{"id":"https://openalex.org/W2903235569","doi":"https://doi.org/10.1007/s10957-018-1447-6","title":"Global Asymptotic Stability and Stabilization of Long Short-Term Memory Neural Networks with Constant Weights and Biases","display_name":"Global Asymptotic Stability and Stabilization of Long Short-Term Memory Neural Networks with Constant Weights and Biases","publication_year":2018,"publication_date":"2018-11-26","ids":{"openalex":"https://openalex.org/W2903235569","doi":"https://doi.org/10.1007/s10957-018-1447-6","mag":"2903235569"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-018-1447-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-1447-6","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-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/A5031110203","display_name":"Shankar A. Deka","orcid":"https://orcid.org/0000-0003-0416-3846"},"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":"Shankar A. Deka","raw_affiliation_strings":["Coordinated Science Laboratory, and MechSE Department, University of Illinois at Urbana-Champaign, Urbana, IL, USA","Coordinated Science Laboratory, and MechSE Department, University of Illinois at Urbana-Champaign, Urbana, USA"],"raw_orcid":"https://orcid.org/0000-0003-0416-3846","affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, and MechSE Department, University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Coordinated Science Laboratory, and MechSE Department, University of Illinois at Urbana-Champaign, Urbana, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","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":"Du\u0161an M. Stipanovi\u0107","raw_affiliation_strings":["Coordinated Science Laboratory, and MechSE Department, University of Illinois at Urbana-Champaign, Urbana, IL, USA","Coordinated Science Laboratory, and MechSE Department, University of Illinois at Urbana-Champaign, Urbana, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, and MechSE Department, University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Coordinated Science Laboratory, and MechSE Department, University of Illinois at Urbana-Champaign, Urbana, 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":true,"raw_author_name":"Boris Murmann","raw_affiliation_strings":["Electrical Engineering Department, Stanford University, Stanford, CA, USA","Electrical Engineering Department, Stanford University, Stanford, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Electrical Engineering Department, Stanford University, Stanford, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","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":true,"raw_author_name":"Claire J. Tomlin","raw_affiliation_strings":["EECS Department, University of California, Berkeley, CA, USA","EECS Department, University of California, Berkeley, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EECS Department, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"EECS Department, University of California, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5029806914","https://openalex.org/A5031110203","https://openalex.org/A5045155646","https://openalex.org/A5046079000"],"corresponding_institution_ids":["https://openalex.org/I157725225","https://openalex.org/I95457486","https://openalex.org/I97018004"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9882,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.79818504,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"181","issue":"1","first_page":"231","last_page":"243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9997000098228455,"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/T10320","display_name":"Neural Networks and Applications","score":0.9995999932289124,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9987000226974487,"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/theory-of-computation","display_name":"Theory of computation","score":0.852696418762207},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7423089742660522},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.7408565878868103},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.6650556325912476},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6411417722702026},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6323710680007935},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5268553495407104},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4986124038696289},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.449345201253891},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.35520920157432556},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3504287600517273},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16992565989494324},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16635099053382874},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1313212811946869},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07534059882164001}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.852696418762207},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7423089742660522},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7408565878868103},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.6650556325912476},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6411417722702026},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6323710680007935},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5268553495407104},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4986124038696289},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.449345201253891},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.35520920157432556},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3504287600517273},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16992565989494324},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16635099053382874},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1313212811946869},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07534059882164001},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-018-1447-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-1447-6","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:181:y:2019:i:1:d:10.1007_s10957-018-1447-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-018-1447-6","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.7099999785423279}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1558736232","https://openalex.org/W1580992231","https://openalex.org/W1689711448","https://openalex.org/W1765000751","https://openalex.org/W1810943226","https://openalex.org/W1963942310","https://openalex.org/W1978561325","https://openalex.org/W2057755457","https://openalex.org/W2058935279","https://openalex.org/W2064675550","https://openalex.org/W2089876099","https://openalex.org/W2610857016","https://openalex.org/W2802435856","https://openalex.org/W4213122800","https://openalex.org/W4296942791"],"related_works":["https://openalex.org/W2001283893","https://openalex.org/W2074717584","https://openalex.org/W4300989278","https://openalex.org/W4285551356","https://openalex.org/W327603423","https://openalex.org/W4246323976","https://openalex.org/W2392484840","https://openalex.org/W2050773296","https://openalex.org/W3042530036","https://openalex.org/W1991919211"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}