{"id":"https://openalex.org/W2107802325","doi":"https://doi.org/10.1109/acc.2008.4586681","title":"Distributed function calculation via linear iterations in the presence of malicious agents — Part II: Overcoming malicious behavior","display_name":"Distributed function calculation via linear iterations in the presence of malicious agents — Part II: Overcoming malicious behavior","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2107802325","doi":"https://doi.org/10.1109/acc.2008.4586681","mag":"2107802325"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2008.4586681","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2008.4586681","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 American Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","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/A5076731201","display_name":"Shreyas Sundaram","orcid":"https://orcid.org/0000-0002-5390-2505"},"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":"Shreyas Sundaram","raw_affiliation_strings":["Coordinated Science Laboratory, and the Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, IL, USA","Dept. of Electr. & Comput. Eng., Univ. of Illinois at Urbana- Champaign, Urbana, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, and the Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of Illinois at Urbana- Champaign, Urbana, IL","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","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":false,"raw_author_name":"Christoforos N. Hadjicostis","raw_affiliation_strings":["Coordinated Science Laboratory, and the Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, IL, USA","Dept. of Electr. & Comput. Eng., Univ. of Illinois at Urbana- Champaign, Urbana, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, and the Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of Illinois at Urbana- Champaign, Urbana, IL","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":4.5825,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.96099924,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1356","last_page":"1361"},"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":0.996999979019165,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/node","display_name":"Node (physics)","score":0.6789671182632446},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6536554098129272},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6379905939102173},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5367347598075867},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4416678547859192},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35632002353668213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34272342920303345}],"concepts":[{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6789671182632446},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6536554098129272},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6379905939102173},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5367347598075867},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4416678547859192},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35632002353668213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34272342920303345},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2008.4586681","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2008.4586681","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.6700000166893005}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W66325245","https://openalex.org/W83533993","https://openalex.org/W1479863711","https://openalex.org/W1515569264","https://openalex.org/W1534096605","https://openalex.org/W1971604476","https://openalex.org/W2018466653","https://openalex.org/W2029105015","https://openalex.org/W2123976939","https://openalex.org/W2144246223","https://openalex.org/W2147540630","https://openalex.org/W2160643434","https://openalex.org/W2165492211","https://openalex.org/W2170039743","https://openalex.org/W2611515161","https://openalex.org/W3106753174","https://openalex.org/W3141776272"],"related_works":["https://openalex.org/W3080875783","https://openalex.org/W3104048492","https://openalex.org/W2224648581","https://openalex.org/W2136053165","https://openalex.org/W2042726902","https://openalex.org/W2018828049","https://openalex.org/W1598979804","https://openalex.org/W3102909640","https://openalex.org/W2892361052","https://openalex.org/W2046712581"],"abstract_inverted_index":{"Given":[0],"a":[1,8,14,46,61,76,169,197,229],"network":[2,122,143],"of":[3,22,30,37,64,71,83,133,141,172,180,189,199,207,223],"interconnected":[4],"nodes,":[5,114,227],"each":[6,52,54,96],"with":[7,103],"given":[9],"initial":[10,32,135],"value,":[11],"we":[12,115,150],"develop":[13],"distributed":[15,209],"strategy":[16,49],"that":[17,117,152],"enables":[18],"some":[19,38],"or":[20,225],"all":[21,134,193,212],"the":[23,35,85,121,139,142,156,165,178,183,205,217,221],"nodes":[24,157,181,213],"to":[25,59,78,111,125,128,215],"calculate":[26,129,159,216],"any":[27,118,130,187],"arbitrary":[28,131],"function":[29,132,219],"these":[31],"values,":[33],"despite":[34,220],"presence":[36,222],"malicious":[39,80,105,113,226],"(or":[40],"faulty)":[41],"nodes.":[42],"Our":[43,202],"scheme":[44],"utilizes":[45],"linear":[47,87,166],"iterative":[48,88],"where,":[50],"at":[51,95,145],"time-step,":[53],"node":[55,77,119,136],"updates":[56,91],"its":[57,65,72,92],"value":[58,68,93],"be":[60,79,126],"weighted":[62],"average":[63],"own":[66],"previous":[67],"and":[69,101],"those":[70],"neighbors.":[73],"We":[74],"consider":[75],"if,":[81],"instead":[82],"following":[84],"predefined":[86],"strategy,":[89],"it":[90],"arbitrarily":[94],"time-step":[97],"(perhaps":[98],"by":[99,177],"conspiring":[100],"coordinating":[102],"other":[104],"nodes).":[106],"When":[107],"there":[108],"are":[109],"up":[110],"f":[112],"show":[116,151],"in":[120,182],"is":[123,144],"guaranteed":[124],"able":[127],"values":[137],"if":[138],"graph":[140],"least":[146],"(2f":[147],"+1)-connected.":[148],"Specifically,":[149],"under":[153],"this":[154],"condition,":[155],"can":[158],"their":[160],"desired":[161],"functions":[162],"after":[163],"running":[164],"iteration":[167],"for":[168,192,196],"finite":[170],"number":[171,179],"time-":[173],"steps":[174],"(upper":[175],"bounded":[176],"network)":[184],"using":[185],"almost":[186],"set":[188,198],"weights":[190,194],"(i.e.,":[191],"except":[195],"measure":[200],"zero).":[201],"approach":[203],"treats":[204],"problem":[206],"fault-tolerant":[208],"consensus,":[210],"where":[211],"have":[214],"same":[218],"faulty":[224],"as":[228],"special":[230],"case.":[231]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":6}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}