{"id":"https://openalex.org/W2166444403","doi":"https://doi.org/10.1109/icarcv.2004.1469779","title":"A formal linearization for time-variant nonlinear systems by the cubic hermite interpolation and its applications","display_name":"A formal linearization for time-variant nonlinear systems by the cubic hermite interpolation and its applications","publication_year":2005,"publication_date":"2005-07-27","ids":{"openalex":"https://openalex.org/W2166444403","doi":"https://doi.org/10.1109/icarcv.2004.1469779","mag":"2166444403"},"language":"en","primary_location":{"id":"doi:10.1109/icarcv.2004.1469779","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2004.1469779","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004.","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/A5038264067","display_name":"Katsuhiro Narikiyo","orcid":null},"institutions":[{"id":"https://openalex.org/I115301423","display_name":"National Institute of Technology, Hiroshima College","ror":"https://ror.org/04aa84x73","country_code":"JP","type":"education","lineage":["https://openalex.org/I115301423","https://openalex.org/I4210120810"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"K. Narikiyo","raw_affiliation_strings":["Hiroshima National College of Maritime Technology, Toyota, Hiroshima, Japan"],"affiliations":[{"raw_affiliation_string":"Hiroshima National College of Maritime Technology, Toyota, Hiroshima, Japan","institution_ids":["https://openalex.org/I115301423"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102748372","display_name":"H. Takata","orcid":"https://orcid.org/0000-0003-2607-4983"},"institutions":[{"id":"https://openalex.org/I107139324","display_name":"Kagoshima University","ror":"https://ror.org/03ss88z23","country_code":"JP","type":"education","lineage":["https://openalex.org/I107139324"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"H. Takata","raw_affiliation_strings":["Department of Electrical Engr, Kagoshima University, Korimoto, Kagoshima, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engr, Kagoshima University, Korimoto, Kagoshima, Japan","institution_ids":["https://openalex.org/I107139324"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038264067"],"corresponding_institution_ids":["https://openalex.org/I115301423"],"apc_list":null,"apc_paid":null,"fwci":0.9579,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.8248125,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"2238","last_page":"2243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9908000230789185,"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":0.9908000230789185,"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9847000241279602,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9840999841690063,"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/cubic-hermite-spline","display_name":"Cubic Hermite spline","score":0.7666231393814087},{"id":"https://openalex.org/keywords/hermite-interpolation","display_name":"Hermite interpolation","score":0.7515459656715393},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.7279673218727112},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.6981224417686462},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6695370078086853},{"id":"https://openalex.org/keywords/monotone-cubic-interpolation","display_name":"Monotone cubic interpolation","score":0.66145920753479},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.568967878818512},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5545769333839417},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5447680354118347},{"id":"https://openalex.org/keywords/feedback-linearization","display_name":"Feedback linearization","score":0.4557255804538727},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4295371174812317},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.4291389584541321},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3879670202732086},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37669724225997925},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2835591435432434},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.2575936019420624},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.23613035678863525},{"id":"https://openalex.org/keywords/nearest-neighbor-interpolation","display_name":"Nearest-neighbor interpolation","score":0.15904730558395386},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.07085484266281128}],"concepts":[{"id":"https://openalex.org/C84607441","wikidata":"https://www.wikidata.org/wiki/Q1537263","display_name":"Cubic Hermite spline","level":5,"score":0.7666231393814087},{"id":"https://openalex.org/C186429297","wikidata":"https://www.wikidata.org/wiki/Q44451","display_name":"Hermite interpolation","level":3,"score":0.7515459656715393},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.7279673218727112},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6981224417686462},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6695370078086853},{"id":"https://openalex.org/C64485984","wikidata":"https://www.wikidata.org/wiki/Q4044484","display_name":"Monotone cubic interpolation","level":5,"score":0.66145920753479},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.568967878818512},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5545769333839417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5447680354118347},{"id":"https://openalex.org/C85736874","wikidata":"https://www.wikidata.org/wiki/Q672139","display_name":"Feedback linearization","level":3,"score":0.4557255804538727},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4295371174812317},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.4291389584541321},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3879670202732086},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37669724225997925},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2835591435432434},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.2575936019420624},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.23613035678863525},{"id":"https://openalex.org/C207214200","wikidata":"https://www.wikidata.org/wiki/Q4202129","display_name":"Nearest-neighbor interpolation","level":4,"score":0.15904730558395386},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.07085484266281128},{"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/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","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/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icarcv.2004.1469779","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2004.1469779","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004.","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":4,"referenced_works":["https://openalex.org/W1866051873","https://openalex.org/W1887006513","https://openalex.org/W1990759748","https://openalex.org/W2504692218"],"related_works":["https://openalex.org/W1611524765","https://openalex.org/W3025960644","https://openalex.org/W2076635665","https://openalex.org/W2317924020","https://openalex.org/W1993375521","https://openalex.org/W3145870991","https://openalex.org/W2374195969","https://openalex.org/W60612525","https://openalex.org/W1972599297","https://openalex.org/W274161252"],"abstract_inverted_index":{"A":[0,73],"computational":[1],"method":[2,64,86],"of":[3,26,62,84],"the":[4,13,27,33,41,55],"formal":[5,48],"linearization":[6],"for":[7],"time-variant":[8,50],"nonlinear":[9,36,74,78],"systems":[10],"by":[11,40,69],"using":[12],"cubic":[14,42],"Hermite":[15,43],"interpolation":[16,44],"is":[17,58,65],"proposed.":[18],"We":[19],"introduce":[20],"a":[21,47,77],"linearizing":[22,56],"function":[23,57],"that":[24],"consists":[25],"state":[28],"variables,":[29],"their":[30],"squares,":[31],"and":[32,45,76,87],"cubes.":[34],"The":[35,60],"terms":[37],"are":[38,80,88],"approximated":[39],"thus":[46],"linear":[49],"system":[51],"with":[52],"respect":[53],"to":[54],"acquired.":[59],"execution":[61],"this":[63,85],"easily":[66],"carried":[67],"out":[68],"simple":[70],"matrix":[71],"multiplications.":[72],"observer":[75],"filter":[79],"synthesized":[81],"as":[82],"applications":[83],"verified":[89],"through":[90],"numerical":[91],"examples.":[92]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}