{"id":"https://openalex.org/W2159720386","doi":"https://doi.org/10.1109/ecc.2015.7330606","title":"A general criterion for synchronization of incrementally dissipative nonlinearly coupled agents","display_name":"A general criterion for synchronization of incrementally dissipative nonlinearly coupled agents","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W2159720386","doi":"https://doi.org/10.1109/ecc.2015.7330606","mag":"2159720386"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2015.7330606","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7330606","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.rug.nl/en/publications/f2a45a12-a27f-4237-9912-caeabef86ca2","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/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":["RU"],"is_corresponding":true,"raw_author_name":"Anton V. Proskurnikov","raw_affiliation_strings":["Research Institute of Technology and Management at the University of Groningen, State University and Institute for Problems of Mechanical Engineering (IPME) RAS, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Research Institute of Technology and Management at the University of Groningen, State University and Institute for Problems of Mechanical Engineering (IPME) RAS, St. Petersburg, Russia","institution_ids":["https://openalex.org/I4210142628"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100403518","display_name":"Fan Zhang","orcid":"https://orcid.org/0009-0004-1796-8488"},"institutions":[{"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":["RU"],"is_corresponding":false,"raw_author_name":"Fan Zhang","raw_affiliation_strings":["Research Institute of Technology and Management at the University of Groningen, State University and Institute for Problems of Mechanical Engineering (IPME) RAS, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Research Institute of Technology and Management at the University of Groningen, State University and Institute for Problems of Mechanical Engineering (IPME) RAS, St. Petersburg, Russia","institution_ids":["https://openalex.org/I4210142628"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021403340","display_name":"Ming Cao","orcid":"https://orcid.org/0000-0001-5472-562X"},"institutions":[{"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":["RU"],"is_corresponding":false,"raw_author_name":"Ming Cao","raw_affiliation_strings":["Research Institute of Technology and Management at the University of Groningen, State University and Institute for Problems of Mechanical Engineering (IPME) RAS, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Research Institute of Technology and Management at the University of Groningen, State University and Institute for Problems of Mechanical Engineering (IPME) RAS, St. Petersburg, Russia","institution_ids":["https://openalex.org/I4210142628"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078364973","display_name":"Jacquelien M.A. Scherpen","orcid":"https://orcid.org/0000-0002-3409-5760"},"institutions":[{"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":["RU"],"is_corresponding":false,"raw_author_name":"Jacquelien M.A. Scherpen","raw_affiliation_strings":["Research Institute of Technology and Management at the University of Groningen, State University and Institute for Problems of Mechanical Engineering (IPME) RAS, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Research Institute of Technology and Management at the University of Groningen, State University and Institute for Problems of Mechanical Engineering (IPME) RAS, St. Petersburg, Russia","institution_ids":["https://openalex.org/I4210142628"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081901820"],"corresponding_institution_ids":["https://openalex.org/I4210142628"],"apc_list":null,"apc_paid":null,"fwci":3.8538,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.94002776,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"581","last_page":"586"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","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":0.9994999766349792,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.7843672633171082},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6866097450256348},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6348743438720703},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.5877247452735901},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5200192928314209},{"id":"https://openalex.org/keywords/synchronization-networks","display_name":"Synchronization networks","score":0.5035642981529236},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48551273345947266},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.48314374685287476},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4459187686443329},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4404960572719574},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4316188097000122},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34256207942962646},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14069825410842896},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1136249303817749},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06917479634284973}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7843672633171082},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6866097450256348},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6348743438720703},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.5877247452735901},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5200192928314209},{"id":"https://openalex.org/C111097370","wikidata":"https://www.wikidata.org/wiki/Q10969923","display_name":"Synchronization networks","level":4,"score":0.5035642981529236},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48551273345947266},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.48314374685287476},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4459187686443329},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4404960572719574},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4316188097000122},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34256207942962646},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14069825410842896},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1136249303817749},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06917479634284973},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ecc.2015.7330606","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7330606","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.rug.nl:openaire/f2a45a12-a27f-4237-9912-caeabef86ca2","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/f2a45a12-a27f-4237-9912-caeabef86ca2","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, Zhang, F, Cao, M & Scherpen, J M A 2015, A General Criterion for Synchronization of Incrementally Dissipative Nonlinearly Coupled Agents. in Proceedings European Control Conference, Linz, Austria. European Union Control Association, pp. 581-586, European Control Conference 2015, Linz, Austria, 15/07/2015.","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:openaire/f2a45a12-a27f-4237-9912-caeabef86ca2","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/f2a45a12-a27f-4237-9912-caeabef86ca2","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, Zhang, F, Cao, M & Scherpen, J M A 2015, A General Criterion for Synchronization of Incrementally Dissipative Nonlinearly Coupled Agents. in Proceedings European Control Conference, Linz, Austria. European Union Control Association, pp. 581-586, European Control Conference 2015, Linz, Austria, 15/07/2015.","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W72772543","https://openalex.org/W147326039","https://openalex.org/W607068030","https://openalex.org/W613360614","https://openalex.org/W950991549","https://openalex.org/W1509185796","https://openalex.org/W1587744656","https://openalex.org/W1620414136","https://openalex.org/W1630241696","https://openalex.org/W1911035498","https://openalex.org/W1966796690","https://openalex.org/W1979472725","https://openalex.org/W1983062730","https://openalex.org/W1998526028","https://openalex.org/W2045734116","https://openalex.org/W2051669682","https://openalex.org/W2053538665","https://openalex.org/W2075621480","https://openalex.org/W2077418568","https://openalex.org/W2083787309","https://openalex.org/W2097063358","https://openalex.org/W2098127225","https://openalex.org/W2098974515","https://openalex.org/W2110216011","https://openalex.org/W2113028215","https://openalex.org/W2113281549","https://openalex.org/W2122366941","https://openalex.org/W2126703086","https://openalex.org/W2128928412","https://openalex.org/W2130518506","https://openalex.org/W2144267444","https://openalex.org/W2153841181","https://openalex.org/W2160643434","https://openalex.org/W2160932744","https://openalex.org/W2164727176","https://openalex.org/W2166103243","https://openalex.org/W2169942737","https://openalex.org/W2484117929","https://openalex.org/W3103350105","https://openalex.org/W3105273679","https://openalex.org/W6649970959"],"related_works":["https://openalex.org/W1586366284","https://openalex.org/W2063663506","https://openalex.org/W2297311436","https://openalex.org/W153843616","https://openalex.org/W2397248170","https://openalex.org/W2050769472","https://openalex.org/W3118528670","https://openalex.org/W2969606317","https://openalex.org/W2527776493","https://openalex.org/W2288531340"],"abstract_inverted_index":{"Whereas":[0],"synchronization":[1,40,64,143],"(consensus,":[2],"agreement)":[3],"in":[4,11,41,124,170],"linear":[5],"networks":[6,43],"has":[7],"been":[8],"thoroughly":[9],"studied":[10],"recent":[12],"years":[13],"up":[14],"to":[15,99,105,139,145,156],"certain":[16],"exhaustiveness,":[17],"reaching":[18],"a":[19,27,36,60,106,118],"synchrony":[20],"among":[21,165],"general":[22,37],"nonlinear":[23,45,110,149,168],"agents":[24,169],"still":[25],"remains":[26],"hard":[28],"open":[29],"problems.":[30],"In":[31],"this":[32],"paper,":[33],"we":[34],"propose":[35],"criteria":[38,144],"of":[39,51,62,75,88,91,109,148,159,176],"undirected":[42],"with":[44,126],"nodes,":[46],"based":[47],"on":[48],"the":[49,73,79,83,127,132,146],"idea":[50],"incremental":[52,67,128],"dissipativity.":[53],"We":[54],"show":[55],"that":[56],"our":[57,93],"result":[58],"implies":[59],"number":[61],"existing":[63,89,142],"criteria,":[65],"employing":[66],"Lyapunov":[68],"functions":[69],"(such":[70],"as":[71],"e.g.":[72],"sum":[74],"squared":[76],"deviations":[77],"between":[78],"agents'":[80],"states).":[81],"At":[82],"same":[84],"time,":[85],"unlike":[86],"most":[87],"results":[90],"synchronization,":[92],"criterion":[94,136],"is":[95],"applicable":[96],"not":[97],"only":[98],"linearly":[100],"coupling":[101],"maps,":[102],"but":[103],"also":[104],"wide":[107],"class":[108],"couplings,":[111],"provided":[112],"they":[113],"are":[114,167],"anti-symmetric":[115],"and":[116,131,173],"satisfy":[117],"quadratic":[119],"constraint,":[120],"which":[121],"should":[122],"be":[123,154],"correspondence":[125],"supply":[129],"rate":[130],"network":[133],"topology.":[134],"Our":[135],"thus":[137],"allows":[138],"extend":[140],"many":[141],"case":[147],"couplings;":[150],"moreover,":[151],"it":[152],"can":[153],"applied":[155],"some":[157],"classes":[158],"agent,":[160],"uncovered":[161],"by":[162],"previous":[163],"results,":[164],"them":[166],"Lurie":[171],"form":[172],"biochemical":[174],"oscillators":[175],"Goodwin's":[177],"type.":[178]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}