{"id":"https://openalex.org/W2011144635","doi":"https://doi.org/10.1155/2012/529176","title":"System Identification Using Multilayer Differential Neural Networks: A New Result","display_name":"System Identification Using Multilayer Differential Neural Networks: A New Result","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2011144635","doi":"https://doi.org/10.1155/2012/529176","mag":"2011144635"},"language":"en","primary_location":{"id":"doi:10.1155/2012/529176","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/529176","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/529176.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/529176.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056875114","display_name":"J. Humberto P\u00e9rez-Cruz","orcid":"https://orcid.org/0000-0002-2049-2116"},"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":true,"raw_author_name":"J. Humberto P\u00e9rez-Cruz","raw_affiliation_strings":["Universidad De Guadalajara"],"affiliations":[{"raw_affiliation_string":"Universidad De Guadalajara","institution_ids":["https://openalex.org/I193181351"]}]},{"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":"A. Y. Alanis","raw_affiliation_strings":["Centro Universitario de Ciencias Exactas e Ingenieras, Universidad de Guadalajara, Boulevard Marcelino Garca Barragn No. 1421, 44430 Guadalajara, JAL, Mexico","Universidad De Guadalajara"],"affiliations":[{"raw_affiliation_string":"Centro Universitario de Ciencias Exactas e Ingenieras, Universidad de Guadalajara, Boulevard Marcelino Garca Barragn No. 1421, 44430 Guadalajara, JAL, Mexico","institution_ids":["https://openalex.org/I193181351"]},{"raw_affiliation_string":"Universidad De Guadalajara","institution_ids":["https://openalex.org/I193181351"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045107243","display_name":"Jos\u00e9 de Jes\u00fas Rubio","orcid":"https://orcid.org/0000-0002-2005-5979"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jos\u00e9 de Jes\u00fas Rubio","raw_affiliation_strings":["Tecnolog\u00eda de la instrumentaci\u00f3n (SNI 2)"],"affiliations":[{"raw_affiliation_string":"Tecnolog\u00eda de la instrumentaci\u00f3n (SNI 2)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070781237","display_name":"Jaime Pacheco","orcid":"https://orcid.org/0000-0002-2377-1639"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]},{"id":"https://openalex.org/I69181431","display_name":"Universidad de las Am\u00e9ricas Puebla","ror":"https://ror.org/01s1km724","country_code":"MX","type":"education","lineage":["https://openalex.org/I69181431"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jaime Pacheco","raw_affiliation_strings":["Seccin de Estudios de Posgrado e Investigacin, ESIME-UA, IPN, Avenida de las Granjas No. 682, 02250 Santa Catarina, NL, Mexico","[Instituto Polit\u00e9cnico Nacional]"],"affiliations":[{"raw_affiliation_string":"Seccin de Estudios de Posgrado e Investigacin, ESIME-UA, IPN, Avenida de las Granjas No. 682, 02250 Santa Catarina, NL, Mexico","institution_ids":["https://openalex.org/I59361560","https://openalex.org/I69181431"]},{"raw_affiliation_string":"[Instituto Polit\u00e9cnico Nacional]","institution_ids":["https://openalex.org/I59361560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5056875114"],"corresponding_institution_ids":["https://openalex.org/I193181351"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":3.9791,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.93545341,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998000264167786,"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/T11236","display_name":"Control Systems and Identification","score":0.9994999766349792,"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":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dead-zone","display_name":"Dead zone","score":0.7689049243927002},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6953654885292053},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6657857894897461},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6649436950683594},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6354515552520752},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6287994980812073},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.5839755535125732},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5560944676399231},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5505063533782959},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.541889488697052},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5140513181686401},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5083217024803162},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4696615934371948},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3952675461769104},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3769819140434265},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2173946499824524},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12692058086395264},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11512872576713562},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07545167207717896}],"concepts":[{"id":"https://openalex.org/C63840607","wikidata":"https://www.wikidata.org/wiki/Q1236263","display_name":"Dead zone","level":2,"score":0.7689049243927002},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6953654885292053},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6657857894897461},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6649436950683594},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6354515552520752},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6287994980812073},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.5839755535125732},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5560944676399231},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5505063533782959},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.541889488697052},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5140513181686401},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5083217024803162},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4696615934371948},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3952675461769104},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3769819140434265},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2173946499824524},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12692058086395264},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11512872576713562},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07545167207717896},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/529176","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/529176","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/529176.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1355495106","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1355495106","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:529176","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/529176.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:3e7d933b042c4cc493cc103e6b4cdb52","is_oa":true,"landing_page_url":"https://doaj.org/article/3e7d933b042c4cc493cc103e6b4cdb52","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/529176","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/529176","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/529176.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7599999904632568,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2011144635.pdf","grobid_xml":"https://content.openalex.org/works/W2011144635.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1162378864","https://openalex.org/W1490488263","https://openalex.org/W1517236425","https://openalex.org/W1535260033","https://openalex.org/W1965324089","https://openalex.org/W1969705022","https://openalex.org/W1981101764","https://openalex.org/W1988878180","https://openalex.org/W2002011878","https://openalex.org/W2002357820","https://openalex.org/W2018869705","https://openalex.org/W2020875858","https://openalex.org/W2027674322","https://openalex.org/W2030141824","https://openalex.org/W2035729910","https://openalex.org/W2040135606","https://openalex.org/W2041139350","https://openalex.org/W2053813583","https://openalex.org/W2066442207","https://openalex.org/W2085165200","https://openalex.org/W2097819153","https://openalex.org/W2103496339","https://openalex.org/W2113442785","https://openalex.org/W2113756475","https://openalex.org/W2117144478","https://openalex.org/W2123844126","https://openalex.org/W2124776405","https://openalex.org/W2127283736","https://openalex.org/W2135582142","https://openalex.org/W2137983211","https://openalex.org/W2138484437","https://openalex.org/W2146014298","https://openalex.org/W2149496659","https://openalex.org/W2164828040","https://openalex.org/W3146803896","https://openalex.org/W4238586295","https://openalex.org/W4240691156"],"related_works":["https://openalex.org/W2141074708","https://openalex.org/W2387106869","https://openalex.org/W2047025451","https://openalex.org/W4388311650","https://openalex.org/W2166984559","https://openalex.org/W1974056099","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W563589758","https://openalex.org/W2050200476"],"abstract_inverted_index":{"In":[0,33],"previous":[1],"works,":[2],"a":[3,7,22,43,75,78,92,96,114],"learning":[4,37],"law":[5,38],"with":[6],"dead":[8],"zone":[9,103],"function":[10,61],"was":[11],"developed":[12],"for":[13,29,98],"multilayer":[14],"differential":[15],"neural":[16],"networks.":[17],"This":[18],"scheme":[19],"requires":[20],"strictly":[21],"priori":[23],"knowledge":[24],"of":[25,69,87,101,108],"an":[26],"upper":[27,99],"bound":[28,100],"the":[30,36,53,59,67,84,88],"unmodeled":[31],"dynamics.":[32],"this":[34,46,51,70,109],"paper,":[35],"is":[39,48,56,62,81,104,111],"modified":[40],"in":[41],"such":[42,102],"way":[44],"that":[45],"condition":[47],"relaxed.":[49],"By":[50],"modification,":[52],"tuning":[54],"process":[55],"simpler":[57],"and":[58,72],"dead\u2010zone":[60],"not":[63],"required":[64],"anymore.":[65],"On":[66],"basis":[68],"modification":[71],"by":[73,113],"using":[74],"Lyapunov\u2010like":[76],"analysis,":[77],"stronger":[79],"result":[80],"here":[82],"demonstrated:":[83],"exponential":[85],"convergence":[86],"identification":[89],"error":[90],"to":[91],"bounded":[93],"zone.":[94],"Besides,":[95],"value":[97],"provided.":[105],"The":[106],"workability":[107],"approach":[110],"tested":[112],"simulation":[115],"example.":[116]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2016-06-24T00:00:00"}