{"id":"https://openalex.org/W1976321823","doi":"https://doi.org/10.1109/cdc.2011.6160351","title":"Inverse optimal trajectory tracking for discrete time nonlinear positive systems","display_name":"Inverse optimal trajectory tracking for discrete time nonlinear positive systems","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W1976321823","doi":"https://doi.org/10.1109/cdc.2011.6160351","mag":"1976321823"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6160351","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160351","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","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/A5087730614","display_name":"Blanca S. Leon","orcid":null},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Blanca S. Leon","raw_affiliation_strings":["Unidad Guadalajara, CINVESTAV, Guadalajara, Jalisco, Mexico","CINVESTAV, Unidad Guadalajara, Apartado Postal 31-438, Plaza La Luna, Guadalajara, Jalisco, C.P. 45091, Mexico#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Unidad Guadalajara, CINVESTAV, Guadalajara, Jalisco, Mexico","institution_ids":["https://openalex.org/I68368234"]},{"raw_affiliation_string":"CINVESTAV, Unidad Guadalajara, Apartado Postal 31-438, Plaza La Luna, Guadalajara, Jalisco, C.P. 45091, Mexico#TAB#","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004231492","display_name":"Alma Y. Alan\u00eds","orcid":"https://orcid.org/0000-0001-9600-779X"},"institutions":[{"id":"https://openalex.org/I193181351","display_name":"Universidad de Guadalajara","ror":"https://ror.org/043xj7k26","country_code":"MX","type":"education","lineage":["https://openalex.org/I193181351"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Alma Y. Alanis","raw_affiliation_strings":["CUCEI, Universidad de Guadalajara, Zapopan, Jalisco, Mexico","CUCEI, Universidad de Guadalajara, Apartado Postal 51-71, Col. Las Aguilas, C.P. 45080, Zapopan, Jalisco, Mexico#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CUCEI, Universidad de Guadalajara, Zapopan, Jalisco, Mexico","institution_ids":["https://openalex.org/I193181351"]},{"raw_affiliation_string":"CUCEI, Universidad de Guadalajara, Apartado Postal 51-71, Col. Las Aguilas, C.P. 45080, Zapopan, Jalisco, Mexico#TAB#","institution_ids":["https://openalex.org/I193181351"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067597688","display_name":"Edgar N. S\u00e1nchez","orcid":"https://orcid.org/0000-0002-8695-7879"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Edgar N. Sanchez","raw_affiliation_strings":["Unidad Guadalajara, CINVESTAV, Guadalajara, Jalisco, Mexico","CINVESTAV, Unidad Guadalajara, Apartado Postal 31-438, Plaza La Luna, Guadalajara, Jalisco, C.P. 45091, Mexico#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Unidad Guadalajara, CINVESTAV, Guadalajara, Jalisco, Mexico","institution_ids":["https://openalex.org/I68368234"]},{"raw_affiliation_string":"CINVESTAV, Unidad Guadalajara, Apartado Postal 31-438, Plaza La Luna, Guadalajara, Jalisco, C.P. 45091, Mexico#TAB#","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055636722","display_name":"Fernando Ornelas-T\u00e9llez","orcid":"https://orcid.org/0000-0002-6428-8184"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Fernando Ornelas","raw_affiliation_strings":["Unidad Guadalajara, CINVESTAV, Guadalajara, Jalisco, Mexico","CINVESTAV, Unidad Guadalajara, Apartado Postal 31-438, Plaza La Luna, Guadalajara, Jalisco, C.P. 45091, Mexico#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Unidad Guadalajara, CINVESTAV, Guadalajara, Jalisco, Mexico","institution_ids":["https://openalex.org/I68368234"]},{"raw_affiliation_string":"CINVESTAV, Unidad Guadalajara, Apartado Postal 31-438, Plaza La Luna, Guadalajara, Jalisco, C.P. 45091, Mexico#TAB#","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008294081","display_name":"E. Ru\u0131\u0301z-Vel\u00e1zquez","orcid":"https://orcid.org/0000-0003-0478-305X"},"institutions":[{"id":"https://openalex.org/I193181351","display_name":"Universidad de Guadalajara","ror":"https://ror.org/043xj7k26","country_code":"MX","type":"education","lineage":["https://openalex.org/I193181351"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Eduardo Ruiz-Velazquez","raw_affiliation_strings":["CUCEI, Universidad de Guadalajara, Zapopan, Jalisco, Mexico","CUCEI, Universidad de Guadalajara, Apartado Postal 51-71, Col. Las Aguilas, C.P. 45080, Zapopan, Jalisco, Mexico#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CUCEI, Universidad de Guadalajara, Zapopan, Jalisco, Mexico","institution_ids":["https://openalex.org/I193181351"]},{"raw_affiliation_string":"CUCEI, Universidad de Guadalajara, Apartado Postal 51-71, Col. Las Aguilas, C.P. 45080, Zapopan, Jalisco, Mexico#TAB#","institution_ids":["https://openalex.org/I193181351"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1048","last_page":"1053"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9980999827384949,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9980999827384949,"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/T11236","display_name":"Control Systems and Identification","score":0.9965000152587891,"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/T10560","display_name":"Diabetes Management and Research","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/2712","display_name":"Endocrinology, Diabetes and Metabolism"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7454786896705627},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.706756591796875},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5609766244888306},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49844884872436523},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.48349741101264954},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4780174493789673},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.47783780097961426},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.4700333774089813},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.43558451533317566},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.405855268239975},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3388732075691223},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15562283992767334},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.140171080827713}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7454786896705627},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.706756591796875},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5609766244888306},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49844884872436523},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.48349741101264954},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4780174493789673},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.47783780097961426},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.4700333774089813},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.43558451533317566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.405855268239975},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3388732075691223},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15562283992767334},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.140171080827713},{"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2011.6160351","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160351","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W207126501","https://openalex.org/W1555818350","https://openalex.org/W1579577152","https://openalex.org/W1581808154","https://openalex.org/W1804494423","https://openalex.org/W1964693647","https://openalex.org/W1965324089","https://openalex.org/W1979175495","https://openalex.org/W2003766756","https://openalex.org/W2008427019","https://openalex.org/W2041058086","https://openalex.org/W2054100465","https://openalex.org/W2082854326","https://openalex.org/W2095830039","https://openalex.org/W2096013396","https://openalex.org/W2116837988","https://openalex.org/W2139565525","https://openalex.org/W2143070237","https://openalex.org/W2150372698","https://openalex.org/W2154095835","https://openalex.org/W2531130876","https://openalex.org/W3107445722","https://openalex.org/W3139057460","https://openalex.org/W4248816015","https://openalex.org/W6674919314"],"related_works":["https://openalex.org/W2089114113","https://openalex.org/W2389555968","https://openalex.org/W2352634297","https://openalex.org/W80107739","https://openalex.org/W2020144404","https://openalex.org/W4372347353","https://openalex.org/W2149615975","https://openalex.org/W4323768008","https://openalex.org/W2162299404","https://openalex.org/W2103062922"],"abstract_inverted_index":{"In":[0],"this":[1,79,105],"paper,":[2],"discrete":[3],"time":[4],"inverse":[5,91],"optimal":[6,92],"trajectory":[7,106],"tracking":[8],"for":[9,22,32],"a":[10,68,102,112],"class":[11],"of":[12,35,90,111,120],"non-linear":[13],"positive":[14],"systems":[15],"is":[16,20,30,59,98],"proposed.":[17],"The":[18,42,95],"scheme":[19],"developed":[21],"MIMO":[23],"(multi-input,":[24],"multi-output)":[25],"affine":[26,84],"systems.":[27],"This":[28],"approach":[29],"adapted":[31],"glycemic":[33],"control":[34,43,93,122],"type":[36],"1":[37],"diabetes":[38],"mellitus":[39],"(T1DM)":[40],"patients.":[41],"law":[44,123],"calculates":[45],"the":[46,74,88,108,118,121],"insulin":[47],"delivery":[48],"rate":[49],"in":[50,124],"order":[51],"to":[52,100],"prevent":[53],"hyperglycemia":[54],"levels.":[55],"A":[56],"neural":[57,64,70,80],"model":[58,81],"obtained":[60],"from":[61],"an":[62,83],"on-line":[63],"identifier,":[65],"which":[66,86],"uses":[67],"recurrent":[69],"network,":[71],"trained":[72],"with":[73],"extended":[75],"Kalman":[76],"filter":[77],"(EKF);":[78],"has":[82],"form,":[85],"permits":[87],"applicability":[89,119],"scheme.":[94],"proposed":[96],"algorithm":[97],"tuned":[99],"follow":[101],"desired":[103],"trajectory;":[104],"reproduces":[107],"glucose":[109],"absorption":[110],"healthy":[113],"person.":[114],"Simulation":[115],"results":[116],"illustrate":[117],"biological":[125],"processes.":[126]},"counts_by_year":[{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}