{"id":"https://openalex.org/W4387319268","doi":"https://doi.org/10.1109/tac.2023.3321795","title":"Consensus Robustness Margins of First-Order Agents Over Undirected Graphs","display_name":"Consensus Robustness Margins of First-Order Agents Over Undirected Graphs","publication_year":2023,"publication_date":"2023-10-03","ids":{"openalex":"https://openalex.org/W4387319268","doi":"https://doi.org/10.1109/tac.2023.3321795"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3321795","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3321795","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/A5038424876","display_name":"Yanling Ding","orcid":"https://orcid.org/0000-0002-4663-1751"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Yanling Ding","raw_affiliation_strings":["Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045633477","display_name":"Dan Ma","orcid":"https://orcid.org/0000-0002-2563-1840"},"institutions":[{"id":"https://openalex.org/I4391767858","display_name":"State Key Laboratory of Synthetical Automation for Process Industries","ror":"https://ror.org/0380ng272","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767858","https://openalex.org/I9224756"]},{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dan Ma","raw_affiliation_strings":["College of Information Science and Engineering, State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756","https://openalex.org/I4391767858"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061390982","display_name":"Qi Mao","orcid":"https://orcid.org/0000-0001-8513-5577"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Qi Mao","raw_affiliation_strings":["Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009702637","display_name":"Hui Peng","orcid":"https://orcid.org/0000-0001-7954-9028"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Peng","raw_affiliation_strings":["School of Automation, Guangdong Provincial Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Guangdong Provincial Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100428821","display_name":"Jie Chen","orcid":"https://orcid.org/0000-0003-3171-1887"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Jie Chen","raw_affiliation_strings":["Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, China","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5038424876"],"corresponding_institution_ids":["https://openalex.org/I168719708"],"apc_list":null,"apc_paid":null,"fwci":1.4064,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.8268515,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"69","issue":"5","first_page":"3262","last_page":"3269"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9954000115394592,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/robustness","display_name":"Robustness (evolution)","score":0.7879667282104492},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7342096567153931},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.576744019985199},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.5460207462310791},{"id":"https://openalex.org/keywords/phase-margin","display_name":"Phase margin","score":0.5269590020179749},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4917326271533966},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.47337597608566284},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4187609851360321},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.4130396544933319},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.41082483530044556},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3473976254463196},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.28558558225631714},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2797001600265503},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1455390751361847},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12123993039131165},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11911490559577942},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.10466277599334717},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09498178958892822},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.08102497458457947}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7879667282104492},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7342096567153931},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.576744019985199},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.5460207462310791},{"id":"https://openalex.org/C81455027","wikidata":"https://www.wikidata.org/wiki/Q7180955","display_name":"Phase margin","level":5,"score":0.5269590020179749},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4917326271533966},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.47337597608566284},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4187609851360321},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.4130396544933319},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.41082483530044556},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3473976254463196},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.28558558225631714},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2797001600265503},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1455390751361847},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12123993039131165},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11911490559577942},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.10466277599334717},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09498178958892822},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.08102497458457947},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C145366948","wikidata":"https://www.wikidata.org/wiki/Q178947","display_name":"Operational amplifier","level":4,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2023.3321795","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3321795","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/G430256463","display_name":null,"funder_award_id":"61973060","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7037757187","display_name":null,"funder_award_id":"62121004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7334032231","display_name":null,"funder_award_id":"9380054","funder_id":"https://openalex.org/F4320309893","funder_display_name":"City University of Hong Kong"},{"id":"https://openalex.org/G8641311093","display_name":null,"funder_award_id":"61906047","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320309893","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1557452007","https://openalex.org/W1985431331","https://openalex.org/W1991963113","https://openalex.org/W2022895426","https://openalex.org/W2037594669","https://openalex.org/W2038066327","https://openalex.org/W2052140692","https://openalex.org/W2055212915","https://openalex.org/W2081235974","https://openalex.org/W2088448242","https://openalex.org/W2091140650","https://openalex.org/W2099689250","https://openalex.org/W2107396783","https://openalex.org/W2113281549","https://openalex.org/W2114871659","https://openalex.org/W2146890818","https://openalex.org/W2287065438","https://openalex.org/W2501046130","https://openalex.org/W2546880077","https://openalex.org/W2560814118","https://openalex.org/W2601452338","https://openalex.org/W2767615536","https://openalex.org/W2799899844","https://openalex.org/W2916745039","https://openalex.org/W2982377397","https://openalex.org/W2988149886","https://openalex.org/W3005166843","https://openalex.org/W3033073178","https://openalex.org/W3091427085","https://openalex.org/W3191833413","https://openalex.org/W4205598770","https://openalex.org/W4210578788","https://openalex.org/W4238591275","https://openalex.org/W4300922781","https://openalex.org/W4382935706"],"related_works":["https://openalex.org/W2784200061","https://openalex.org/W2784026553","https://openalex.org/W2511063373","https://openalex.org/W3127518712","https://openalex.org/W3088852461","https://openalex.org/W2113824758","https://openalex.org/W3046085425","https://openalex.org/W2118264468","https://openalex.org/W2963943213","https://openalex.org/W2335243741"],"abstract_inverted_index":{"This":[0],"paper":[1],"concerns":[2],"robust":[3],"consensus":[4,77,83,89,144],"problems":[5],"for":[6],"continuous-time":[7],"first-order":[8],"multi-agent":[9],"systems":[10],"with":[11],"respect":[12],"to":[13,62,73],"uncertain":[14],"gain":[15,68,76,137],"and":[16,49,69,80,111,124,138],"phase":[17,48,70,82,126,139],"of":[18,37,67,104,108],"the":[19,35,64,75,81,109,120,131,136],"agent's":[20,121],"frequency":[21],"response":[22],"varying":[23],"within":[24,97],"certain":[25],"ranges.":[26,99],"We":[27,60],"consider":[28],"dynamic":[29],"output":[30],"feedback":[31],"control":[32],"protocol":[33],"in":[34,44],"form":[36],"proportional-integral":[38],"(PI)":[39],"control.":[40],"The":[41],"agents":[42],"can":[43,90,145],"general":[45],"be":[46,91,148],"nonminimum":[47,125],"unstable":[50,122],"systems,":[51],"which":[52,117],"are":[53],"interconnected":[54],"by":[55,94,114],"an":[56],"undirected":[57],"graph":[58],"network.":[59],"seek":[61],"determine":[63],"largest":[65],"ranges":[66,141],"variations,":[71],"referred":[72],"as":[74,128,130],"margin":[78,84],"(GCM)":[79],"(PCM),":[85],"respectively,":[86],"so":[87,142],"that":[88,143],"achieved":[92],"robustly":[93],"PI":[95,115],"protocols":[96],"these":[98],"Our":[100],"main":[101],"results":[102],"consist":[103],"explicit":[105],"analytical":[106],"expressions":[107],"GCM":[110],"PCM":[112],"achievable":[113],"protocols,":[116],"demonstrate":[118],"how":[119],"pole":[123],"zero,":[127],"well":[129],"network":[132],"connectivity":[133],"may":[134],"confine":[135],"variation":[140],"or":[146],"cannot":[147],"maintained.":[149]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}