{"id":"https://openalex.org/W2019312235","doi":"https://doi.org/10.1137/060657005","title":"Reaching a Consensus in a Dynamically Changing Environment: A Graphical Approach","display_name":"Reaching a Consensus in a Dynamically Changing Environment: A Graphical Approach","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2019312235","doi":"https://doi.org/10.1137/060657005","mag":"2019312235"},"language":"en","primary_location":{"id":"doi:10.1137/060657005","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060657005","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5021403340","display_name":"Ming Cao","orcid":"https://orcid.org/0000-0001-5472-562X"},"institutions":[{"id":"https://openalex.org/I2799411422","display_name":"Center for Discrete Mathematics and Theoretical Computer Science","ror":"https://ror.org/00k551w06","country_code":"US","type":"facility","lineage":["https://openalex.org/I102322142","https://openalex.org/I118347220","https://openalex.org/I1283103587","https://openalex.org/I1311060795","https://openalex.org/I20089843","https://openalex.org/I2799411422","https://openalex.org/I4210107353"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ming Cao","raw_affiliation_strings":["Discrete Technology and Production Automation"],"affiliations":[{"raw_affiliation_string":"Discrete Technology and Production Automation","institution_ids":["https://openalex.org/I2799411422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078535932","display_name":"A. Stephen Morse","orcid":"https://orcid.org/0000-0002-6796-7967"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]},{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]},{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["AU","US"],"is_corresponding":false,"raw_author_name":"A. Stephen Morse","raw_affiliation_strings":["Yale Univesity","Australia National University and","Yale University","National ICT Australia"],"affiliations":[{"raw_affiliation_string":"Yale Univesity","institution_ids":["https://openalex.org/I32971472"]},{"raw_affiliation_string":"Australia National University and","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Yale University","institution_ids":["https://openalex.org/I32971472"]},{"raw_affiliation_string":"National ICT Australia","institution_ids":["https://openalex.org/I42894916"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015736743","display_name":"Brian D. O. Anderson","orcid":"https://orcid.org/0000-0002-1493-4774"},"institutions":[{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]},{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]},{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["AU","US"],"is_corresponding":false,"raw_author_name":"Brian D. O. Anderson","raw_affiliation_strings":["Yale Univesity","Australia National University and","National ICT Australia","Yale University"],"affiliations":[{"raw_affiliation_string":"Yale Univesity","institution_ids":["https://openalex.org/I32971472"]},{"raw_affiliation_string":"Australia National University and","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"National ICT Australia","institution_ids":["https://openalex.org/I42894916"]},{"raw_affiliation_string":"Yale University","institution_ids":["https://openalex.org/I32971472"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021403340"],"corresponding_institution_ids":["https://openalex.org/I2799411422"],"apc_list":null,"apc_paid":null,"fwci":32.7803,"has_fulltext":false,"cited_by_count":580,"citation_normalized_percentile":{"value":0.99768941,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"47","issue":"2","first_page":"575","last_page":"600"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","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/T10249","display_name":"Distributed Control Multi-Agent Systems","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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6431513428688049},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5626367330551147},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.5290248394012451},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.47575896978378296},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.44194912910461426},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3484225273132324},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3328555226325989},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24714308977127075}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6431513428688049},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5626367330551147},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.5290248394012451},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.47575896978378296},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44194912910461426},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3484225273132324},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3328555226325989},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24714308977127075},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/060657005","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060657005","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:pure.rug.nl:publications/fbb470a2-dc28-4b59-a156-209bf10862db","is_oa":false,"landing_page_url":"https://research.rug.nl/en/publications/fbb470a2-dc28-4b59-a156-209bf10862db","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cao, M, Morse, A S & Anderson, B D O 2008, 'Reaching a Consensus in a Dynamically Changing Environment : A Graphical Approach', SIAM Journal on Control and Optimization, vol. 47, no. 2, pp. 575-600. https://doi.org/10.1137/060657005","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.469.7406","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.469.7406","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eng.yale.edu/controls/pending/flockp2.pdf","raw_type":"text"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/39156","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/39156","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Siam Journal on Control and Optimization","raw_type":"Journal article"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/fbb470a2-dc28-4b59-a156-209bf10862db","is_oa":false,"landing_page_url":"https://hdl.handle.net/11370/fbb470a2-dc28-4b59-a156-209bf10862db","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Cao, M, Morse, A S & Anderson, B D O 2008, 'Reaching a Consensus in a Dynamically Changing Environment : A Graphical Approach', SIAM Journal on Control and Optimization, vol. 47, no. 2, pp. 575-600. https://doi.org/10.1137/060657005","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W247697463","https://openalex.org/W427836156","https://openalex.org/W589682677","https://openalex.org/W1543086911","https://openalex.org/W1547358136","https://openalex.org/W1574923065","https://openalex.org/W1993380136","https://openalex.org/W1998692453","https://openalex.org/W2015410655","https://openalex.org/W2018800107","https://openalex.org/W2032803680","https://openalex.org/W2035362408","https://openalex.org/W2099175737","https://openalex.org/W2110948668","https://openalex.org/W2112753256","https://openalex.org/W2122093006","https://openalex.org/W2125668987","https://openalex.org/W2126924915","https://openalex.org/W2128928412","https://openalex.org/W2145574455","https://openalex.org/W2150312211","https://openalex.org/W2150384552","https://openalex.org/W2154834860","https://openalex.org/W2159499856","https://openalex.org/W2160535095","https://openalex.org/W2165469059","https://openalex.org/W2165744313","https://openalex.org/W2295171903","https://openalex.org/W2610857016","https://openalex.org/W2799137445","https://openalex.org/W4234406933","https://openalex.org/W4250134109"],"related_works":["https://openalex.org/W1517908938","https://openalex.org/W2281834912","https://openalex.org/W1489941249","https://openalex.org/W3123492739","https://openalex.org/W4320486059","https://openalex.org/W2494168571","https://openalex.org/W3121191496","https://openalex.org/W1970376031","https://openalex.org/W2912612369","https://openalex.org/W4297794376"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"new":[3],"graph-theoretic":[4,91],"results":[5],"appropriate":[6],"for":[7,35,100],"the":[8,63,76,82,85,97,101,105],"analysis":[9],"of":[10,13,23,37,39,44,49,65,81,84,104],"a":[11,50,66,70],"variety":[12],"consensus":[14,109],"problems":[15],"cast":[16],"in":[17,88],"dynamically":[18],"changing":[19],"environments.":[20],"The":[21,47],"concepts":[22,86],"rooted,":[24,26],"strongly":[25],"and":[27,31,55,69,75],"neighbor-shared":[28],"are":[29,33,73,93],"defined,":[30,54],"conditions":[32,62,92],"derived":[34],"compositions":[36],"sequences":[38],"directed":[40],"graphs":[41],"to":[42],"be":[43],"these":[45],"types.":[46],"graph":[48,64,72],"stochastic":[51],"matrix":[52,68],"is":[53,57],"it":[56],"shown":[58],"that":[59],"under":[60],"certain":[61],"Sarymsakov":[67],"rooted":[71],"one":[74],"same.":[77],"As":[78],"an":[79],"illustration":[80],"use":[83],"developed":[87],"this":[89],"paper,":[90],"obtained":[94],"which":[95],"address":[96],"convergence":[98],"question":[99],"leaderless":[102],"version":[103],"widely":[106],"studied":[107],"Vicsek":[108],"problem.":[110]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":23},{"year":2022,"cited_by_count":21},{"year":2021,"cited_by_count":34},{"year":2020,"cited_by_count":28},{"year":2019,"cited_by_count":33},{"year":2018,"cited_by_count":30},{"year":2017,"cited_by_count":57},{"year":2016,"cited_by_count":43},{"year":2015,"cited_by_count":44},{"year":2014,"cited_by_count":54},{"year":2013,"cited_by_count":51},{"year":2012,"cited_by_count":36}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
