{"id":"https://openalex.org/W7105839931","doi":"https://doi.org/10.1109/lcsys.2025.3633320","title":"On the Instability of Nesterov\u2019s ODE Under Non-Conservative Vector Fields","display_name":"On the Instability of Nesterov\u2019s ODE Under Non-Conservative Vector Fields","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W7105839931","doi":"https://doi.org/10.1109/lcsys.2025.3633320"},"language":null,"primary_location":{"id":"doi:10.1109/lcsys.2025.3633320","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2025.3633320","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","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":null,"display_name":"Daniel E. Ochoa","orcid":"https://orcid.org/0000-0002-5442-1105"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daniel E. Ochoa","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California at Santa Cruz, Santa Cruz, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California at Santa Cruz, Santa Cruz, CA, USA","institution_ids":["https://openalex.org/I185103710"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Mahmoud Abdelgalil","orcid":"https://orcid.org/0000-0003-1932-5115"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mahmoud Abdelgalil","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California at San Diego, La Jolla, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California at San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jorge I. Poveda","orcid":"https://orcid.org/0000-0002-7143-6333"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jorge I. Poveda","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California at San Diego, La Jolla, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California at San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I185103710"],"apc_list":null,"apc_paid":null,"fwci":0.767,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.78902589,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"9","issue":null,"first_page":"2639","last_page":"2644"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9045000076293945,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9045000076293945,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.017000000923871994,"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/T11486","display_name":"Micro and Nano Robotics","score":0.01080000028014183,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/ode","display_name":"Ode","score":0.8934999704360962},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.7552000284194946},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6578999757766724},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.5764999985694885},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4948999881744385},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.48730000853538513},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4348999857902527}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.8934999704360962},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.7552000284194946},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6578999757766724},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5997999906539917},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.5764999985694885},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4948999881744385},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49129998683929443},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.48730000853538513},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4348999857902527},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.42879998683929443},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4242999851703644},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4050000011920929},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.34369999170303345},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.33660000562667847},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.32249999046325684},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.26930001378059387},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.2563999891281128},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.25200000405311584}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2025.3633320","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2025.3633320","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G48620409","display_name":null,"funder_award_id":"FA9550-22-1-0211","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W2024463343","https://openalex.org/W2074257552","https://openalex.org/W2164642931","https://openalex.org/W2171133852","https://openalex.org/W3012135605","https://openalex.org/W3012308101","https://openalex.org/W3181590451","https://openalex.org/W3205273173","https://openalex.org/W4229706427","https://openalex.org/W4255043376","https://openalex.org/W4292402580","https://openalex.org/W4321483416","https://openalex.org/W4402696601","https://openalex.org/W7105839931"],"related_works":[],"abstract_inverted_index":{"We":[0],"study":[1,57],"the":[2,11,17,40,53,73,78,99],"instability":[3,54],"of":[4,19,42,80],"Nesterov\u2019s":[5,27],"ODE":[6,28],"in":[7],"non-conservative":[8,45],"settings,":[9],"where":[10],"driving":[12,35,100],"term":[13],"is":[14],"not":[15],"necessarily":[16],"gradient":[18],"a":[20,58,81],"potential":[21],"function.":[22],"While":[23],"convergence":[24,90],"properties":[25,97],"under":[26,92],"are":[29],"well-characterized":[30],"for":[31],"settings":[32],"with":[33],"gradient-based":[34],"terms,":[36],"we":[37,56,67],"show":[38],"that":[39,76],"presence":[41],"arbitrarily":[43],"small":[44],"terms":[46],"can":[47],"lead":[48],"to":[49],"instability.":[50],"To":[51],"resolve":[52],"issue,":[55],"regularization":[59],"mechanism":[60],"based":[61],"on":[62,72,98],"restarting.":[63],"For":[64],"this":[65],"mechanism,":[66],"establish":[68],"novel":[69],"explicit":[70],"bounds":[71],"resetting":[74],"period":[75],"ensure":[77],"decrease":[79],"suitable":[82,93],"Lyapunov":[83],"function,":[84],"thereby":[85],"guaranteeing":[86],"stability":[87],"and":[88,95],"\u201caccelerated\u201d":[89],"rates":[91],"smoothness":[94],"monotonicity":[96],"term.":[101],"Numerical":[102],"simulations":[103],"support":[104],"our":[105],"results.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-11-17T00:00:00"}
