{"id":"https://openalex.org/W2394881237","doi":"https://doi.org/10.1109/tac.2015.2471695","title":"Robust Distributed Average Consensus via Exchange of Running Sums","display_name":"Robust Distributed Average Consensus via Exchange of Running Sums","publication_year":2015,"publication_date":"2015-08-24","ids":{"openalex":"https://openalex.org/W2394881237","doi":"https://doi.org/10.1109/tac.2015.2471695","mag":"2394881237"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2015.2471695","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2471695","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/A5030551100","display_name":"Christoforos N. Hadjicostis","orcid":"https://orcid.org/0000-0002-1706-708X"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Christoforos N. Hadjicostis","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Illinois at Urbana-Champaign, Urbana, IL, USA"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042521435","display_name":"Nitin H. Vaidya","orcid":"https://orcid.org/0000-0001-5104-8977"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nitin H. Vaidya","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Illinois at Urbana-Champaign, Urbana, IL, USA"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055346739","display_name":"Alejandro D. Dom\u00ednguez-Garc\u00eda","orcid":"https://orcid.org/0000-0001-9557-3247"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alejandro D. Dominguez-Garcia","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Illinois at Urbana-Champaign, Urbana, IL, USA"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5030551100"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":10.8608,"has_fulltext":false,"cited_by_count":90,"citation_normalized_percentile":{"value":0.98517581,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"61","issue":"6","first_page":"1492","last_page":"1507"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T11896","display_name":"Opportunistic and Delay-Tolerant Networks","score":0.9962999820709229,"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/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9896000027656555,"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/digraph","display_name":"Digraph","score":0.7352525591850281},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6890367865562439},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5924093723297119},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5830522179603577},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.5470987558364868},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.5397231578826904},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.5346381664276123},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4869726598262787},{"id":"https://openalex.org/keywords/overhead","display_name":"Overhead (engineering)","score":0.4634183943271637},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4472978413105011},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42781221866607666},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.4238010346889496},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4126427173614502},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38992464542388916},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3236480951309204},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3185393810272217},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3129405677318573},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24211707711219788},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.158917635679245}],"concepts":[{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.7352525591850281},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6890367865562439},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5924093723297119},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5830522179603577},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.5470987558364868},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.5397231578826904},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.5346381664276123},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4869726598262787},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.4634183943271637},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4472978413105011},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42781221866607666},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.4238010346889496},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4126427173614502},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38992464542388916},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3236480951309204},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3185393810272217},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3129405677318573},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24211707711219788},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.158917635679245},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2015.2471695","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2471695","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:10.1.1.724.9948","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.724.9948","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eng.ucy.ac.cy/hadjicostis/JournalPapers/j71.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G233854254","display_name":null,"funder_award_id":"NeTS-1421918","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3371659557","display_name":null,"funder_award_id":"W-911-NF-0710287","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G413912989","display_name":null,"funder_award_id":"CNS-1059540","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4937175047","display_name":null,"funder_award_id":"ECCS-CPS-1135598","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7225240311","display_name":null,"funder_award_id":"INFSO-ICT-223844","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7470799065","display_name":null,"funder_award_id":"PIRG02-GA-2007-224877","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8883004392","display_name":null,"funder_award_id":"ECCS-CAR-0954420","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321002","display_name":"Research Promotion Foundation","ror":"https://ror.org/00en9ce74"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W194645428","https://openalex.org/W1547358136","https://openalex.org/W1976010987","https://openalex.org/W1976742521","https://openalex.org/W1982131419","https://openalex.org/W1987917074","https://openalex.org/W1997775689","https://openalex.org/W2018800107","https://openalex.org/W2032803680","https://openalex.org/W2037518539","https://openalex.org/W2059064018","https://openalex.org/W2069512951","https://openalex.org/W2074796812","https://openalex.org/W2084044206","https://openalex.org/W2093777540","https://openalex.org/W2110100895","https://openalex.org/W2111857756","https://openalex.org/W2114403255","https://openalex.org/W2119682789","https://openalex.org/W2122827846","https://openalex.org/W2130388240","https://openalex.org/W2130758224","https://openalex.org/W2133339412","https://openalex.org/W2134852058","https://openalex.org/W2135674292","https://openalex.org/W2152291530","https://openalex.org/W2155723880","https://openalex.org/W2159499856","https://openalex.org/W2160413708","https://openalex.org/W2160643434","https://openalex.org/W2165469059","https://openalex.org/W2165763597","https://openalex.org/W2168630576","https://openalex.org/W2169167445","https://openalex.org/W2179660836","https://openalex.org/W2609196494","https://openalex.org/W2963490876","https://openalex.org/W2963940890","https://openalex.org/W4244300861","https://openalex.org/W4295199791","https://openalex.org/W6684667092"],"related_works":["https://openalex.org/W2033567934","https://openalex.org/W2782194400","https://openalex.org/W2365236566","https://openalex.org/W4206573252","https://openalex.org/W2023776467","https://openalex.org/W2230758337","https://openalex.org/W2011214451","https://openalex.org/W4212827260","https://openalex.org/W1548208024","https://openalex.org/W2361839934"],"abstract_inverted_index":{"We":[0,33],"consider":[1],"a":[2,24,35,56,223],"multi-component":[3],"system":[4],"in":[5,65,77,215],"which":[6],"each":[7,158,210],"component":[8],"(node)":[9],"can":[10,144],"send/receive":[11],"information":[12,115],"to/from":[13],"sets":[14],"of":[15,37,51,58,72,85,139,150,163,166,178,209,211,242],"neighboring":[16],"nodes":[17,44,174],"via":[18,238],"communication":[19,30,67,153,197],"links":[20],"(edges)":[21],"that":[22,41,92,119,183,194,206],"form":[23],"fixed":[25],"strongly":[26],"connected,":[27],"possibly":[28],"directed,":[29],"topology":[31,198],"(digraph).":[32],"analyze":[34],"class":[36,79],"distributed":[38],"iterative":[39],"algorithms":[40,76],"allow":[42],"the":[43,48,66,73,81,86,109,140,148,161,175,192,196,207,212,216,243],"to":[45,98,113,123,125,134,171,222,231],"asymptotically":[46],"compute":[47],"exact":[49,232],"average":[50,233],"their":[52],"initial":[53],"values,":[54],"despite":[55],"variety":[57],"challenging":[59],"scenarios,":[60],"including":[61],"possible":[62],"packet":[63,135],"drops":[64],"links,":[68],"and":[69,152,169,204],"imprecise":[70],"knowledge":[71,138],"network.":[74],"The":[75],"this":[78],"run":[80],"two":[82,213],"linear":[83],"iterations":[84,214],"so-called":[87],"ratioconsensus":[88],"algorithm,":[89],"modified":[90],"so":[91],"messages":[93,118],"sent":[94],"by":[95,155,199],"one":[96,179],"node":[97,111,120,126,159],"another":[99],"are":[100],"encoded":[101],"as":[102],"running":[103,164,181],"sums.":[104],"This":[105],"\u201cconvolutional\u201d":[106],"encoding":[107],"allows":[108],"receiving":[110],"l":[112,127],"infer":[114],"about":[116],"past":[117],"j":[121],"meant":[122],"send":[124],"but":[128],"may":[129],"have":[130],"been":[131],"lost":[132],"due":[133],"drops.":[136],"Imprecise":[137],"network":[141],"(unknown":[142],"out-neighborhoods)":[143],"be":[145],"handled,":[146],"at":[147],"cost":[149],"memory":[151],"overhead,":[154],"also":[156],"having":[157],"track":[160],"progress":[162],"sums":[165],"other":[167],"nodes,":[168,203],"forward":[170],"its":[172],"out-neighboring":[173],"updated":[176],"value":[177],"such":[180],"sum":[182],"it":[184],"randomly":[185],"selects.":[186],"Our":[187],"analysis":[188,241],"relies":[189],"on":[190],"augmenting":[191],"digraph":[193,218],"describes":[195],"introducing":[200],"additional":[201],"(virtual)":[202],"showing":[205],"dynamics":[208],"augmented":[217],"is":[219,235],"mathematically":[220],"equivalent":[221],"finite":[224],"inhomogeneous":[225,245],"Markov":[226,246],"chain.":[227,247],"Almost":[228],"sure":[229],"convergence":[230],"consensus":[234],"then":[236],"established":[237],"weak":[239],"ergodicity":[240],"resulting":[244]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":18},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":7}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}