{"id":"https://openalex.org/W2888119068","doi":"https://doi.org/10.1109/tcyb.2018.2861822","title":"Pinning Synchronization of Multiplex Delayed Networks With Stochastic Perturbations","display_name":"Pinning Synchronization of Multiplex Delayed Networks With Stochastic Perturbations","publication_year":2018,"publication_date":"2018-08-20","ids":{"openalex":"https://openalex.org/W2888119068","doi":"https://doi.org/10.1109/tcyb.2018.2861822","mag":"2888119068","pmid":"https://pubmed.ncbi.nlm.nih.gov/30130248"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2018.2861822","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2018.2861822","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/A5015894546","display_name":"Xueyi Zhao","orcid":"https://orcid.org/0000-0002-8232-5903"},"institutions":[{"id":"https://openalex.org/I154833797","display_name":"Lingnan Normal University","ror":"https://ror.org/01h6ecw13","country_code":"CN","type":"education","lineage":["https://openalex.org/I154833797"]},{"id":"https://openalex.org/I4387930275","display_name":"Hanjiang Normal University","ror":"https://ror.org/02caqw325","country_code":null,"type":"education","lineage":["https://openalex.org/I4387930275"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xueyi Zhao","raw_affiliation_strings":["Department of Mathematics and Finance, Hanjiang Normal University, Shiyan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Finance, Hanjiang Normal University, Shiyan, China","institution_ids":["https://openalex.org/I154833797","https://openalex.org/I4387930275"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101487500","display_name":"Jin Zhou","orcid":"https://orcid.org/0000-0002-8607-8268"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin Zhou","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087098274","display_name":"Jun-an Lu","orcid":"https://orcid.org/0000-0001-5109-739X"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun-An Lu","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":6.0698,"has_fulltext":false,"cited_by_count":91,"citation_normalized_percentile":{"value":0.96262042,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"49","issue":"12","first_page":"4262","last_page":"4270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","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/T11347","display_name":"Neural Networks Stability and Synchronization","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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.994700014591217,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9868000149726868,"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/multiplex","display_name":"Multiplex","score":0.7209407687187195},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.7055752277374268},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6049537658691406},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.5513623952865601},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5286662578582764},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.519631564617157},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.48768389225006104},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.47153669595718384},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45682528614997864},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.445074200630188},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4227466583251953},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.41730397939682007},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39048925042152405},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.31554728746414185},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2649446725845337},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16401055455207825},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15423011779785156},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11257141828536987},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11207142472267151},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09363862872123718},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.06391963362693787}],"concepts":[{"id":"https://openalex.org/C2781188995","wikidata":"https://www.wikidata.org/wiki/Q6934982","display_name":"Multiplex","level":2,"score":0.7209407687187195},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7055752277374268},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6049537658691406},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.5513623952865601},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5286662578582764},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.519631564617157},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.48768389225006104},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.47153669595718384},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45682528614997864},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.445074200630188},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4227466583251953},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.41730397939682007},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39048925042152405},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.31554728746414185},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2649446725845337},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16401055455207825},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15423011779785156},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11257141828536987},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11207142472267151},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09363862872123718},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.06391963362693787},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2018.2861822","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2018.2861822","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:30130248","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/30130248","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4454356252","display_name":null,"funder_award_id":"61374173","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7632435874","display_name":null,"funder_award_id":"61773294","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7736959020","display_name":null,"funder_award_id":"61773175","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1512304705","https://openalex.org/W1578135654","https://openalex.org/W1951410480","https://openalex.org/W1966811233","https://openalex.org/W1987881260","https://openalex.org/W1993230952","https://openalex.org/W2006260478","https://openalex.org/W2008620264","https://openalex.org/W2027422523","https://openalex.org/W2041833126","https://openalex.org/W2049119205","https://openalex.org/W2060907800","https://openalex.org/W2062248033","https://openalex.org/W2064556559","https://openalex.org/W2075069296","https://openalex.org/W2075408371","https://openalex.org/W2075489015","https://openalex.org/W2113584844","https://openalex.org/W2125968149","https://openalex.org/W2129044508","https://openalex.org/W2134679786","https://openalex.org/W2136662157","https://openalex.org/W2141455508","https://openalex.org/W2157190392","https://openalex.org/W2159826488","https://openalex.org/W2161532742","https://openalex.org/W2170766502","https://openalex.org/W2192152407","https://openalex.org/W2283907552","https://openalex.org/W2528157742","https://openalex.org/W2592852902","https://openalex.org/W2766570496","https://openalex.org/W2801157609","https://openalex.org/W3105968770","https://openalex.org/W3111253645","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W1892888752","https://openalex.org/W2048727068","https://openalex.org/W2150442046","https://openalex.org/W2388734098","https://openalex.org/W2385412102","https://openalex.org/W2886869858","https://openalex.org/W2353355202","https://openalex.org/W2392442938","https://openalex.org/W2771006323","https://openalex.org/W1987881260"],"abstract_inverted_index":{"As":[0],"the":[1,9,16,36,47,52,61,71,109,116,127,143,146],"monoplex":[2],"network":[3,18,38,54],"has":[4,23],"its":[5],"limitations":[6],"in":[7,27,99],"describing":[8],"real":[10],"world,":[11],"a":[12,100],"new":[13],"framework":[14],"called":[15],"multiplex":[17,37,53,101],"is":[19,55,84,106],"put":[20],"forward":[21],"and":[22,42,70,78,121,124,136],"received":[24],"much":[25],"attention":[26],"recent":[28],"years.":[29],"This":[30],"paper":[31],"focuses":[32],"on":[33,60],"synchronization":[34,79],"of":[35,51,56,111,119,130,145],"with":[39,115,126],"multiple":[40],"delays":[41],"stochastic":[43,66],"perturbations.":[44],"Due":[45],"to":[46,141],"complexity,":[48],"pinning":[49],"control":[50,76],"particular":[57],"interest.":[58],"Based":[59],"LaSalle-type":[62],"invariance":[63],"principle":[64],"for":[65],"differential":[67],"delay":[68],"equations":[69],"Lyapunov":[72],"stability":[73],"theory,":[74],"some":[75,88],"schemes":[77],"criteria":[80],"are":[81,139],"obtained.":[82],"It":[83],"concluded":[85],"that":[86,108],"under":[87],"mild":[89],"conditions,":[90],"one":[91],"can":[92],"determine":[93],"which":[94],"nodes":[95,113],"should":[96],"be":[97],"pinned":[98,112],"network.":[102],"In":[103],"addition,":[104],"it":[105],"found":[107],"number":[110],"increases":[114],"varying":[117,128],"interval":[118,129],"noise":[120],"time":[122],"delay,":[123],"decreases":[125],"intralayer":[131],"coupling":[132],"strength.":[133],"Some":[134],"two-layer":[135],"three-layer":[137],"networks":[138],"employed":[140],"validate":[142],"effectiveness":[144],"proposed":[147],"algorithm.":[148]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":4}],"updated_date":"2026-08-23T07:36:19.812096","created_date":"2025-10-10T00:00:00"}