{"id":"https://openalex.org/W2132475926","doi":"https://doi.org/10.1109/ijcnn.2010.5596883","title":"Discrete time recurrent neural network sliding mode observer","display_name":"Discrete time recurrent neural network sliding mode observer","publication_year":2010,"publication_date":"2010-07-01","ids":{"openalex":"https://openalex.org/W2132475926","doi":"https://doi.org/10.1109/ijcnn.2010.5596883","mag":"2132475926"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2010.5596883","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2010.5596883","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 2010 International Joint Conference on Neural Networks (IJCNN)","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/A5066144798","display_name":"Iv\u00e1n Salgado","orcid":"https://orcid.org/0000-0002-3854-7031"},"institutions":[{"id":"https://openalex.org/I4210090124","display_name":"Tecnol\u00f3gico Nacional de M\u00e9xico","ror":"https://ror.org/00davry38","country_code":"MX","type":"government","lineage":["https://openalex.org/I1302736544","https://openalex.org/I4210090124","https://openalex.org/I4405258672"]},{"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"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"I. Salgado","raw_affiliation_strings":["Bioprocess Department, Professional Interdisciplinary Unit of Biotechnology, National Polytechnic Institute, México D.F., Mexico","Bioprocess Department, Professional Interdisciplinary Unit of Biotechnology, National Polytechnic Institute, Mexico, D.F., Mexico"],"affiliations":[{"raw_affiliation_string":"Bioprocess Department, Professional Interdisciplinary Unit of Biotechnology, National Polytechnic Institute, México D.F., Mexico","institution_ids":["https://openalex.org/I4210090124"]},{"raw_affiliation_string":"Bioprocess Department, Professional Interdisciplinary Unit of Biotechnology, National Polytechnic Institute, Mexico, D.F., Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079939647","display_name":"Isaac Cha\u00edrez","orcid":"https://orcid.org/0000-0002-7157-2052"},"institutions":[{"id":"https://openalex.org/I4210090124","display_name":"Tecnol\u00f3gico Nacional de M\u00e9xico","ror":"https://ror.org/00davry38","country_code":"MX","type":"government","lineage":["https://openalex.org/I1302736544","https://openalex.org/I4210090124","https://openalex.org/I4405258672"]},{"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"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"I. Chairez","raw_affiliation_strings":["Bioprocess Department, Professional Interdisciplinary Unit of Biotechnology, National Polytechnic Institute, México D.F., Mexico","Bioprocess Department, Professional Interdisciplinary Unit of Biotechnology, National Polytechnic Institute, Mexico, D.F., Mexico"],"affiliations":[{"raw_affiliation_string":"Bioprocess Department, Professional Interdisciplinary Unit of Biotechnology, National Polytechnic Institute, México D.F., Mexico","institution_ids":["https://openalex.org/I4210090124"]},{"raw_affiliation_string":"Bioprocess Department, Professional Interdisciplinary Unit of Biotechnology, National Polytechnic Institute, Mexico, D.F., Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100668758","display_name":"Alejandro Garc\u00eda","orcid":"https://orcid.org/0000-0002-7250-4641"},"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/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":"A. Garc\u00eda","raw_affiliation_strings":["Automatic Control Department, CINVESTAV, National Polytechnic Institute, México D.F., Mexico","Automatic Control Department, CINVESTAV, National Polytechnic Institute, M\u00e9xico D.F., Mexico"],"affiliations":[{"raw_affiliation_string":"Automatic Control Department, CINVESTAV, National Polytechnic Institute, México D.F., Mexico","institution_ids":["https://openalex.org/I68368234"]},{"raw_affiliation_string":"Automatic Control Department, CINVESTAV, National Polytechnic Institute, M\u00e9xico D.F., Mexico","institution_ids":["https://openalex.org/I59361560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066144798"],"corresponding_institution_ids":["https://openalex.org/I4210090124","https://openalex.org/I59361560"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14459432,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9990000128746033,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9990000128746033,"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":0.9937000274658203,"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":0.9929999709129333,"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/control-theory","display_name":"Control theory (sociology)","score":0.7471649050712585},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.7088241577148438},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6794321537017822},{"id":"https://openalex.org/keywords/state-observer","display_name":"State observer","score":0.673913836479187},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5885725617408752},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5789148211479187},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.5779888033866882},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5777822136878967},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5162972807884216},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5038208365440369},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.4728406071662903},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.45007044076919556},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41534990072250366},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2920839190483093},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24305033683776855},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21939337253570557},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1123943030834198}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7471649050712585},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.7088241577148438},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6794321537017822},{"id":"https://openalex.org/C3031470","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State observer","level":3,"score":0.673913836479187},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5885725617408752},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5789148211479187},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.5779888033866882},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5777822136878967},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5162972807884216},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5038208365440369},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.4728406071662903},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.45007044076919556},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41534990072250366},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2920839190483093},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24305033683776855},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21939337253570557},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1123943030834198},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ijcnn.2010.5596883","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2010.5596883","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 2010 International Joint Conference on Neural Networks (IJCNN)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6200000047683716,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W630356209","https://openalex.org/W1516289514","https://openalex.org/W1990289090","https://openalex.org/W1991545335","https://openalex.org/W2042034944","https://openalex.org/W2055316549","https://openalex.org/W2119883853","https://openalex.org/W2124776405","https://openalex.org/W2138484437","https://openalex.org/W2166038988","https://openalex.org/W2170264588","https://openalex.org/W2279527887","https://openalex.org/W2486274528","https://openalex.org/W4244977694"],"related_works":["https://openalex.org/W3123253234","https://openalex.org/W2386766233","https://openalex.org/W1965449281","https://openalex.org/W2172163927","https://openalex.org/W2382591036","https://openalex.org/W1665280361","https://openalex.org/W2375429440","https://openalex.org/W1505280828","https://openalex.org/W3203301860","https://openalex.org/W2351775258"],"abstract_inverted_index":{"State":[0],"estimation":[1,88,165],"for":[2,67,147],"uncertain":[3],"systems":[4,70],"affected":[5],"by":[6],"external":[7],"noises":[8],"is":[9,35,41,94,127,158],"an":[10,137],"important":[11],"problem":[12,23,48],"in":[13,152,163],"control":[14,85],"theory.":[15],"This":[16,107,141,183],"paper":[17],"deals":[18],"with":[19],"the":[20,25,45,56,60,101,114,118,144,148,153,161,164,171,189,194],"state":[21,46,87],"observation":[22,47],"when":[24],"dynamic":[26],"model":[27,169,184],"of":[28,49,55,103,166],"a":[29,96,104,110,131,167],"discrete":[30,50],"plant":[31],"contains":[32,136],"uncertainties":[33],"or":[34],"partially":[36],"unknown.":[37],"The":[38,72,123],"suggested":[39],"observer":[40,99,108],"oriented":[42],"to":[43,81,129,187,192],"solve":[44],"time":[51,69],"nonlinear":[52],"systems.":[53],"Most":[54],"existing":[57],"results":[58],"using":[59,100,113,160,191],"neural":[61,74],"networks":[62],"approach":[63],"have":[64,77],"been":[65],"developed":[66],"continuous":[68],"using.":[71],"recurrent":[73],"network":[75],"(RNN)":[76],"shown":[78],"several":[79],"advantages":[80],"treat":[82],"many":[83],"different":[84],"and":[86,117,180],"problems.":[89],"In":[90],"this":[91],"paper,":[92],"it":[93],"presented":[95],"new":[97,132],"discrete-time":[98],"structure":[102],"classical":[105],"RNN.":[106],"includes":[109,175],"correction":[111],"term":[112],"output":[115],"information":[116],"first":[119],"order":[120],"sliding":[121],"modes.":[122],"second":[124],"method":[125],"Lyapunov":[126],"applied":[128],"generate":[130],"learning":[133],"law,":[134],"that":[135,174],"adaptive":[138],"adjustment":[139],"rate.":[140],"study":[142],"proofs":[143],"stability":[145],"condition":[146],"free":[149,181],"parameters":[150],"included":[151],"neural-observer.":[154],"A":[155],"numerical":[156],"example":[157],"given":[159],"RNN":[162],"mathematical":[168],"describing":[170],"HIV":[172],"infection,":[173],"non-infected":[176],"cells,":[177],"infected":[178],"cells":[179],"virions.":[182],"was":[185],"used":[186],"generated":[188],"data":[190],"test":[193],"observer.":[195]},"counts_by_year":[],"updated_date":"2026-04-02T13:48:15.688549","created_date":"2025-10-10T00:00:00"}