{"id":"https://openalex.org/W2096092852","doi":"https://doi.org/10.1109/isic.2002.1157804","title":"Stabilization of stochastic recurrent neural networks","display_name":"Stabilization of stochastic recurrent neural networks","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W2096092852","doi":"https://doi.org/10.1109/isic.2002.1157804","mag":"2096092852"},"language":"en","primary_location":{"id":"doi:10.1109/isic.2002.1157804","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isic.2002.1157804","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the IEEE Internatinal Symposium on Intelligent Control","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/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":"E.N. Sanchez","raw_affiliation_strings":["Unidad Guadalajara, CINVESTAV, Jalisco, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Unidad Guadalajara, CINVESTAV, Jalisco, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058495619","display_name":"Jos\u00e9 P. P\u00e9rez","orcid":"https://orcid.org/0000-0002-6746-4702"},"institutions":[{"id":"https://openalex.org/I169046204","display_name":"Universidad Aut\u00f3noma de Nuevo Le\u00f3n","ror":"https://ror.org/01fh86n78","country_code":"MX","type":"education","lineage":["https://openalex.org/I169046204"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"J.P. Perez","raw_affiliation_strings":["Unidad Guadalajara, Universidad Autonoma de Nuevo Leon, Monterrey, Nuevo Leon, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Unidad Guadalajara, Universidad Autonoma de Nuevo Leon, Monterrey, Nuevo Leon, Mexico","institution_ids":["https://openalex.org/I169046204"]}]}],"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":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"46","issue":null,"first_page":"445","last_page":"447"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12676","display_name":"Machine Learning and ELM","score":0.9939000010490417,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.7559849619865417},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6858906745910645},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6827579736709595},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6330115795135498},{"id":"https://openalex.org/keywords/stochastic-neural-network","display_name":"Stochastic neural network","score":0.6274441480636597},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5772591829299927},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5598968863487244},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5493580102920532},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5331622362136841},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.5094087719917297},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.493307501077652},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.4859694242477417},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4517596662044525},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.44406017661094666},{"id":"https://openalex.org/keywords/stochastic-resonance","display_name":"Stochastic resonance","score":0.4380556643009186},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4120284914970398},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32197341322898865},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2677081525325775},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22143423557281494},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16171422600746155},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07627642154693604},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07400968670845032}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7559849619865417},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6858906745910645},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6827579736709595},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6330115795135498},{"id":"https://openalex.org/C86582703","wikidata":"https://www.wikidata.org/wiki/Q7617824","display_name":"Stochastic neural network","level":4,"score":0.6274441480636597},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5772591829299927},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5598968863487244},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5493580102920532},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5331622362136841},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.5094087719917297},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.493307501077652},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.4859694242477417},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4517596662044525},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.44406017661094666},{"id":"https://openalex.org/C207658827","wikidata":"https://www.wikidata.org/wiki/Q1999781","display_name":"Stochastic resonance","level":4,"score":0.4380556643009186},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4120284914970398},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32197341322898865},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2677081525325775},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22143423557281494},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16171422600746155},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07627642154693604},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07400968670845032},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isic.2002.1157804","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isic.2002.1157804","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the IEEE Internatinal Symposium on Intelligent Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.75}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2036270456","https://openalex.org/W2087831875","https://openalex.org/W2103074333","https://openalex.org/W2112246162","https://openalex.org/W2112576769","https://openalex.org/W2126451292","https://openalex.org/W2134331318","https://openalex.org/W2144154947","https://openalex.org/W2157775351","https://openalex.org/W2797412883"],"related_works":["https://openalex.org/W3143465902","https://openalex.org/W2378015512","https://openalex.org/W2074410774","https://openalex.org/W1586295832","https://openalex.org/W3209963189","https://openalex.org/W4285200761","https://openalex.org/W2380389574","https://openalex.org/W4319236804","https://openalex.org/W2101062810","https://openalex.org/W2067883075"],"abstract_inverted_index":{"The":[0,44],"paper":[1],"presents":[2],"the":[3,32,47],"stabilization":[4,16],"of":[5,46],"a":[6,20],"dynamic":[7],"neural":[8,33],"network":[9,34],"disturbed":[10],"by":[11,53],"additive":[12],"Gaussian":[13],"noise.":[14],"This":[15],"is":[17,27,51],"achieved":[18],"using":[19],"quadratic":[21],"Lyapunov":[22],"function.":[23],"A":[24],"control":[25,49],"law":[26,50],"derived,":[28],"which":[29],"ensures":[30],"that":[31],"state":[35],"becomes":[36],"globally":[37],"uniform":[38],"ultimately":[39],"bounded":[40],"(GUUB)":[41],"in":[42],"probability.":[43],"applicability":[45],"proposed":[48],"illustrated":[52],"an":[54],"example.":[55]},"counts_by_year":[{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
