openalex.org/W2352988807","https://openalex.org/W2965132287","https://openalex.org/W2972498722","https://openalex.org/W2079580055"],"abstract_inverted_index":{"This":[0,47],"paper":[1],"is":[2,22,71,86,103],"concerned":[3],"with":[4,44],"the":[5,12,25,38,75,93,97,111,116],"selection":[6],"of":[7,16,27,74,96,110],"optimal":[8,94],"Laguerre":[9],"bases":[10],"for":[11,92],"orthonormal":[13],"series":[14],"expansion":[15,95],"discrete-time":[17],"Volterra":[18,66,99],"models.":[19,46,82],"The":[20,68,83],"aim":[21],"to":[23,30,63,105],"minimize":[24],"number":[26],"functions":[28],"needed":[29],"provide":[31],"a":[32,64,72],"given":[33],"approximation":[34],"accuracy,":[35],"thus":[36],"simplifying":[37],"modeling":[39],"and":[40,53],"control":[41],"problems":[42],"associated":[43],"these":[45],"issue":[48],"was":[49],"addressed":[50],"by":[51],"Fu":[52],"Dumont":[54],"[8]":[55],"focusing":[56,79],"on":[57,80],"linear":[58],"systems,":[59],"which":[60],"are":[61],"equivalent":[62],"first-order":[65],"model.":[67],"present":[69],"work":[70,76],"generalization":[73],"mentioned":[77],"above":[78],"second-order":[81,98],"main":[84],"result":[85],"an":[87],"analytic":[88],"strict":[89],"global":[90],"solution":[91],"kernel.":[100],"An":[101],"example":[102],"provided":[104],"illustrate":[106],"some":[107],"theoretical":[108],"aspects":[109],"mathematical":[112],"results":[113],"presented":[114],"in":[115],"paper.":[117]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}