{"id":"https://openalex.org/W2800035398","doi":"https://doi.org/10.23919/ecc.2018.8550430","title":"Consensus of overflowing clocks via repulsive Laplacian laws","display_name":"Consensus of overflowing clocks via repulsive Laplacian laws","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2800035398","doi":"https://doi.org/10.23919/ecc.2018.8550430","mag":"2800035398"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2018.8550430","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2018.8550430","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 European Control Conference (ECC)","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/A5028157316","display_name":"Gerardo De Carolis","orcid":null},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. de Carolis","raw_affiliation_strings":["Dipartimento di Ingegneria Civile e Ingegneria Informatica, University of Rome Tor, Vergata, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Civile e Ingegneria Informatica, University of Rome Tor, Vergata, Italy","institution_ids":["https://openalex.org/I116067653"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066623823","display_name":"Sergio Galeani","orcid":"https://orcid.org/0000-0003-3367-3933"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. Galeani","raw_affiliation_strings":["Dipartimento di Ingegneria Civile e Ingegneria Informatica, University of Rome Tor, Vergata, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Civile e Ingegneria Informatica, University of Rome Tor, Vergata, Italy","institution_ids":["https://openalex.org/I116067653"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018597173","display_name":"Mario Sassano","orcid":"https://orcid.org/0000-0003-4525-4656"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Sassano","raw_affiliation_strings":["Dipartimento di Ingegneria Civile e Ingegneria Informatica, University of Rome Tor, Vergata, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Civile e Ingegneria Informatica, University of Rome Tor, Vergata, Italy","institution_ids":["https://openalex.org/I116067653"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3953,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.64786605,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"2127","last_page":"2132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9983000159263611,"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":0.9983000159263611,"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/T12216","display_name":"Network Time Synchronization Technologies","score":0.9959999918937683,"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":0.9898999929428101,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6583454012870789},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.6035645008087158},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.5817273259162903},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5399754643440247},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.44627341628074646},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.44044339656829834},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42662250995635986},{"id":"https://openalex.org/keywords/reset","display_name":"Reset (finance)","score":0.4191027283668518},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.4115034341812134},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4005558490753174},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.39919209480285645},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.391751766204834},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.36240267753601074},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3430887460708618},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3419575095176697},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2768357992172241},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26294976472854614},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12981048226356506},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12257611751556396},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.10481947660446167}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6583454012870789},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.6035645008087158},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.5817273259162903},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5399754643440247},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.44627341628074646},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.44044339656829834},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42662250995635986},{"id":"https://openalex.org/C2779795794","wikidata":"https://www.wikidata.org/wiki/Q7315343","display_name":"Reset (finance)","level":2,"score":0.4191027283668518},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.4115034341812134},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4005558490753174},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39919209480285645},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.391751766204834},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.36240267753601074},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3430887460708618},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3419575095176697},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2768357992172241},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26294976472854614},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12981048226356506},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12257611751556396},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.10481947660446167},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc.2018.8550430","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2018.8550430","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:art.torvergata.it:2108/210902","is_oa":false,"landing_page_url":"http://hdl.handle.net/2108/210902","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"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":"Peace, Justice and strong institutions","score":0.7699999809265137,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1963806766","https://openalex.org/W2022949505","https://openalex.org/W2058533888","https://openalex.org/W2063048719","https://openalex.org/W2094636498","https://openalex.org/W2099308299","https://openalex.org/W2104443140","https://openalex.org/W2105666891","https://openalex.org/W2107396783","https://openalex.org/W2114482313","https://openalex.org/W2124411500","https://openalex.org/W2169475202","https://openalex.org/W2171665783"],"related_works":["https://openalex.org/W2361636109","https://openalex.org/W2570009360","https://openalex.org/W2333731806","https://openalex.org/W3096674331","https://openalex.org/W3004345458","https://openalex.org/W2883186538","https://openalex.org/W2051180862","https://openalex.org/W1976439244","https://openalex.org/W2402951419","https://openalex.org/W2896947499"],"abstract_inverted_index":{"The":[0],"main":[1],"objective":[2],"of":[3,13,101,113,136],"this":[4,67],"paper":[5],"consists":[6],"in":[7,10,37],"imposing":[8],"consensus":[9,116,155],"a":[11,30,38,79,93,159],"network":[12],"overflowing":[14],"clocks":[15,138],"with":[16,33,130,150,158],"identical":[17],"speeds":[18],"but":[19],"potentially":[20],"different":[21],"initial":[22],"offsets.":[23],"Each":[24],"(overflowing)":[25],"clock":[26],"is":[27,52,86,117,120,128,139,148,156],"modeled":[28],"as":[29],"single":[31],"integrator":[32],"the":[34,44,73,102,107,124,131,137,151,164],"state":[35,45],"confined":[36],"bounded":[39],"set":[40],"such":[41],"that,":[42],"whenever":[43],"reaches":[46],"its":[47],"maximum":[48],"allowed":[49],"value,":[50],"it":[51,85,147],"immediately":[53],"reset":[54],"to":[55,78],"zero":[56],"(overflowing":[57],"phenomenon),":[58],"thus":[59],"exhibiting":[60],"both":[61,89],"continuous-time":[62],"and":[63,92],"discrete-time":[64],"behaviours.":[65],"In":[66,83],"framework,":[68],"control":[69,161],"techniques":[70],"inspired":[71],"by":[72,106],"classical":[74],"Laplacian":[75,95],"philosophy":[76],"lead":[77],"somewhat":[80],"unexpected":[81],"result.":[82],"fact,":[84],"shown":[87],"that":[88,109,123],"an":[90,143],"attractive":[91,132],"repulsive":[94,152,160],"law":[96,162],"induce":[97],"two":[98],"periodic":[99,126],"orbits":[100],"closed-loop":[103],"system,":[104],"characterized":[105],"feature":[108],"along":[110],"only":[111],"one":[112],"these":[114],"trajectories":[115],"reached.":[118],"It":[119],"then":[121],"proved":[122],"error-zeroing":[125],"orbit":[127],"unstable":[129],"Laplacian,":[133,153],"hence":[134,154],"agreement":[135],"not":[140],"achieved,":[141],"while":[142],"asymptotic":[144],"convergence":[145],"on":[146],"guaranteed":[149],"reached":[157],"among":[163],"clocks.":[165]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}