{"id":"https://openalex.org/W2113563938","doi":"https://doi.org/10.1109/acc.2007.4282754","title":"A Procedure for Obtaining Multi Input Multi Output Volterra Models From Port-Based Nonlinear Differential Equations","display_name":"A Procedure for Obtaining Multi Input Multi Output Volterra Models From Port-Based Nonlinear Differential Equations","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2113563938","doi":"https://doi.org/10.1109/acc.2007.4282754","mag":"2113563938"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2007.4282754","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282754","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","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":null,"display_name":"Elliot Motato","orcid":null},"institutions":[{"id":"https://openalex.org/I233745408","display_name":"Pontificia Universidad Javeriana","ror":"https://ror.org/03etyjw28","country_code":"CO","type":"education","lineage":["https://openalex.org/I233745408"]}],"countries":["CO"],"is_corresponding":true,"raw_author_name":"Elliot Motato","raw_affiliation_strings":["Department of Industrial Engineering, Pontificia Universidad Javeriana, Cali, Colombia","Pontificia Univ. Javeriana, Cali"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Pontificia Universidad Javeriana, Cali, Colombia","institution_ids":["https://openalex.org/I233745408"]},{"raw_affiliation_string":"Pontificia Univ. Javeriana, Cali","institution_ids":["https://openalex.org/I233745408"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014022847","display_name":"Clark J. Radcliffe","orcid":"https://orcid.org/0000-0001-7693-1571"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Clark J Radcliffe","raw_affiliation_strings":["Department of Mechanical Engineering, Michigan State University, East Lansing, MI, USA","ASME Fellow, Professor, Department of Mechanical Engineering, Michigan State University, East Lansing, Michigan, USA. radcliff@msu.edu"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Michigan State University, East Lansing, MI, USA","institution_ids":["https://openalex.org/I87216513"]},{"raw_affiliation_string":"ASME Fellow, Professor, Department of Mechanical Engineering, Michigan State University, East Lansing, Michigan, USA. radcliff@msu.edu","institution_ids":["https://openalex.org/I87216513"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I233745408"],"apc_list":null,"apc_paid":null,"fwci":0.5641,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58402971,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"828","last_page":"833"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9993000030517578,"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":0.9993000030517578,"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":0.987500011920929,"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/T11372","display_name":"Hydraulic and Pneumatic Systems","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/ode","display_name":"Ode","score":0.8284484148025513},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7894032001495361},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6450414657592773},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6295177340507507},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.6159231662750244},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5773922801017761},{"id":"https://openalex.org/keywords/port","display_name":"Port (circuit theory)","score":0.5491334795951843},{"id":"https://openalex.org/keywords/volterra-series","display_name":"Volterra series","score":0.5427156090736389},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5352485775947571},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.514542281627655},{"id":"https://openalex.org/keywords/volterra-integral-equation","display_name":"Volterra integral equation","score":0.4515969157218933},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4347050189971924},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.397828072309494},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.347436785697937},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25599268078804016},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.157232403755188},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09912139177322388},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06013154983520508}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.8284484148025513},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7894032001495361},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6450414657592773},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6295177340507507},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.6159231662750244},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5773922801017761},{"id":"https://openalex.org/C32802771","wikidata":"https://www.wikidata.org/wiki/Q2443617","display_name":"Port (circuit theory)","level":2,"score":0.5491334795951843},{"id":"https://openalex.org/C2778532037","wikidata":"https://www.wikidata.org/wiki/Q3957891","display_name":"Volterra series","level":3,"score":0.5427156090736389},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5352485775947571},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.514542281627655},{"id":"https://openalex.org/C21965488","wikidata":"https://www.wikidata.org/wiki/Q2632613","display_name":"Volterra integral equation","level":3,"score":0.4515969157218933},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4347050189971924},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.397828072309494},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.347436785697937},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25599268078804016},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.157232403755188},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09912139177322388},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06013154983520508},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2007.4282754","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282754","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W37887877","https://openalex.org/W68300592","https://openalex.org/W87809706","https://openalex.org/W1182838307","https://openalex.org/W1489704256","https://openalex.org/W1542500160","https://openalex.org/W1552098139","https://openalex.org/W1675507678","https://openalex.org/W1991777572","https://openalex.org/W2009742279","https://openalex.org/W2025350006","https://openalex.org/W2045705528","https://openalex.org/W2098924575","https://openalex.org/W2101689039","https://openalex.org/W2117538235","https://openalex.org/W2130536137","https://openalex.org/W2134578073","https://openalex.org/W2148140009","https://openalex.org/W2153275674","https://openalex.org/W2160068178","https://openalex.org/W6629100583","https://openalex.org/W6633105316","https://openalex.org/W6637495838","https://openalex.org/W6648297088","https://openalex.org/W6675077729"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W1580703421","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4382202915","https://openalex.org/W4288093367","https://openalex.org/W3093456297"],"abstract_inverted_index":{"Physical":[0],"nonlinear":[1,9,21,38,67,106,130],"dynamic":[2],"systems":[3],"have":[4],"traditionally":[5],"been":[6],"modeled":[7,98],"using":[8,99],"ordinary":[10],"differential":[11],"equations":[12],"(ODEs).":[13],"One":[14],"solution":[15,32],"technique":[16,33],"for":[17,34],"single-input,":[18],"single-output":[19],"(SISO)":[20],"ODEs":[22,39,68],"is":[23,40,69,80,108],"obtained":[24],"through":[25],"a":[26,55,72,104],"Volterra":[27,50,62,114,122],"transfer":[28,115],"function.":[29],"Applying":[30],"this":[31,53],"multi-input,":[35],"multi-output":[36],"(MIMO)":[37],"complicated":[41],"due":[42],"to":[43,57,82,128],"the":[44,75,83,129],"difficulty":[45],"of":[46,77,85,103],"analytically":[47],"determining":[48],"MIMO":[49,61,113],"kernels.":[51],"In":[52,71],"work":[54],"procedure":[56],"obtain":[58],"frequency":[59],"domain":[60],"models":[63,89,117],"from":[64],"external":[65],"port-based":[66,73],"presented.":[70],"model":[74,123,132],"number":[76,84],"system":[78,86,95],"inputs":[79],"equal":[81],"outputs.":[87],"Port-based":[88],"are":[90,118,125],"important":[91],"because":[92],"any":[93],"physical":[94],"can":[96],"be":[97],"ports.":[100],"An":[101],"example":[102],"two-port":[105],"ODE":[107,131],"presented":[109],"and":[110],"different":[111],"truncated":[112,121],"function":[116],"obtained.":[119],"The":[120],"responses":[124],"then":[126],"compared":[127],"response.":[133]},"counts_by_year":[],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}