{"id":"https://openalex.org/W2955394380","doi":"https://doi.org/10.23919/acc.2019.8815369","title":"Localized high-order consensus destabilizes large-scale networks","display_name":"Localized high-order consensus destabilizes large-scale networks","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2955394380","doi":"https://doi.org/10.23919/acc.2019.8815369","mag":"2955394380"},"language":"en","primary_location":{"id":"doi:10.23919/acc.2019.8815369","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2019.8815369","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1907.02465","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003146558","display_name":"Emma Tegling","orcid":null},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Emma Tegling","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, Stockholm, SE, 100 44, Sweden","School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, Stockholm, SE-100 44, Sweden"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, Stockholm, SE, 100 44, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, Stockholm, SE-100 44, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071239059","display_name":"Bassam Bamieh","orcid":"https://orcid.org/0000-0001-9237-4613"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bassam Bamieh","raw_affiliation_strings":["University of California at Santa Barbara, Santa Barbara, CA, 93106, USA","University of California at Santa Barbara, Santa Barbara, CA 93106 USA,"],"affiliations":[{"raw_affiliation_string":"University of California at Santa Barbara, Santa Barbara, CA, 93106, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"University of California at Santa Barbara, Santa Barbara, CA 93106 USA,","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056120878","display_name":"Henrik Sandberg","orcid":"https://orcid.org/0000-0003-1835-2963"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Henrik Sandberg","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, Stockholm, SE, 100 44, Sweden","School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, Stockholm, SE-100 44, Sweden"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, Stockholm, SE, 100 44, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, Stockholm, SE-100 44, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003146558"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":0.38832944,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.6220208,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"760","last_page":"765"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9983000159263611,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9980000257492065,"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/algebraic-connectivity","display_name":"Algebraic connectivity","score":0.7155109643936157},{"id":"https://openalex.org/keywords/algebraic-graph-theory","display_name":"Algebraic graph theory","score":0.6732507944107056},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.665733814239502},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.5926162004470825},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5675728917121887},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.556280255317688},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5171756148338318},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.5146456956863403},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5146435499191284},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.4404029846191406},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.43368983268737793},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43032175302505493},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.42822617292404175},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4273656904697418},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.41144731640815735},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3947162330150604},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.37831979990005493},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37333640456199646},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08228856325149536},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08149585127830505}],"concepts":[{"id":"https://openalex.org/C7948225","wikidata":"https://www.wikidata.org/wiki/Q4723998","display_name":"Algebraic connectivity","level":4,"score":0.7155109643936157},{"id":"https://openalex.org/C25799778","wikidata":"https://www.wikidata.org/wiki/Q4724003","display_name":"Algebraic graph theory","level":3,"score":0.6732507944107056},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.665733814239502},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.5926162004470825},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5675728917121887},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.556280255317688},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5171756148338318},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.5146456956863403},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5146435499191284},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.4404029846191406},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43368983268737793},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43032175302505493},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.42822617292404175},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4273656904697418},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.41144731640815735},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3947162330150604},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.37831979990005493},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37333640456199646},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08228856325149536},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08149585127830505},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.23919/acc.2019.8815369","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc.2019.8815369","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 American Control Conference (ACC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1907.02465","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.02465","pdf_url":"https://arxiv.org/pdf/1907.02465","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2955394380","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1907.02465.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1907.02465","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1907.02465","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1907.02465","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.02465","pdf_url":"https://arxiv.org/pdf/1907.02465","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2955394380.pdf"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W53424100","https://openalex.org/W244827953","https://openalex.org/W391578156","https://openalex.org/W1482174177","https://openalex.org/W1977317053","https://openalex.org/W1998200279","https://openalex.org/W2002512050","https://openalex.org/W2016910787","https://openalex.org/W2021821379","https://openalex.org/W2067976091","https://openalex.org/W2072718225","https://openalex.org/W2107396783","https://openalex.org/W2124027743","https://openalex.org/W2129248505","https://openalex.org/W2146890818","https://openalex.org/W2151417892","https://openalex.org/W2153988305","https://openalex.org/W2160643434","https://openalex.org/W2165744313","https://openalex.org/W2200304227","https://openalex.org/W2528319639","https://openalex.org/W2610857016","https://openalex.org/W2736101375","https://openalex.org/W2963244652","https://openalex.org/W2963484379","https://openalex.org/W3022762247","https://openalex.org/W3104175967"],"related_works":["https://openalex.org/W2972711374","https://openalex.org/W2950001460","https://openalex.org/W2963894976","https://openalex.org/W3012090943","https://openalex.org/W2225054234","https://openalex.org/W2951943114","https://openalex.org/W2101207953","https://openalex.org/W2744575178","https://openalex.org/W3137550455","https://openalex.org/W2952059684","https://openalex.org/W2735665013","https://openalex.org/W2949567741","https://openalex.org/W1976329386","https://openalex.org/W2293971114","https://openalex.org/W3211943077","https://openalex.org/W2953068033","https://openalex.org/W3103798866","https://openalex.org/W3045663689","https://openalex.org/W2963943319","https://openalex.org/W2952616327"],"abstract_inverted_index":{"We":[0,35,148],"study":[1],"the":[2,10,74,86,109,174],"problem":[3],"of":[4,33,47,56,101,151],"distributed":[5],"consensus":[6,39,53],"in":[7,25,54,99,118,166],"networks":[8,55],"where":[9,20,153,162],"local":[11],"agents":[12,49,82],"have":[13],"high-order":[14],"($n\\ge":[15],"3$)":[16],"integrator":[17],"dynamics,":[18],"and":[19,157],"all":[21,126],"feedback":[22,175],"is":[23,114,176],"localized":[24],"that":[26,37,89,107],"each":[27],"agent":[28],"has":[29],"a":[30,62,67,93],"bounded":[31],"number":[32],"neighbors.":[34],"prove":[36],"no":[38],"algorithm":[40,64,76],"based":[41],"on":[42,133],"relative":[43],"differences":[44],"between":[45],"states":[46],"neighboring":[48],"can":[50],"then":[51],"achieve":[52],"any":[57,167],"size.":[58,96,120],"That":[59],"is,":[60,108],"while":[61],"given":[63],"may":[65],"allow":[66],"small":[68],"network":[69,87,102,119,170],"to":[70,72,79,85,125],"converge":[71],"consensus,":[73,161],"same":[75],"will":[77,164],"lead":[78],"instability":[80,163],"if":[81],"are":[83],"added":[84],"so":[88],"it":[90],"grows":[91],"beyond":[92],"certain":[94],"finite":[95],"This":[97,121],"holds":[98,139],"classes":[100,150],"graphs":[103,143,152],"whose":[104],"algebraic":[105],"connectivity,":[106],"smallest":[110],"non-zero":[111],"Laplacian":[112],"eigenvalue,":[113],"decreasing":[115],"towards":[116],"zero":[117],"applies,":[122],"for":[123,136,141],"example,":[124],"planar":[127],"graphs.":[128],"Our":[129],"proof,":[130],"which":[131],"relies":[132],"Routh-Hurwitz":[134],"criteria":[135],"complex-valued":[137],"polynomials,":[138],"true":[140],"directed":[142],"with":[144],"normal":[145],"graph":[146],"Laplacians.":[147],"survey":[149],"this":[154],"issue":[155],"arises,":[156],"also":[158],"discuss":[159],"leader-follower":[160],"arise":[165],"growing,":[168],"undirected":[169],"as":[171,173],"long":[172],"localized.":[177]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}