{"id":"https://openalex.org/W2802435856","doi":"https://doi.org/10.1109/iscas.2018.8350958","title":"Some Local Stability Properties of an Autonomous Long Short-Term Memory Neural Network Model","display_name":"Some Local Stability Properties of an Autonomous Long Short-Term Memory Neural Network Model","publication_year":2018,"publication_date":"2018-05-01","ids":{"openalex":"https://openalex.org/W2802435856","doi":"https://doi.org/10.1109/iscas.2018.8350958","mag":"2802435856"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2018.8350958","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2018.8350958","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Circuits and Systems (ISCAS)","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/A5046079000","display_name":"Du\u0161an M. Stipanovi\u0107","orcid":"https://orcid.org/0000-0002-2826-5241"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dusan M. Stipanovic","raw_affiliation_strings":["ISE Department, University of Illinois at Urbana-Champaign, Urbana, Illinois, USA"],"affiliations":[{"raw_affiliation_string":"ISE Department, University of Illinois at Urbana-Champaign, Urbana, Illinois, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029806914","display_name":"Boris Murmann","orcid":"https://orcid.org/0000-0003-3417-8782"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Boris Murmann","raw_affiliation_strings":["Department of Electrical Engineering, Stanford University, Stanford, California, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University, Stanford, California, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042971109","display_name":"Matteo Causo","orcid":null},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I3020098449","display_name":"CEA Grenoble","ror":"https://ror.org/02mg6n827","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I3020098449"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Matteo Causo","raw_affiliation_strings":["CEA, Universit\u00e9 Grenoble Alpes, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"CEA, Universit\u00e9 Grenoble Alpes, Grenoble, France","institution_ids":["https://openalex.org/I899635006","https://openalex.org/I3020098449","https://openalex.org/I2738703131"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073473404","display_name":"Aleksandra Leki\u0107","orcid":"https://orcid.org/0000-0003-2727-0767"},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Aleksandra Lekic","raw_affiliation_strings":["Department of Electronics, University of Belgrade, Belgrade, Serbia"],"affiliations":[{"raw_affiliation_string":"Department of Electronics, University of Belgrade, Belgrade, Serbia","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110509263","display_name":"Vicen\u00e7 R\u00fabies Royo","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vicenc Rubies Royo","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, California, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, California, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045155646","display_name":"Claire J. Tomlin","orcid":"https://orcid.org/0000-0003-3192-3185"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Claire J. Tomlin","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, California, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, California, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089989063","display_name":"\u00c9dith Beign\u00e9","orcid":"https://orcid.org/0000-0001-6350-1054"},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I3020098449","display_name":"CEA Grenoble","ror":"https://ror.org/02mg6n827","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I3020098449"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Edith Beigne","raw_affiliation_strings":["CEA, Universit\u00e9 Grenoble Alpes, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"CEA, Universit\u00e9 Grenoble Alpes, Grenoble, France","institution_ids":["https://openalex.org/I899635006","https://openalex.org/I3020098449","https://openalex.org/I2738703131"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037060249","display_name":"S\u00e9bastien Thuries","orcid":null},"institutions":[{"id":"https://openalex.org/I3020098449","display_name":"CEA Grenoble","ror":"https://ror.org/02mg6n827","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I3020098449"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2738703131"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sebastien Thuries","raw_affiliation_strings":["CEA, Universit\u00e9 Grenoble Alpes, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"CEA, Universit\u00e9 Grenoble Alpes, Grenoble, France","institution_ids":["https://openalex.org/I899635006","https://openalex.org/I3020098449","https://openalex.org/I2738703131"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068779452","display_name":"Mykhailo Zarudniev","orcid":"https://orcid.org/0000-0002-4971-4026"},"institutions":[{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I3020098449","display_name":"CEA Grenoble","ror":"https://ror.org/02mg6n827","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I3020098449"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mykhailo Zarudniev","raw_affiliation_strings":["CEA, Universit\u00e9 Grenoble Alpes, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"CEA, Universit\u00e9 Grenoble Alpes, Grenoble, France","institution_ids":["https://openalex.org/I899635006","https://openalex.org/I3020098449","https://openalex.org/I2738703131"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054058643","display_name":"Suzanne Lesecq","orcid":"https://orcid.org/0000-0003-3238-8081"},"institutions":[{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I3020098449","display_name":"CEA Grenoble","ror":"https://ror.org/02mg6n827","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I3020098449"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Suzanne Lesecq","raw_affiliation_strings":["CEA, Universit\u00e9 Grenoble Alpes, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"CEA, Universit\u00e9 Grenoble Alpes, Grenoble, France","institution_ids":["https://openalex.org/I899635006","https://openalex.org/I3020098449","https://openalex.org/I2738703131"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":10,"corresponding_author_ids":["https://openalex.org/A5046079000"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":1.3031,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.84970262,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9991000294685364,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9983999729156494,"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/linearization","display_name":"Linearization","score":0.7332239151000977},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.7299045920372009},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.7181830406188965},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5753375291824341},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5631349086761475},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5617398619651794},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5432790517807007},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49750712513923645},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4304337501525879},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.42803260684013367},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35072189569473267},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1791343092918396},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13066896796226501},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07522052526473999}],"concepts":[{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.7332239151000977},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7299045920372009},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7181830406188965},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5753375291824341},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5631349086761475},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5617398619651794},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5432790517807007},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49750712513923645},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4304337501525879},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.42803260684013367},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35072189569473267},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1791343092918396},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13066896796226501},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07522052526473999},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/iscas.2018.8350958","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2018.8350958","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Circuits and Systems (ISCAS)","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":16,"referenced_works":["https://openalex.org/W1558736232","https://openalex.org/W1689711448","https://openalex.org/W1765000751","https://openalex.org/W1810943226","https://openalex.org/W1989437841","https://openalex.org/W2057755457","https://openalex.org/W2064675550","https://openalex.org/W2089876099","https://openalex.org/W2157259726","https://openalex.org/W2158773148","https://openalex.org/W2565532197","https://openalex.org/W2752813595","https://openalex.org/W2963015328","https://openalex.org/W3040940214","https://openalex.org/W6731194115","https://openalex.org/W6744262642"],"related_works":["https://openalex.org/W2319969327","https://openalex.org/W42295635","https://openalex.org/W1973996291","https://openalex.org/W2330575325","https://openalex.org/W2163803519","https://openalex.org/W2953137247","https://openalex.org/W3096145648","https://openalex.org/W3197510923","https://openalex.org/W2370579019","https://openalex.org/W3081419012"],"abstract_inverted_index":{"In":[0,23],"this":[1],"paper":[2],"some":[3,80],"local":[4,32,53],"stability":[5,34,54,82],"results":[6],"for":[7,84],"an":[8],"autonomous":[9,62],"Long":[10],"Short-Term":[11],"Memory":[12],"neural":[13,64],"network":[14,65],"model":[15,87],"with":[16,36],"respect":[17,37],"to":[18,38],"the":[19,31,39,46,58,61,67,85],"origin":[20,40],"are":[21,88],"provided.":[22],"particular,":[24],"it":[25],"is":[26],"shown":[27],"through":[28],"linearization":[29],"that":[30,51],"asymptotic":[33],"conditions":[35,55,83],"only":[41],"depend":[42],"on":[43],"one":[44,76],"of":[45,60],"weight":[47],"matrices.":[48],"Simulations":[49],"indicate":[50],"these":[52],"greatly":[56],"influence":[57],"behavior":[59],"four-dimensional":[63],"in":[66],"region":[68],"where":[69],"each":[70],"variable's":[71],"values":[72],"vary":[73],"between":[74],"minus":[75],"and":[77],"one.":[78],"Finally,":[79],"sufficient":[81],"nonlinear":[86],"formulated":[89],"as":[90],"a":[91],"convex":[92],"program":[93],"involving":[94],"linear":[95],"matrix":[96],"inequalities.":[97]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
