{"id":"https://openalex.org/W2083887961","doi":"https://doi.org/10.1109/acc.2010.5530780","title":"A complete characterization of a class of robust linear average consensus protocols","display_name":"A complete characterization of a class of robust linear average consensus protocols","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2083887961","doi":"https://doi.org/10.1109/acc.2010.5530780","mag":"2083887961"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2010.5530780","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5530780","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 American Control Conference","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/A5112604663","display_name":"Richard Freeman","orcid":null},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R A Freeman","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, IL, USA","Department of Electrical Engineering and Computer Science (Freeman and Nelson) and the Department of Mechanical Engineering (Lynch), Northwestern University, Evanston, IL 60208, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, IL, USA","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science (Freeman and Nelson) and the Department of Mechanical Engineering (Lynch), Northwestern University, Evanston, IL 60208, USA","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111825097","display_name":"Thomas R. Nelson","orcid":"https://orcid.org/0009-0004-2595-1395"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T R Nelson","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, IL, USA","Department of Electrical Engineering and Computer Science (Freeman and Nelson) and the Department of Mechanical Engineering (Lynch), Northwestern University, Evanston, IL 60208, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, IL, USA","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science (Freeman and Nelson) and the Department of Mechanical Engineering (Lynch), Northwestern University, Evanston, IL 60208, USA","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102964377","display_name":"Kieran Lynch","orcid":"https://orcid.org/0000-0003-1469-3672"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K M Lynch","raw_affiliation_strings":["Department of Mechanical Engineering, Northwestern University, Evanston, IL, USA","Department of Electrical Engineering and Computer Science (Freeman and Nelson) and the Department of Mechanical Engineering (Lynch), Northwestern University, Evanston, IL 60208, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Northwestern University, Evanston, IL, USA","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science (Freeman and Nelson) and the Department of Mechanical Engineering (Lynch), Northwestern University, Evanston, IL 60208, USA","institution_ids":["https://openalex.org/I111979921"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8643,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.86539034,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"3198","last_page":"3203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"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":1.0,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9979000091552734,"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":0.9965000152587891,"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/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.8392801284790039},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6759630441665649},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6309391856193542},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5614784955978394},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.5550261735916138},{"id":"https://openalex.org/keywords/uniform-consensus","display_name":"Uniform consensus","score":0.4938691258430481},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.48237720131874084},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.4816707372665405},{"id":"https://openalex.org/keywords/consensus-algorithm","display_name":"Consensus algorithm","score":0.4694967567920685},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4452277719974518},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4126822352409363},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33209294080734253},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23997342586517334},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.15557768940925598},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1133531928062439}],"concepts":[{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.8392801284790039},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6759630441665649},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6309391856193542},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5614784955978394},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.5550261735916138},{"id":"https://openalex.org/C80966040","wikidata":"https://www.wikidata.org/wiki/Q7885028","display_name":"Uniform consensus","level":4,"score":0.4938691258430481},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.48237720131874084},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.4816707372665405},{"id":"https://openalex.org/C2983222225","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus algorithm","level":2,"score":0.4694967567920685},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4452277719974518},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4126822352409363},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33209294080734253},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23997342586517334},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.15557768940925598},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1133531928062439},{"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2010.5530780","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2010.5530780","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2010 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1989224156","https://openalex.org/W2016918503","https://openalex.org/W2045855145","https://openalex.org/W2074796812","https://openalex.org/W2100431085","https://openalex.org/W2107396783","https://openalex.org/W2130157567","https://openalex.org/W2147539438","https://openalex.org/W2165744313","https://openalex.org/W2295244470"],"related_works":["https://openalex.org/W2106670435","https://openalex.org/W3125215112","https://openalex.org/W2948707074","https://openalex.org/W2139553355","https://openalex.org/W4251476103","https://openalex.org/W2896427781","https://openalex.org/W1940417675","https://openalex.org/W2155168782","https://openalex.org/W2246375794","https://openalex.org/W2355717103"],"abstract_inverted_index":{"We":[0],"provide":[1],"a":[2,11,14],"set":[3],"of":[4,13,17,27,30],"verifiable":[5],"necessary":[6],"and":[7],"sufficient":[8],"conditions":[9],"for":[10],"member":[12],"broad":[15],"class":[16],"linear":[18],"discrete-time":[19],"consensus":[20,38],"protocols":[21],"to":[22,34],"guarantee":[23],"the":[24,28,31,35],"robust":[25],"convergence":[26],"outputs":[29],"networked":[32],"dynamics":[33],"correct":[36],"average":[37],"value.":[39]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}