{"id":"https://openalex.org/W7166875188","doi":"https://doi.org/10.1109/lcsys.2026.3709153","title":"Global Convergence of Control-Based Lagrangian Flows for Non-Convex Optimization","display_name":"Global Convergence of Control-Based Lagrangian Flows for Non-Convex Optimization","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7166875188","doi":"https://doi.org/10.1109/lcsys.2026.3709153"},"language":null,"primary_location":{"id":"doi:10.1109/lcsys.2026.3709153","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2026.3709153","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2605.22486","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030694436","display_name":"S. Pirrera","orcid":"https://orcid.org/0009-0000-8301-9337"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Simone Pirrera","raw_affiliation_strings":["Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino, Italy"],"raw_orcid":"https://orcid.org/0009-0000-8301-9337","affiliations":[{"raw_affiliation_string":"Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008135361","display_name":"Francesco Ripa","orcid":"https://orcid.org/0000-0002-7803-3879"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesco Ripa","raw_affiliation_strings":["Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino, Italy"],"raw_orcid":"https://orcid.org/0009-0007-7127-4809","affiliations":[{"raw_affiliation_string":"Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074286208","display_name":"Daniele Astolfi","orcid":"https://orcid.org/0000-0003-2690-7420"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Lyon 1 Universit\u00e9","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210143168","display_name":"Laboratoire d'Automatique, de G\u00e9nie des Proc\u00e9d\u00e9s et de G\u00e9nie Pharmaceutique","ror":"https://ror.org/03kfjwy31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210143168","https://openalex.org/I59692284"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Daniele Astolfi","raw_affiliation_strings":["CNRS, LAGEPP UMR, Universit&#x00E9; Lyon 1, Villeurbanne, France"],"raw_orcid":"https://orcid.org/0000-0003-2690-7420","affiliations":[{"raw_affiliation_string":"CNRS, LAGEPP UMR, Universit&#x00E9; Lyon 1, Villeurbanne, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210143168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060410182","display_name":"V. Cerone","orcid":"https://orcid.org/0000-0002-5648-2075"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Vito Cerone","raw_affiliation_strings":["Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino, Italy"],"raw_orcid":"https://orcid.org/0000-0002-5648-2075","affiliations":[{"raw_affiliation_string":"Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082948079","display_name":"Sophie M. Fosson","orcid":"https://orcid.org/0000-0003-2316-7404"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sophie M. Fosson","raw_affiliation_strings":["Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino, Italy"],"raw_orcid":"https://orcid.org/0000-0003-2316-7404","affiliations":[{"raw_affiliation_string":"Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027982890","display_name":"D. Regruto","orcid":"https://orcid.org/0000-0002-2144-2786"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Diego Regruto","raw_affiliation_strings":["Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino, Italy"],"raw_orcid":"https://orcid.org/0000-0002-2144-2786","affiliations":[{"raw_affiliation_string":"Dipartimento di Automatica e Informatica, Politecnico di Torino, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.76521902,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":null,"first_page":"1681","last_page":"1686"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.44339999556541443,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.44339999556541443,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.16459999978542328,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.09109999984502792,"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/convergence","display_name":"Convergence (economics)","score":0.6001999974250793},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.3253999948501587},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.32120001316070557},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.2874999940395355},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.28290000557899475},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.26989999413490295}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6001999974250793},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5026999711990356},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4523000121116638},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44999998807907104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3273000121116638},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.3253999948501587},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.32120001316070557},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.2874999940395355},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.28290000557899475},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.26989999413490295},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.2687000036239624},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2660999894142151},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.2639999985694885},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2567000091075897}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lcsys.2026.3709153","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2026.3709153","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"},{"id":"pmh:oai:arXiv.org:2605.22486","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.22486","pdf_url":"https://arxiv.org/pdf/2605.22486","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2605.22486","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.22486","pdf_url":"https://arxiv.org/pdf/2605.22486","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7166875188.pdf","grobid_xml":"https://content.openalex.org/works/W7166875188.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,50,58,63,83],"continuous-time":[4],"dynamics":[5,18],"generated":[6],"by":[7,20,62],"control-theoretic":[8],"Lagrangian":[9],"methods":[10],"for":[11,41,71],"equality-constrained":[12],"optimization.":[13],"In":[14],"particular,":[15],"we":[16,56,66],"consider":[17],"induced":[19,61],"proportional-integral":[21],"and":[22],"feedback":[23],"linearization":[24],"controllers,":[25],"which":[26,44],"have":[27],"recently":[28],"been":[29],"proposed":[30],"as":[31],"alternatives":[32],"to":[33,82],"primal-dual":[34],"gradient":[35],"methods.":[36],"Unlike":[37],"global":[38,68],"convergence":[39,70],"results":[40],"these":[42],"dynamics,":[43],"rely":[45],"on":[46],"strong":[47],"convexity":[48,78],"of":[49],"objective":[51],"function":[52],"or":[53],"boundedness":[54],"assumptions,":[55],"exploit":[57],"geometric":[59],"structure":[60],"constraints.":[64],"Specifically,":[65],"show":[67],"exponential":[69],"non-convex":[72],"problems":[73],"that":[74],"satisfy":[75],"a":[76],"suitable":[77],"property":[79],"when":[80],"restricted":[81],"constraint":[84],"manifold.":[85]},"counts_by_year":[],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2026-07-02T00:00:00"}
