{"id":"https://openalex.org/W2142966877","doi":"https://doi.org/10.1109/cdc.2005.1582695","title":"Parameter Identification of Hammerstein Models using Elimination Theory","display_name":"Parameter Identification of Hammerstein Models using Elimination Theory","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2142966877","doi":"https://doi.org/10.1109/cdc.2005.1582695","mag":"2142966877"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1582695","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582695","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","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/A5100626236","display_name":"Kaiyu Wang","orcid":"https://orcid.org/0000-0001-5209-5417"},"institutions":[{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kaiyu Wang","raw_affiliation_strings":["ECE Department, University of Tennessee, Knoxville, TN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ECE Department, University of Tennessee, Knoxville, TN, USA","institution_ids":["https://openalex.org/I75027704"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066324401","display_name":"Marc Bodson","orcid":"https://orcid.org/0000-0003-3707-7151"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Bodson","raw_affiliation_strings":["EE Department, University of Utah, Salt Lake, UT, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EE Department, University of Utah, Salt Lake, UT, USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113456296","display_name":"J. Chiasson","orcid":null},"institutions":[{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Chiasson","raw_affiliation_strings":["ECE Department, University of Tennessee, Knoxville, TN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ECE Department, University of Tennessee, Knoxville, TN, USA","institution_ids":["https://openalex.org/I75027704"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014930285","display_name":"Leon M. Tolbert","orcid":"https://orcid.org/0000-0002-7285-609X"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]},{"id":"https://openalex.org/I1309980932","display_name":"National Transportation Research Center","ror":"https://ror.org/011fc0n53","country_code":"US","type":"government","lineage":["https://openalex.org/I1309980932"]},{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L.M. Tolbert","raw_affiliation_strings":["ECE Department, University of Tennessee, Knoxville, TN, USA","NTRC, Oak Ridge National Laboratory, Knoxville, TN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ECE Department, University of Tennessee, Knoxville, TN, USA","institution_ids":["https://openalex.org/I75027704"]},{"raw_affiliation_string":"NTRC, Oak Ridge National Laboratory, Knoxville, TN, USA","institution_ids":["https://openalex.org/I1309980932","https://openalex.org/I1289243028"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.1228537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3444","last_page":"3449"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7712469100952148},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5756756067276001},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5322824716567993},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.525402843952179},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.5222702622413635},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.5087509751319885},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4956423044204712},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47479337453842163},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.4547911286354065},{"id":"https://openalex.org/keywords/parameter-identification-problem","display_name":"Parameter identification problem","score":0.4497168958187103},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44923287630081177},{"id":"https://openalex.org/keywords/nonlinear-system-identification","display_name":"Nonlinear system identification","score":0.4393371641635895},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4338500499725342},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4333607852458954},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.42144811153411865},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4195641279220581},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3963567912578583},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28550851345062256},{"id":"https://openalex.org/keywords/model-parameter","display_name":"Model parameter","score":0.24228355288505554},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.22216489911079407},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11039245128631592},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09627878665924072}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7712469100952148},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5756756067276001},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5322824716567993},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.525402843952179},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.5222702622413635},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.5087509751319885},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4956423044204712},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47479337453842163},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.4547911286354065},{"id":"https://openalex.org/C79610928","wikidata":"https://www.wikidata.org/wiki/Q1656743","display_name":"Parameter identification problem","level":3,"score":0.4497168958187103},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44923287630081177},{"id":"https://openalex.org/C22157029","wikidata":"https://www.wikidata.org/wiki/Q17080460","display_name":"Nonlinear system identification","level":4,"score":0.4393371641635895},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4338500499725342},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4333607852458954},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.42144811153411865},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4195641279220581},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3963567912578583},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28550851345062256},{"id":"https://openalex.org/C2983447341","wikidata":"https://www.wikidata.org/wiki/Q1413083","display_name":"Model parameter","level":2,"score":0.24228355288505554},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.22216489911079407},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11039245128631592},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09627878665924072},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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":1,"locations":[{"id":"doi:10.1109/cdc.2005.1582695","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582695","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1483218536","https://openalex.org/W1494937510","https://openalex.org/W1518341038","https://openalex.org/W1562183207","https://openalex.org/W1949195510","https://openalex.org/W2029686441","https://openalex.org/W2058908415","https://openalex.org/W2072627349","https://openalex.org/W2087412481","https://openalex.org/W2102160006","https://openalex.org/W2116862700","https://openalex.org/W2132921044","https://openalex.org/W2137691086","https://openalex.org/W2144567492","https://openalex.org/W2157812947","https://openalex.org/W2170300530","https://openalex.org/W2271358270","https://openalex.org/W2982723241","https://openalex.org/W4238586295","https://openalex.org/W4292096448","https://openalex.org/W6629716551"],"related_works":["https://openalex.org/W2152282424","https://openalex.org/W2091914113","https://openalex.org/W564324191","https://openalex.org/W2021395081","https://openalex.org/W2010663988","https://openalex.org/W4386033416","https://openalex.org/W2004841036","https://openalex.org/W1490020332","https://openalex.org/W1909999440","https://openalex.org/W1576040274"],"abstract_inverted_index":{"A":[0],"Hammerstein":[1],"model":[2,6],"is":[3,26],"a":[4,13,18,29,37,52,76,89],"system":[5],"in":[7,32,45,88],"which":[8],"the":[9,23,33,46,59,80,83],"inputs":[10,34],"go":[11],"through":[12],"static":[14,24],"nonlinearity":[15,25,31],"followed":[16],"by":[17],"linear":[19],"time-invariant":[20],"system.":[21],"Often":[22],"modeled":[27],"as":[28,36],"polynomial":[30],"or":[35],"piecewise":[38],"constant":[39],"nonlinearity.":[40],"Such":[41],"models":[42],"are":[43,98],"nonlinear":[44],"unknown":[47],"parameters":[48],"and":[49],"therefore":[50],"present":[51],"challenging":[53],"identification":[54],"problem.":[55],"In":[56],"this":[57],"work,":[58],"authors":[60],"show":[61],"that":[62,74,97],"elimination":[63],"theory":[64],"can":[65,85],"be":[66,86],"used":[67],"to":[68],"solve":[69],"exactly":[70],"for":[71],"parameter":[72],"values":[73],"minimize":[75],"least-square":[77],"criterion.":[78],"Thus,":[79],"approach":[81],"guarantees":[82],"minimum":[84],"found":[87],"finite":[90],"number":[91],"of":[92],"steps,":[93],"unlike":[94],"iterative":[95],"methods":[96],"currently":[99],"used.":[100]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
