{"id":"https://openalex.org/W3204097666","doi":"https://doi.org/10.1109/tcyb.2021.3111896","title":"Matrix Measure-Based Projective Synchronization on Coupled Neural Networks With Clustering Trees","display_name":"Matrix Measure-Based Projective Synchronization on Coupled Neural Networks With Clustering Trees","publication_year":2021,"publication_date":"2021-09-29","ids":{"openalex":"https://openalex.org/W3204097666","doi":"https://doi.org/10.1109/tcyb.2021.3111896","mag":"3204097666","pmid":"https://pubmed.ncbi.nlm.nih.gov/34587107"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2021.3111896","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3111896","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108240198","display_name":"Chenhui Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chenhui Jiang","raw_affiliation_strings":["Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, China","institution_ids":["https://openalex.org/I111599522"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068085473","display_name":"Ze Tang","orcid":"https://orcid.org/0000-0001-7385-9316"},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ze Tang","raw_affiliation_strings":["Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, China","institution_ids":["https://openalex.org/I111599522"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029473053","display_name":"Ju H. Park","orcid":"https://orcid.org/0000-0002-0218-2333"},"institutions":[{"id":"https://openalex.org/I55240360","display_name":"Yeungnam University","ror":"https://ror.org/05yc6p159","country_code":"KR","type":"education","lineage":["https://openalex.org/I55240360"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Ju H. Park","raw_affiliation_strings":["Department of Electrical Engineering, Yeungnam University, Kyonsan, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Yeungnam University, Kyonsan, South Korea","institution_ids":["https://openalex.org/I55240360"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103216531","display_name":"Naixue Xiong","orcid":"https://orcid.org/0000-0002-0394-4635"},"institutions":[{"id":"https://openalex.org/I162709352","display_name":"Sul Ross State University","ror":"https://ror.org/03x7qhw59","country_code":"US","type":"education","lineage":["https://openalex.org/I162709352"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Neal N. Xiong","raw_affiliation_strings":["Department of Computer Science and Mathematics, Sul Ross State University, Alpine, TX, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Mathematics, Sul Ross State University, Alpine, TX, USA","institution_ids":["https://openalex.org/I162709352"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5108240198"],"corresponding_institution_ids":["https://openalex.org/I111599522"],"apc_list":null,"apc_paid":null,"fwci":3.6677,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.93267782,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"53","issue":"2","first_page":"1222","last_page":"1234"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","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/T11347","display_name":"Neural Networks Stability and Synchronization","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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9997000098228455,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.63576340675354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5801079273223877},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5462063550949097},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5392102003097534},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5191842317581177},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.5171746611595154},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4792049825191498},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.46384719014167786},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.4473350942134857},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4126870930194855},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.41230276226997375},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.35361871123313904},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3250883221626282},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18395811319351196},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12782517075538635},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09772777557373047},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09697309136390686}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.63576340675354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5801079273223877},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5462063550949097},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5392102003097534},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5191842317581177},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5171746611595154},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4792049825191498},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.46384719014167786},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.4473350942134857},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4126870930194855},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.41230276226997375},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35361871123313904},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3250883221626282},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18395811319351196},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12782517075538635},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09772777557373047},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09697309136390686},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2021.3111896","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3111896","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:34587107","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34587107","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":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1813677262","display_name":null,"funder_award_id":"2019R1A5A808029011","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G283044312","display_name":null,"funder_award_id":"B12018","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G4427061286","display_name":null,"funder_award_id":"2021T140280","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G6171741736","display_name":null,"funder_award_id":"BK20180599","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G6610335952","display_name":null,"funder_award_id":"2020M681484","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G7994999260","display_name":null,"funder_award_id":"61803180","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"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327912","display_name":"Higher Education Discipline Innovation Project","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1604173492","https://openalex.org/W1965644350","https://openalex.org/W1976175362","https://openalex.org/W1982122037","https://openalex.org/W2005773955","https://openalex.org/W2023285936","https://openalex.org/W2027949855","https://openalex.org/W2028110806","https://openalex.org/W2028322007","https://openalex.org/W2030308994","https://openalex.org/W2034311166","https://openalex.org/W2037446015","https://openalex.org/W2050240106","https://openalex.org/W2064397958","https://openalex.org/W2085172627","https://openalex.org/W2123168499","https://openalex.org/W2528533647","https://openalex.org/W2528703773","https://openalex.org/W2580848314","https://openalex.org/W2797063385","https://openalex.org/W2805454404","https://openalex.org/W2806379931","https://openalex.org/W2891753317","https://openalex.org/W2905032080","https://openalex.org/W2905163161","https://openalex.org/W2915403258","https://openalex.org/W2917084266","https://openalex.org/W2941833145","https://openalex.org/W2942474414","https://openalex.org/W2953787034","https://openalex.org/W2964331996","https://openalex.org/W2965803282","https://openalex.org/W2974342152","https://openalex.org/W2976016439","https://openalex.org/W2977436965","https://openalex.org/W2997495648","https://openalex.org/W2999882870","https://openalex.org/W3000510789","https://openalex.org/W3080490719","https://openalex.org/W3091804617","https://openalex.org/W3093055312","https://openalex.org/W3094756093","https://openalex.org/W3156914346","https://openalex.org/W3159098789","https://openalex.org/W3177035214","https://openalex.org/W6807787310"],"related_works":["https://openalex.org/W2022544890","https://openalex.org/W2394097730","https://openalex.org/W2043523297","https://openalex.org/W2475378634","https://openalex.org/W2113405914","https://openalex.org/W4312353617","https://openalex.org/W2260963831","https://openalex.org/W4235249401","https://openalex.org/W2331305369","https://openalex.org/W2076430825"],"abstract_inverted_index":{"This":[0],"article":[1],"mainly":[2],"studies":[3],"the":[4,25,28,32,38,53,75,95,98,102,107,114,117,127,134,138,145,149,157,169,180],"projective":[5,119],"quasisynchronization":[6,42,120],"for":[7,52,113,137],"an":[8],"array":[9],"of":[10,27,49,64,83,97,116,126,129,131,168,182],"nonlinear":[11],"heterogeneous-coupled":[12],"neural":[13,55,77],"networks":[14,56,78],"with":[15,57,79,141],"mixed":[16,142],"time-varying":[17,143],"delays":[18],"and":[19,31,40,106,133,148],"a":[20,44,173],"cluster-tree":[21],"topology":[22],"structure.":[23],"For":[24],"sake":[26],"mismatched":[29],"parameters":[30,132],"mutual":[33],"influence":[34],"among":[35],"distinct":[36],"clusters,":[37],"exponential":[39],"global":[41],"within":[43],"prescribed":[45],"error":[46,84,151,159],"bound":[47,152,160],"instead":[48],"complete":[50],"synchronization":[51,150,158],"coupled":[54],"clustering":[58],"trees":[59],"is":[60,68,161,176],"investigated.":[61],"A":[62],"kind":[63],"pinning":[65],"impulsive":[66,88,100,139,170],"controllers":[67],"designed,":[69],"which":[70],"will":[71],"be":[72],"imposed":[73],"on":[74,165],"selected":[76],"some":[80],"largest":[81],"norms":[82],"states":[85],"at":[86],"each":[87],"instant":[89],"in":[90,124],"different":[91,166],"clusters.":[92],"By":[93],"employing":[94],"concept":[96],"average":[99],"interval,":[101],"matrix":[103],"measure":[104],"method,":[105],"Lyapunov":[108],"stability":[109],"theorem,":[110],"sufficient":[111],"conditions":[112],"realization":[115],"cluster":[118],"are":[121,153],"derived.":[122],"Meanwhile,":[123],"terms":[125],"formula":[128],"variation":[130],"comparison":[135],"principle":[136],"systems":[140],"delays,":[144],"convergence":[146],"rate":[147],"precisely":[154],"estimated.":[155],"Furthermore,":[156],"efficiently":[162],"optimized":[163],"based":[164],"functions":[167],"effects.":[171],"Finally,":[172],"numerical":[174],"experiment":[175],"given":[177],"to":[178],"prove":[179],"results":[181],"theoretical":[183],"analysis.":[184]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}