{"id":"https://openalex.org/W3199207211","doi":"https://doi.org/10.23919/acc53348.2022.9867715","title":"Optimal Control of Velocity and Nonlocal Interactions in the Mean-Field Kuramoto Model","display_name":"Optimal Control of Velocity and Nonlocal Interactions in the Mean-Field Kuramoto Model","publication_year":2022,"publication_date":"2022-06-08","ids":{"openalex":"https://openalex.org/W3199207211","doi":"https://doi.org/10.23919/acc53348.2022.9867715","mag":"3199207211"},"language":"en","primary_location":{"id":"doi:10.23919/acc53348.2022.9867715","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc53348.2022.9867715","pdf_url":null,"source":{"id":"https://openalex.org/S4363607732","display_name":"2022 American Control Conference (ACC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 American Control Conference (ACC)","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/A5077486119","display_name":"Carlo Sinigaglia","orcid":"https://orcid.org/0000-0002-5433-5004"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Carlo Sinigaglia","raw_affiliation_strings":["Politecnico di Milano,Department of Mechanical Engineering,Milano,Italy,20156"],"affiliations":[{"raw_affiliation_string":"Politecnico di Milano,Department of Mechanical Engineering,Milano,Italy,20156","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050750282","display_name":"Francesco Braghin","orcid":"https://orcid.org/0000-0002-0476-4118"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesco Braghin","raw_affiliation_strings":["Politecnico di Milano,Department of Mechanical Engineering,Milano,Italy,20156"],"affiliations":[{"raw_affiliation_string":"Politecnico di Milano,Department of Mechanical Engineering,Milano,Italy,20156","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076142872","display_name":"Spring Berman","orcid":"https://orcid.org/0000-0001-9239-0509"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Spring Berman","raw_affiliation_strings":["School for Engineering of Matter,Transport and Energy, ASU,Tempe,AZ,85287"],"affiliations":[{"raw_affiliation_string":"School for Engineering of Matter,Transport and Energy, ASU,Tempe,AZ,85287","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077486119"],"corresponding_institution_ids":["https://openalex.org/I93860229"],"apc_list":null,"apc_paid":null,"fwci":1.5119,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.7993604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"290","last_page":"295"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":1.0,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":1.0,"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/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9449999928474426,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kuramoto-model","display_name":"Kuramoto model","score":0.7869139909744263},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5540807843208313},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5378721356391907},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47141051292419434},{"id":"https://openalex.org/keywords/mean-field-theory","display_name":"Mean field theory","score":0.44987738132476807},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4494178891181946},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43698006868362427},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.4170927107334137},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.41113927960395813},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.36553943157196045},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3056052625179291},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2943459153175354},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2715068459510803},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2030823826789856},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.14705589413642883}],"concepts":[{"id":"https://openalex.org/C2780042749","wikidata":"https://www.wikidata.org/wiki/Q604374","display_name":"Kuramoto model","level":4,"score":0.7869139909744263},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5540807843208313},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5378721356391907},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47141051292419434},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.44987738132476807},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4494178891181946},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43698006868362427},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.4170927107334137},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.41113927960395813},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.36553943157196045},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3056052625179291},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2943459153175354},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2715068459510803},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2030823826789856},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.14705589413642883},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/acc53348.2022.9867715","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc53348.2022.9867715","pdf_url":null,"source":{"id":"https://openalex.org/S4363607732","display_name":"2022 American Control Conference (ACC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 American Control Conference (ACC)","raw_type":"proceedings-article"},{"id":"pmh:oai:re.public.polimi.it:11311/1233385","is_oa":false,"landing_page_url":"https://hdl.handle.net/11311/1233385","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.6499999761581421}],"awards":[],"funders":[{"id":"https://openalex.org/F4320311649","display_name":"Ministry of Education","ror":"https://ror.org/036nq5137"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W111157985","https://openalex.org/W1820125862","https://openalex.org/W1976149214","https://openalex.org/W2015410655","https://openalex.org/W2033770904","https://openalex.org/W2090252028","https://openalex.org/W2253915289","https://openalex.org/W2351044457","https://openalex.org/W2488897645","https://openalex.org/W2944878488","https://openalex.org/W2963087838","https://openalex.org/W2963298586","https://openalex.org/W2978236721","https://openalex.org/W3021722416","https://openalex.org/W3071158295","https://openalex.org/W3101826276","https://openalex.org/W3151684234","https://openalex.org/W3154396532","https://openalex.org/W3156651120","https://openalex.org/W3194468394","https://openalex.org/W4301711873","https://openalex.org/W6794451059","https://openalex.org/W6800382159"],"related_works":["https://openalex.org/W3118528670","https://openalex.org/W3114806004","https://openalex.org/W2969606317","https://openalex.org/W2143532446","https://openalex.org/W2779693104","https://openalex.org/W3128285507","https://openalex.org/W4226278607","https://openalex.org/W2908865648","https://openalex.org/W3104698108","https://openalex.org/W4308326803"],"abstract_inverted_index":{"In":[0,28,65],"this":[1,66],"paper,":[2],"we":[3,69],"investigate":[4],"how":[5],"the":[6,29,37,41,51,58,62,78,81,103,119,125,148,153,184,188,194,221],"self-synchronization":[7],"property":[8,151],"of":[9,12,31,35,40,53,80,105,152,164,220],"a":[10,47,54,90,98,113,130,162,173,180,201],"swarm":[11],"Kuramoto":[13],"oscillators":[14],"can":[15],"be":[16],"controlled":[17,135],"and":[18,24,97,110,137,156,193,205],"exploited":[19],"to":[20,76,89,118],"achieve":[21],"target":[22,25],"densities":[23],"phase":[26],"coherence.":[27],"limit":[30],"an":[32,83,206],"infinite":[33],"number":[34],"oscillators,":[36],"collective":[38],"dynamics":[39,186],"agents\u2019":[42],"density":[43,79,126],"is":[44,170,197],"described":[45],"by":[46],"mean-field":[48,67,154],"model":[49,155],"in":[50,225],"form":[52],"nonlocal":[55,121,160,181,190],"PDE,":[56],"where":[57],"nonlocality":[59],"arises":[60],"from":[61],"synchronization":[63,136],"mechanism.":[64],"setting,":[68],"introduce":[70],"two":[71,222],"space-time":[72],"dependent":[73],"control":[74,99,115,223],"inputs":[75,224],"affect":[77],"oscillators:":[82],"angular":[84],"velocity":[85],"field":[86],"that":[87,101],"corresponds":[88],"state":[91,185],"feedback":[92],"law":[93],"for":[94,168,183,218],"individual":[95],"agents,":[96],"parameter":[100],"modulates":[102],"strength":[104],"agent":[106],"interactions":[107],"over":[108],"space":[109],"time,":[111],"i.e.,":[112],"multiplicative":[114],"with":[116,141],"respect":[117],"integral":[120],"term.":[122],"We":[123,214],"frame":[124],"tracking":[127],"problem":[128],"as":[129],"PDE-constrained":[131],"optimization":[132],"problem.":[133],"The":[134,176],"phase-locking":[138],"are":[139],"measured":[140],"classical":[142],"polar":[143],"order":[144],"metrics.":[145],"After":[146],"establishing":[147],"mass":[149],"conservation":[150],"bounds":[157],"on":[158,211],"its":[159],"term,":[161],"system":[163],"first-order":[165],"necessary":[166],"conditions":[167],"optimality":[169,177],"recovered":[171],"using":[172],"Lagrangian":[174],"method.":[175],"system,":[178],"comprising":[179],"PDE":[182],"equation,":[187,196],"respective":[189],"adjoint":[191],"dynamics,":[192],"Euler":[195],"solved":[198],"iteratively":[199],"following":[200],"standard":[202],"Optimize-then-Discretize":[203],"approach":[204,217],"efficient":[207],"numerical":[208],"solver":[209],"based":[210],"spectral":[212],"methods.":[213],"demonstrate":[215],"our":[216],"each":[219],"simulation.":[226]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
