{"id":"https://openalex.org/W2082868669","doi":"https://doi.org/10.1109/tac.2014.2351431","title":"Finite-Time Consensus With Disturbance Rejection by Discontinuous Local Interactions in Directed Graphs","display_name":"Finite-Time Consensus With Disturbance Rejection by Discontinuous Local Interactions in Directed Graphs","publication_year":2014,"publication_date":"2014-09-25","ids":{"openalex":"https://openalex.org/W2082868669","doi":"https://doi.org/10.1109/tac.2014.2351431","mag":"2082868669"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2351431","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2351431","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":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11584/61137","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061133764","display_name":"Mauro Franceschelli","orcid":"https://orcid.org/0000-0001-6522-4046"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mauro Franceschelli","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, University of Cagliari, Cagliari, Italy","Dept. of Electr. & Electron. Eng., Univ. of Cagliari, Cagliari, , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, University of Cagliari, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Univ. of Cagliari, Cagliari, , Italy","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025350316","display_name":"Alessandro Pisano","orcid":"https://orcid.org/0000-0003-2774-626X"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Pisano","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, University of Cagliari, Cagliari, Italy","Dept. of Electr. & Electron. Eng., Univ. of Cagliari, Cagliari, , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, University of Cagliari, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Univ. of Cagliari, Cagliari, , Italy","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030895170","display_name":"Alessandro Giua","orcid":"https://orcid.org/0000-0002-3859-9472"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]}],"countries":["FR","IT"],"is_corresponding":false,"raw_author_name":"Alessandro Giua","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, LSIS, University of Aix-Marseille, Marseille, France","Dept. of Electr. & Electron. Eng., Univ. of Cagliari, Cagliari, , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, LSIS, University of Aix-Marseille, Marseille, France","institution_ids":["https://openalex.org/I21491767"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Univ. of Cagliari, Cagliari, , Italy","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024501823","display_name":"Elio Usai","orcid":"https://orcid.org/0000-0001-6338-2593"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Elio Usai","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, University of Cagliari, Cagliari, Italy","Dept. of Electr. & Electron. Eng., Univ. of Cagliari, Cagliari, , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, University of Cagliari, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Univ. of Cagliari, Cagliari, , Italy","institution_ids":["https://openalex.org/I172446870"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.1566,"has_fulltext":false,"cited_by_count":122,"citation_normalized_percentile":{"value":0.98580944,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"60","issue":"4","first_page":"1133","last_page":"1138"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9986000061035156,"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":0.9986000061035156,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9976999759674072,"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":0.9775999784469604,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.708091139793396},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6096612215042114},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5885076522827148},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.552248477935791},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.543998122215271},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5377495288848877},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5123416185379028},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.502526044845581},{"id":"https://openalex.org/keywords/kuramoto-model","display_name":"Kuramoto model","score":0.4941923916339874},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.45815834403038025},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4478897154331207},{"id":"https://openalex.org/keywords/disturbance","display_name":"Disturbance (geology)","score":0.4286154508590698},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41063350439071655},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.38307252526283264},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.20273390412330627},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.18041107058525085},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17584455013275146},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1619747281074524},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08150902390480042},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08101487159729004}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.708091139793396},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6096612215042114},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5885076522827148},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.552248477935791},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.543998122215271},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5377495288848877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5123416185379028},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.502526044845581},{"id":"https://openalex.org/C2780042749","wikidata":"https://www.wikidata.org/wiki/Q604374","display_name":"Kuramoto model","level":4,"score":0.4941923916339874},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.45815834403038025},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4478897154331207},{"id":"https://openalex.org/C2777601987","wikidata":"https://www.wikidata.org/wiki/Q5283581","display_name":"Disturbance (geology)","level":2,"score":0.4286154508590698},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41063350439071655},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.38307252526283264},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.20273390412330627},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.18041107058525085},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17584455013275146},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1619747281074524},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08150902390480042},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08101487159729004},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (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},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tac.2014.2351431","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2351431","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.712.102","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.712.102","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.diee.unica.it/%7Episano/2015-COnsensus-TAC.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01479626v1","is_oa":false,"landing_page_url":"https://amu.hal.science/hal-01479626","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2015, 60 (4), pp.1133-1138","raw_type":"Journal articles"},{"id":"pmh:oai:iris.unica.it:11584/61137","is_oa":true,"landing_page_url":"http://hdl.handle.net/11584/61137","pdf_url":null,"source":{"id":"https://openalex.org/S4377196293","display_name":"UNICA IRIS Institutional Research Information System (University of Cagliari)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172446870","host_organization_name":"University of Cagliari","host_organization_lineage":["https://openalex.org/I172446870"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.unica.it:11584/61137","is_oa":true,"landing_page_url":"http://hdl.handle.net/11584/61137","pdf_url":null,"source":{"id":"https://openalex.org/S4377196293","display_name":"UNICA IRIS Institutional Research Information System (University of Cagliari)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172446870","host_organization_name":"University of Cagliari","host_organization_lineage":["https://openalex.org/I172446870"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1551360398","https://openalex.org/W1592648094","https://openalex.org/W1964501894","https://openalex.org/W1969620594","https://openalex.org/W1974291577","https://openalex.org/W1982947074","https://openalex.org/W1984220105","https://openalex.org/W1992261446","https://openalex.org/W1997637758","https://openalex.org/W2015545173","https://openalex.org/W2017429699","https://openalex.org/W2023233398","https://openalex.org/W2024439367","https://openalex.org/W2043435157","https://openalex.org/W2051743447","https://openalex.org/W2058533888","https://openalex.org/W2066647300","https://openalex.org/W2088986187","https://openalex.org/W2091387022","https://openalex.org/W2093499594","https://openalex.org/W2097670204","https://openalex.org/W2105850748","https://openalex.org/W2109987654","https://openalex.org/W2121607663","https://openalex.org/W2131363581","https://openalex.org/W2137580732","https://openalex.org/W2145574455","https://openalex.org/W2147540630","https://openalex.org/W2151063922","https://openalex.org/W2154645018","https://openalex.org/W2167677395","https://openalex.org/W2168556553","https://openalex.org/W2172143163","https://openalex.org/W2963926440","https://openalex.org/W2964098315","https://openalex.org/W3142756138","https://openalex.org/W3146418138","https://openalex.org/W4293078920","https://openalex.org/W6681857541","https://openalex.org/W6682646277"],"related_works":["https://openalex.org/W2784026553","https://openalex.org/W3127518712","https://openalex.org/W2511063373","https://openalex.org/W3088852461","https://openalex.org/W2113824758","https://openalex.org/W2118264468","https://openalex.org/W2063140052","https://openalex.org/W2467364348","https://openalex.org/W2979048835","https://openalex.org/W2335243741"],"abstract_inverted_index":{"In":[0],"this":[1],"technical":[2,76],"note":[3],"we":[4],"propose":[5],"a":[6,17,39,60,82],"decentralized":[7],"discontinuous":[8,44],"interaction":[9,45],"rule":[10,46],"which":[11],"allows":[12],"to":[13,67,81,90],"achieve":[14],"consensus":[15,58],"in":[16,74],"network":[18,35,83],"of":[19,33,49,53,84],"agents":[20],"modeled":[21],"by":[22,28,38],"continuous-time":[23],"first-order":[24],"integrator":[25],"dynamics":[26],"affected":[27],"bounded":[29],"disturbances.":[30],"The":[31,42],"topology":[32],"the":[34,51,54,68,75,92],"is":[36,47,71],"described":[37],"directed":[40],"graph.":[41],"proposed":[43],"capable":[48],"rejecting":[50],"effects":[52],"disturbances":[55],"and":[56],"achieving":[57],"after":[59],"finite":[61],"transient":[62],"time.":[63],"An":[64],"upper":[65],"bound":[66],"convergence":[69],"time":[70],"explicitly":[72],"derived":[73],"note.":[77],"Simulation":[78],"results,":[79],"referring":[80],"coupled":[85],"Kuramoto-like":[86],"oscillators,":[87],"are":[88],"illustrated":[89],"corroborate":[91],"theoretical":[93],"analysis.":[94]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":16},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}