{"id":"https://openalex.org/W2051669682","doi":"https://doi.org/10.1109/tcyb.2014.2354519","title":"Popov-Type Criterion for Consensus in Nonlinearly Coupled Networks","display_name":"Popov-Type Criterion for Consensus in Nonlinearly Coupled Networks","publication_year":2014,"publication_date":"2014-09-17","ids":{"openalex":"https://openalex.org/W2051669682","doi":"https://doi.org/10.1109/tcyb.2014.2354519","mag":"2051669682","pmid":"https://pubmed.ncbi.nlm.nih.gov/25248208"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2014.2354519","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2014.2354519","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.rug.nl/en/publications/6d5b6903-d90a-45e1-96d1-f43f84aca57b","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081901820","display_name":"Anton V. Proskurnikov","orcid":"https://orcid.org/0000-0001-7065-7698"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]},{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]},{"id":"https://openalex.org/I4210142628","display_name":"Institute of Problems of Mechanical Engineering","ror":"https://ror.org/047pt5178","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210142628","https://openalex.org/I4210164537"]}],"countries":["NL","RU"],"is_corresponding":false,"raw_author_name":"Anton Proskurnikov","raw_affiliation_strings":["Faculty of Mathematics and Mechanics, Saint Petersburg State University and Institute for Problems in Mechanical Engineering RAS, Saint Petersburg, Russia","Institute of Technology and Management, University of Groningen, Groningen, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Mechanics, Saint Petersburg State University and Institute for Problems in Mechanical Engineering RAS, Saint Petersburg, Russia","institution_ids":["https://openalex.org/I172901346","https://openalex.org/I4210142628"]},{"raw_affiliation_string":"Institute of Technology and Management, University of Groningen, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027979474","display_name":"Alexey S. Matveev","orcid":"https://orcid.org/0000-0001-9079-1720"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexey Matveev","raw_affiliation_strings":["Faculty of Mathematics and Mechanics, Saint Petersburg State University, Saint Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Mechanics, Saint Petersburg State University, Saint Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":4.88,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.95144509,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"45","issue":"8","first_page":"1537","last_page":"1548"},"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":0.9990000128746033,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.983299970626831,"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/mathematics","display_name":"Mathematics","score":0.625327467918396},{"id":"https://openalex.org/keywords/circle-criterion","display_name":"Circle criterion","score":0.6145001649856567},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4961910843849182},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4614509344100952},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.457878053188324},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.42986029386520386},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3458365201950073},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3251659572124481},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31940534710884094},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.23055022954940796},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.19663766026496887},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.132503479719162},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11207336187362671},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08729201555252075},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06937816739082336},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06357264518737793}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.625327467918396},{"id":"https://openalex.org/C65521940","wikidata":"https://www.wikidata.org/wiki/Q5121443","display_name":"Circle criterion","level":4,"score":0.6145001649856567},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4961910843849182},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4614509344100952},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.457878053188324},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.42986029386520386},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3458365201950073},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3251659572124481},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31940534710884094},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.23055022954940796},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.19663766026496887},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.132503479719162},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11207336187362671},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08729201555252075},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06937816739082336},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06357264518737793},{"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tcyb.2014.2354519","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2014.2354519","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:25248208","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/25248208","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":"Journal Article"},{"id":"pmh:oai:pure.rug.nl:openaire/6d5b6903-d90a-45e1-96d1-f43f84aca57b","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/6d5b6903-d90a-45e1-96d1-f43f84aca57b","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proskurnikov, A & Matveev, A 2015, 'Popov-Type Criterion for Consensus in Nonlinearly Coupled Networks', IEEE Transactions on Cybernetics, vol. 45, no. 8, pp. 1537-1548. https://doi.org/10.1109/TCYB.2014.2354519","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/6d5b6903-d90a-45e1-96d1-f43f84aca57b","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/6d5b6903-d90a-45e1-96d1-f43f84aca57b","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proskurnikov, A & Matveev, A 2015, 'Popov-Type Criterion for Consensus in Nonlinearly Coupled Networks', IEEE Transactions on Cybernetics, vol. 45, no. 8, pp. 1537-1548. https://doi.org/10.1109/TCYB.2014.2354519","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:openaire/6d5b6903-d90a-45e1-96d1-f43f84aca57b","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/6d5b6903-d90a-45e1-96d1-f43f84aca57b","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proskurnikov, A & Matveev, A 2015, 'Popov-Type Criterion for Consensus in Nonlinearly Coupled Networks', IEEE Transactions on Cybernetics, vol. 45, no. 8, pp. 1537-1548. https://doi.org/10.1109/TCYB.2014.2354519","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1254651386","display_name":null,"funder_award_id":"ERCStG-307207","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G4411216289","display_name":null,"funder_award_id":"13-08-01014","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"},{"id":"https://openalex.org/G596991016","display_name":null,"funder_award_id":"12-01-00808","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"},{"id":"https://openalex.org/G7013424292","display_name":null,"funder_award_id":"14-08-01015","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"}],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W72772543","https://openalex.org/W299695345","https://openalex.org/W589398117","https://openalex.org/W607068030","https://openalex.org/W613360614","https://openalex.org/W626725324","https://openalex.org/W1509185796","https://openalex.org/W1578099820","https://openalex.org/W1630241696","https://openalex.org/W1975541135","https://openalex.org/W1988406225","https://openalex.org/W1991087889","https://openalex.org/W1992435968","https://openalex.org/W1993148254","https://openalex.org/W1999106917","https://openalex.org/W2003432214","https://openalex.org/W2006736427","https://openalex.org/W2014530074","https://openalex.org/W2015761732","https://openalex.org/W2017429699","https://openalex.org/W2024571424","https://openalex.org/W2024708635","https://openalex.org/W2036364567","https://openalex.org/W2038370511","https://openalex.org/W2066647300","https://openalex.org/W2077418568","https://openalex.org/W2083787309","https://openalex.org/W2097063358","https://openalex.org/W2097944741","https://openalex.org/W2098127225","https://openalex.org/W2111366290","https://openalex.org/W2111838183","https://openalex.org/W2115856428","https://openalex.org/W2125668987","https://openalex.org/W2126703086","https://openalex.org/W2128928412","https://openalex.org/W2130518506","https://openalex.org/W2132734429","https://openalex.org/W2139615080","https://openalex.org/W2145192525","https://openalex.org/W2150312211","https://openalex.org/W2158401151","https://openalex.org/W2160643434","https://openalex.org/W2160932744","https://openalex.org/W2164727176","https://openalex.org/W2166103243","https://openalex.org/W2169942737","https://openalex.org/W2475531743","https://openalex.org/W2484117929","https://openalex.org/W2490239771","https://openalex.org/W4213122241","https://openalex.org/W4234406933","https://openalex.org/W4241000863","https://openalex.org/W4300754928"],"related_works":["https://openalex.org/W2086397253","https://openalex.org/W2133122801","https://openalex.org/W600422426","https://openalex.org/W2007156430","https://openalex.org/W2170882281","https://openalex.org/W3081478936","https://openalex.org/W2130216035","https://openalex.org/W2785612136","https://openalex.org/W1539291615","https://openalex.org/W1988224651"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"consensus":[3,49],"problems":[4],"in":[5],"nonlinearly":[6],"coupled":[7],"networks":[8],"of":[9],"dynamic":[10],"agents":[11],"described":[12],"by":[13],"a":[14],"common":[15],"and":[16,39,56],"arbitrary":[17],"linear":[18],"model.":[19],"Interagent":[20],"interaction":[21,40],"rules":[22],"are":[23,42],"uncertain":[24],"but":[25],"satisfy":[26],"the":[27,36,58],"standard":[28],"sector":[29,33],"condition":[30],"with":[31],"known":[32],"bounds;":[34],"both":[35],"agent's":[37],"model":[38],"topology":[41],"time-invariant.":[43],"A":[44],"novel":[45],"frequency-domain":[46],"criterion":[47],"for":[48],"is":[50,53],"offered":[51],"that":[52],"similar":[54],"to":[55],"extends":[57],"classical":[59],"Popov's":[60],"absolute":[61],"stability":[62],"criterion.":[63]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
