{"id":"https://openalex.org/W3047344174","doi":"https://doi.org/10.1109/access.2020.3013829","title":"Approximate Nonlinear Discrete-Time Models Based on B-Spline Functions","display_name":"Approximate Nonlinear Discrete-Time Models Based on B-Spline Functions","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3047344174","doi":"https://doi.org/10.1109/access.2020.3013829","mag":"3047344174"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3013829","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3013829","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09154714.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09154714.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020900310","display_name":"Claudia S\u00e1nchez","orcid":"https://orcid.org/0000-0002-3531-5198"},"institutions":[{"id":"https://openalex.org/I75778554","display_name":"Federico Santa Mar\u00eda Technical University","ror":"https://ror.org/05510vn56","country_code":"CL","type":"education","lineage":["https://openalex.org/I75778554"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Claudia Sanchez","raw_affiliation_strings":["Department of Electronic Engineering, Universidad Técnica Federico Santa María, Valparaíso, Chile"],"raw_orcid":"https://orcid.org/0000-0002-3531-5198","affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Universidad Técnica Federico Santa María, Valparaíso, Chile","institution_ids":["https://openalex.org/I75778554"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089358089","display_name":"Juan I. Yuz","orcid":"https://orcid.org/0000-0002-9373-7065"},"institutions":[{"id":"https://openalex.org/I75778554","display_name":"Federico Santa Mar\u00eda Technical University","ror":"https://ror.org/05510vn56","country_code":"CL","type":"education","lineage":["https://openalex.org/I75778554"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Juan I. Yuz","raw_affiliation_strings":["Department of Electronic Engineering, Universidad Técnica Federico Santa María, Valparaíso, Chile"],"raw_orcid":"https://orcid.org/0000-0002-9373-7065","affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Universidad Técnica Federico Santa María, Valparaíso, Chile","institution_ids":["https://openalex.org/I75778554"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020900310"],"corresponding_institution_ids":["https://openalex.org/I75778554"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.1488,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.44987812,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"8","issue":null,"first_page":"143366","last_page":"143374"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.986299991607666,"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":0.986299991607666,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9829999804496765,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9620000123977661,"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/discretization","display_name":"Discretization","score":0.6698673963546753},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.644692063331604},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6011900305747986},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5810741782188416},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5412466526031494},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.5327660441398621},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5207191109657288},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5175427794456482},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5153138637542725},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.5068300366401672},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.4934608042240143},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.4851556420326233},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4332903027534485},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3214881122112274},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2759900689125061}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6698673963546753},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.644692063331604},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6011900305747986},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5810741782188416},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5412466526031494},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.5327660441398621},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5207191109657288},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5175427794456482},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5153138637542725},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.5068300366401672},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.4934608042240143},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.4851556420326233},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4332903027534485},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3214881122112274},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2759900689125061},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.3013829","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3013829","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09154714.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:bfb1a15da3e749248e034516efa72997","is_oa":true,"landing_page_url":"https://doaj.org/article/bfb1a15da3e749248e034516efa72997","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 143366-143374 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3013829","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3013829","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09154714.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1870716208","display_name":null,"funder_award_id":"1181090","funder_id":"https://openalex.org/F4320338106","funder_display_name":"Fondo de Fomento al Desarrollo Cient\u00edfico y Tecnol\u00f3gico"},{"id":"https://openalex.org/G2860942915","display_name":null,"funder_award_id":"PIIC 006/2019","funder_id":"https://openalex.org/F4320310976","funder_display_name":"Universidad T\u00e9cnica Federico Santa Mar\u00eda"},{"id":"https://openalex.org/G4168465382","display_name":null,"funder_award_id":"ANID-PFCHA/2018-21180825","funder_id":"https://openalex.org/F4320334812","funder_display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G4174825882","display_name":"MODELING AND ANALYSIS OF FLUID-STRUCTURE SYSTEMS USING PORT-HAMILTONIAN DESCRIPTIONS","funder_award_id":"1181090","funder_id":"https://openalex.org/F4320331146","funder_display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo"},{"id":"https://openalex.org/G7116716112","display_name":null,"funder_award_id":"FB-0008","funder_id":"https://openalex.org/F4320310976","funder_display_name":"Universidad T\u00e9cnica Federico Santa Mar\u00eda"},{"id":"https://openalex.org/G8229755982","display_name":null,"funder_award_id":"1181090","funder_id":"https://openalex.org/F4320338073","funder_display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320310976","display_name":"Universidad T\u00e9cnica Federico Santa Mar\u00eda","ror":"https://ror.org/05510vn56"},{"id":"https://openalex.org/F4320331146","display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo","ror":null},{"id":"https://openalex.org/F4320334812","display_name":"Comisi\u00f3n Nacional de Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/02ap3w078"},{"id":"https://openalex.org/F4320338073","display_name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","ror":"https://ror.org/02ap3w078"},{"id":"https://openalex.org/F4320338106","display_name":"Fondo de Fomento al Desarrollo Cient\u00edfico y Tecnol\u00f3gico","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3047344174.pdf","grobid_xml":"https://content.openalex.org/works/W3047344174.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W597444017","https://openalex.org/W1486034868","https://openalex.org/W1967849210","https://openalex.org/W1975231952","https://openalex.org/W1991232701","https://openalex.org/W2028628891","https://openalex.org/W2031658231","https://openalex.org/W2050921210","https://openalex.org/W2060358103","https://openalex.org/W2099681040","https://openalex.org/W2101222054","https://openalex.org/W2112355057","https://openalex.org/W2116663374","https://openalex.org/W2126068089","https://openalex.org/W2127102571","https://openalex.org/W2139136541","https://openalex.org/W2157576608","https://openalex.org/W2162870748","https://openalex.org/W2163291691","https://openalex.org/W2921163307","https://openalex.org/W2944669408","https://openalex.org/W3011702768","https://openalex.org/W4206651839","https://openalex.org/W4247616255","https://openalex.org/W4292872153"],"related_works":["https://openalex.org/W2040666836","https://openalex.org/W2238041693","https://openalex.org/W2112774109","https://openalex.org/W125347959","https://openalex.org/W1990789772","https://openalex.org/W2073959938","https://openalex.org/W2536422707","https://openalex.org/W24145419","https://openalex.org/W2036329708","https://openalex.org/W2073514592"],"abstract_inverted_index":{"We":[0],"consider":[1,15],"the":[2,16,19,22,41,52,58,61,65,70,76,81,88,104,109],"discretization":[3],"of":[4,51,60,80,108],"continuous-time":[5],"nonlinear":[6],"systems":[7],"described":[8],"by":[9,26],"normal":[10],"forms.":[11],"In":[12],"particular,":[13],"we":[14],"case":[17],"when":[18],"input":[20,62],"to":[21,31,92,103],"system":[23],"is":[24,38,96],"generated":[25],"a":[27],"B-spline":[28],"hold":[29],"device":[30],"obtain":[32],"an":[33],"approximate":[34],"discrete-time":[35,82],"model.":[36],"It":[37],"shown":[39,97],"that":[40,98],"corresponding":[42],"sampled-data":[43],"model":[44,83],"and":[45,63,94],"its":[46],"accuracy":[47],"(measured":[48],"in":[49],"terms":[50],"local":[53],"truncation":[54],"error)":[55],"depend":[56],"on":[57,64],"smoothness":[59],"applied":[66],"integration":[67],"strategy,":[68],"namely,":[69],"truncated":[71],"Taylor":[72],"series":[73],"expansion.":[74],"Moreover,":[75],"sampling":[77,89,106],"zero":[78,100],"dynamics":[79,101],"are":[84],"asymptotically":[85],"characterized":[86],"as":[87],"period":[90],"goes":[91],"zero,":[93],"it":[95],"these":[99],"converge":[102],"asymptotic":[105],"zeros":[107],"linear":[110],"case.":[111]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}