{"id":"https://openalex.org/W4323914409","doi":"https://doi.org/10.1109/tac.2023.3255140","title":"Convergence Rate of Accelerated Average Consensus With Local Node Memory: Optimization and Analytic Solutions","display_name":"Convergence Rate of Accelerated Average Consensus With Local Node Memory: Optimization and Analytic Solutions","publication_year":2023,"publication_date":"2023-03-10","ids":{"openalex":"https://openalex.org/W4323914409","doi":"https://doi.org/10.1109/tac.2023.3255140"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3255140","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3255140","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/A5057426994","display_name":"Jing\u2013Wen Yi","orcid":"https://orcid.org/0000-0003-0835-5335"},"institutions":[{"id":"https://openalex.org/I43922553","display_name":"Wuhan University of Science and Technology","ror":"https://ror.org/00e4hrk88","country_code":"CN","type":"education","lineage":["https://openalex.org/I43922553"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing-Wen Yi","raw_affiliation_strings":["Engineering Research Center of Metallurgical Automation and Measurement Technology, Wuhan University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0003-0835-5335","affiliations":[{"raw_affiliation_string":"Engineering Research Center of Metallurgical Automation and Measurement Technology, Wuhan University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I43922553"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100704809","display_name":"Li Chai","orcid":"https://orcid.org/0000-0002-4331-0565"},"institutions":[{"id":"https://openalex.org/I4391767838","display_name":"State Key Laboratory of Industrial Control Technology","ror":"https://ror.org/03a33a786","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4391767838","https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Chai","raw_affiliation_strings":["State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-4331-0565","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I4391767838"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100630363","display_name":"Jingxin Zhang","orcid":"https://orcid.org/0000-0002-9450-188X"},"institutions":[{"id":"https://openalex.org/I57093077","display_name":"Swinburne University of Technology","ror":"https://ror.org/031rekg67","country_code":"AU","type":"education","lineage":["https://openalex.org/I57093077"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Jingxin Zhang","raw_affiliation_strings":["School of Science, Computing and Engineering Technologies, Swinburne University of Technology, Melbourne, VIC, Australia"],"raw_orcid":"https://orcid.org/0000-0002-9450-188X","affiliations":[{"raw_affiliation_string":"School of Science, Computing and Engineering Technologies, Swinburne University of Technology, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I57093077"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2345,"currency":"USD","value_usd":2345},"apc_paid":null,"fwci":2.7023,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.89807551,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"68","issue":"12","first_page":"7254","last_page":"7269"},"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/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.993399977684021,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9911999702453613,"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/notation","display_name":"Notation","score":0.6250845789909363},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.592658281326294},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5863701701164246},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49757006764411926},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.44153404235839844},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42226895689964294},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4197229743003845},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39637091755867004},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3008843958377838},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.17137417197227478},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.13144192099571228},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.12558728456497192}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.6250845789909363},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.592658281326294},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5863701701164246},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49757006764411926},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.44153404235839844},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42226895689964294},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4197229743003845},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39637091755867004},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3008843958377838},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.17137417197227478},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.13144192099571228},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.12558728456497192},{"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},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2023.3255140","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3255140","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1401407064","display_name":null,"funder_award_id":"62176192","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2575069074","display_name":null,"funder_award_id":"62088101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6157788252","display_name":null,"funder_award_id":"62173259","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W168810093","https://openalex.org/W1605258304","https://openalex.org/W1966790627","https://openalex.org/W1982431711","https://openalex.org/W1993869096","https://openalex.org/W2012812921","https://openalex.org/W2013726224","https://openalex.org/W2019343284","https://openalex.org/W2021812446","https://openalex.org/W2026337277","https://openalex.org/W2048949118","https://openalex.org/W2071226999","https://openalex.org/W2072899472","https://openalex.org/W2073460177","https://openalex.org/W2074796812","https://openalex.org/W2104412851","https://openalex.org/W2105333851","https://openalex.org/W2106715795","https://openalex.org/W2116066327","https://openalex.org/W2119741378","https://openalex.org/W2121117794","https://openalex.org/W2122624829","https://openalex.org/W2122627267","https://openalex.org/W2124541940","https://openalex.org/W2127799482","https://openalex.org/W2140655807","https://openalex.org/W2151685478","https://openalex.org/W2159499856","https://openalex.org/W2165744313","https://openalex.org/W2172813797","https://openalex.org/W2245872406","https://openalex.org/W2406068819","https://openalex.org/W2560814118","https://openalex.org/W2591577911","https://openalex.org/W2771477296","https://openalex.org/W2807424650","https://openalex.org/W2887308905","https://openalex.org/W2946038967","https://openalex.org/W2964287818","https://openalex.org/W2997710367","https://openalex.org/W3019585175","https://openalex.org/W3034299346","https://openalex.org/W4250589301","https://openalex.org/W6636308944","https://openalex.org/W6678846828","https://openalex.org/W6764194201"],"related_works":["https://openalex.org/W2504004674","https://openalex.org/W1595229445","https://openalex.org/W2498744856","https://openalex.org/W4390482104","https://openalex.org/W322408318","https://openalex.org/W149041114","https://openalex.org/W2963177394","https://openalex.org/W1965815883","https://openalex.org/W4313359513","https://openalex.org/W763418848"],"abstract_inverted_index":{"Previous":[0],"research":[1],"works":[2],"have":[3,82],"shown":[4],"that":[5,148],"adding":[6],"local":[7,57],"memory":[8,26,55],"can":[9],"accelerate":[10],"the":[11,20,31,48,62,69,73,78,85,90,94,98,105,110,125,131,137,149,152,154,159,162,172,177],"consensus.":[12],"It":[13],"is":[14,19],"natural":[15],"to":[16,46,60,84,170],"question":[17],"what":[18,29],"fastest":[21],"rate":[22,50,96,108,129,157],"achievable":[23],"by":[24],"the$M$-tap":[25],"acceleration,":[27],"and":[28,42,59,77,97,109,130,174],"are":[30,168],"corresponding":[32,111,132],"control":[33,63,99,113,134],"parameters.":[34],"This":[35],"article":[36],"introduces":[37],"a":[38,118,141],"set":[39,142],"of":[40,51,56,104,124,143,161,176],"effective":[41,66],"previously":[43],"unused":[44],"techniques":[45],"analyze":[47],"convergence":[49,95,107,128,156],"accelerated":[52],"consensus":[53],"with$M$-tap":[54],"nodes":[58],"design":[61],"protocols.":[64],"These":[65],"techniques,":[67],"including":[68],"Kharitonov":[70],"stability":[71,75,80],"theorem,":[72],"Routh":[74],"criterion,":[76],"robust":[79],"margin,":[81],"led":[83],"following":[86],"new":[87],"results:":[88],"first,":[89],"direct":[91],"link":[92],"between":[93],"parameters;":[100],"second,":[101],"explicit":[102],"formulas":[103,123],"optimal":[106,112,126,133,155],"parameters":[114,135],"for$M":[115],"\\leq":[116],"2$on":[117],"given":[119,169],"graph;":[120],"third,":[121],"analytic":[122],"worst-case":[127,163],"for":[136],"memory$M":[138],"\\geq":[139],"1$on":[140],"uncertain":[144],"graphs.":[145],"We":[146],"show":[147],"acceleration":[150],"with":[151],"memory$M=1$provides":[153],"in":[158],"sense":[160],"performance.":[164],"Several":[165],"numerical":[166],"examples":[167],"demonstrate":[171],"validity":[173],"performance":[175],"theoretical":[178],"results.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}