{"id":"https://openalex.org/W2018222071","doi":"https://doi.org/10.1109/tac.2015.2418400","title":"Synchronization of Identical Oscillators Coupled Through a Symmetric Network With Dynamics: A Constructive Approach With Applications to Parallel Operation of Inverters","display_name":"Synchronization of Identical Oscillators Coupled Through a Symmetric Network With Dynamics: A Constructive Approach With Applications to Parallel Operation of Inverters","publication_year":2015,"publication_date":"2015-04-01","ids":{"openalex":"https://openalex.org/W2018222071","doi":"https://doi.org/10.1109/tac.2015.2418400","mag":"2018222071"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2015.2418400","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2418400","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Transactions on Automatic Control","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/A5017606612","display_name":"Leonardo A. B. T\u00f4rres","orcid":"https://orcid.org/0000-0003-3039-6547"},"institutions":[{"id":"https://openalex.org/I3018999404","display_name":"Centro Universit\u00e1rio de Belo Horizonte","ror":"https://ror.org/04m3xd186","country_code":"BR","type":"education","lineage":["https://openalex.org/I3018999404"]},{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Leonardo A. B. Torres","raw_affiliation_strings":["Department of Electronic Engineering, Universidade Federal deMinas Gerais, Belo Horizonte, CEP, Brazil","Dept. of Electron. Eng., Univ. Fed. de Minas Gerais, Belo Horizonte, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Universidade Federal deMinas Gerais, Belo Horizonte, CEP, Brazil","institution_ids":["https://openalex.org/I110200422"]},{"raw_affiliation_string":"Dept. of Electron. Eng., Univ. Fed. de Minas Gerais, Belo Horizonte, Brazil","institution_ids":["https://openalex.org/I3018999404"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065218317","display_name":"Jo\u00e3o P. Hespanha","orcid":"https://orcid.org/0000-0003-2809-4718"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]},{"id":"https://openalex.org/I4210140143","display_name":"Dynamic Systems (United States)","ror":"https://ror.org/043vm9914","country_code":"US","type":"company","lineage":["https://openalex.org/I4210140143"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joao P. Hespanha","raw_affiliation_strings":["Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, CA, USA","Center for Control, Dynamical Syst., & Comput., Univ. of California, Santa Barbara, Santa Barbara, CA, USA"],"affiliations":[{"raw_affiliation_string":"Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I4210140143","https://openalex.org/I154570441"]},{"raw_affiliation_string":"Center for Control, Dynamical Syst., & Comput., Univ. of California, Santa Barbara, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077998932","display_name":"Jeff Moehlis","orcid":"https://orcid.org/0000-0002-9985-588X"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]},{"id":"https://openalex.org/I4210140143","display_name":"Dynamic Systems (United States)","ror":"https://ror.org/043vm9914","country_code":"US","type":"company","lineage":["https://openalex.org/I4210140143"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeff Moehlis","raw_affiliation_strings":["Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, CA, USA","Center for Control, Dynamical Syst., & Comput., Univ. of California, Santa Barbara, Santa Barbara, CA, USA"],"affiliations":[{"raw_affiliation_string":"Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I4210140143","https://openalex.org/I154570441"]},{"raw_affiliation_string":"Center for Control, Dynamical Syst., & Comput., Univ. of California, Santa Barbara, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017606612"],"corresponding_institution_ids":["https://openalex.org/I110200422","https://openalex.org/I3018999404"],"apc_list":null,"apc_paid":null,"fwci":8.9861,"has_fulltext":false,"cited_by_count":80,"citation_normalized_percentile":{"value":0.98015842,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"60","issue":"12","first_page":"3226","last_page":"3241"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9995999932289124,"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":0.9995999932289124,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9902999997138977,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.7921838164329529},{"id":"https://openalex.org/keywords/synchronizing","display_name":"Synchronizing","score":0.748289942741394},{"id":"https://openalex.org/keywords/passivity","display_name":"Passivity","score":0.7244976758956909},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7127561569213867},{"id":"https://openalex.org/keywords/synchronization-networks","display_name":"Synchronization networks","score":0.6916649341583252},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6260683536529541},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.6109575033187866},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5453802943229675},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4692903459072113},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.46153318881988525},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42118072509765625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37666141986846924},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2774580717086792},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10090750455856323},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09477925300598145}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7921838164329529},{"id":"https://openalex.org/C162932704","wikidata":"https://www.wikidata.org/wiki/Q1058791","display_name":"Synchronizing","level":3,"score":0.748289942741394},{"id":"https://openalex.org/C2778809601","wikidata":"https://www.wikidata.org/wiki/Q1045736","display_name":"Passivity","level":2,"score":0.7244976758956909},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7127561569213867},{"id":"https://openalex.org/C111097370","wikidata":"https://www.wikidata.org/wiki/Q10969923","display_name":"Synchronization networks","level":4,"score":0.6916649341583252},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6260683536529541},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.6109575033187866},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5453802943229675},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4692903459072113},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.46153318881988525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42118072509765625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37666141986846924},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2774580717086792},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10090750455856323},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09477925300598145},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2015.2418400","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2418400","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320324369","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W599514827","https://openalex.org/W1510122527","https://openalex.org/W1539689348","https://openalex.org/W1654140683","https://openalex.org/W1965623622","https://openalex.org/W1990833963","https://openalex.org/W1994959046","https://openalex.org/W2005057776","https://openalex.org/W2020693769","https://openalex.org/W2024243686","https://openalex.org/W2028621114","https://openalex.org/W2067265108","https://openalex.org/W2067743683","https://openalex.org/W2083643127","https://openalex.org/W2088888190","https://openalex.org/W2092792066","https://openalex.org/W2096786180","https://openalex.org/W2102565497","https://openalex.org/W2104919393","https://openalex.org/W2110216011","https://openalex.org/W2118910576","https://openalex.org/W2125106534","https://openalex.org/W2136825531","https://openalex.org/W2149138152","https://openalex.org/W2149654885","https://openalex.org/W2160643434","https://openalex.org/W2171932063","https://openalex.org/W2172498959","https://openalex.org/W2498110550","https://openalex.org/W2540207746","https://openalex.org/W3099933143","https://openalex.org/W3159314495","https://openalex.org/W4210417410"],"related_works":["https://openalex.org/W2162484124","https://openalex.org/W3011780955","https://openalex.org/W2079584318","https://openalex.org/W2006780224","https://openalex.org/W41446018","https://openalex.org/W1964874807","https://openalex.org/W2807593021","https://openalex.org/W4297454726","https://openalex.org/W2783165419","https://openalex.org/W4282813813"],"abstract_inverted_index":{"We":[0,25],"consider":[1],"the":[2,68,84,90,113],"problem":[3,78],"of":[4,8,36,60,73,86,93],"synchronizing":[5],"a":[6,14,21,37,57,74],"group":[7],"N":[9],"identical":[10,44],"oscillators,":[11],"coupled":[12],"by":[13,20,83],"symmetric":[15],"network":[16],"that":[17,28,100],"is":[18,50,81],"modelled":[19],"multiple-input/multiple-output":[22],"dynamical":[23,75],"system.":[24,76],"provide":[26],"results":[27,53,97],"can":[29],"be":[30,103],"used":[31],"to":[32,42,64],"establish":[33],"asymptotic":[34],"synchronization":[35,49,101],"given":[38],"system":[39],"and":[40,70],"also":[41],"construct":[43],"feedback":[45],"oscillators":[46],"for":[47,89],"which":[48],"guaranteed.":[51],"These":[52],"are":[54],"based":[55],"on":[56,112],"new":[58],"notion":[59],"passivity":[61],"with":[62],"respect":[63],"manifolds":[65],"defined":[66],"in":[67,105],"input":[69],"output":[71],"spaces":[72],"The":[77],"under":[79],"consideration":[80],"motivated":[82],"design":[85],"control":[87],"algorithms":[88],"parallel":[91],"operation":[92],"power":[94],"inverters.":[95],"Simulation":[96],"have":[98],"shown":[99],"could":[102],"achieved":[104],"less":[106],"than":[107],"two":[108],"AC":[109],"cycles,":[110],"depending":[111],"electrical":[114],"interconnection":[115],"network.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}