{"id":"https://openalex.org/W2908851336","doi":"https://doi.org/10.1109/access.2019.2893641","title":"Multi-Synchronization of Stochastic Coupled Multi-Stable Neural Networks With Time-Varying Delay by Impulsive Control","display_name":"Multi-Synchronization of Stochastic Coupled Multi-Stable Neural Networks With Time-Varying Delay by Impulsive Control","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2908851336","doi":"https://doi.org/10.1109/access.2019.2893641","mag":"2908851336"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2893641","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2893641","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08616763.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08616763.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015337422","display_name":"Xifeng Li","orcid":"https://orcid.org/0000-0002-0802-5435"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xifeng Li","raw_affiliation_strings":["School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-0802-5435","affiliations":[{"raw_affiliation_string":"School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052255539","display_name":"Dongjie Bi","orcid":"https://orcid.org/0000-0002-8995-5123"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongjie Bi","raw_affiliation_strings":["School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101630576","display_name":"Xuan Xie","orcid":"https://orcid.org/0000-0003-2155-7492"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuan Xie","raw_affiliation_strings":["School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033082360","display_name":"Yongle Xie","orcid":"https://orcid.org/0000-0001-5019-0007"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongle Xie","raw_affiliation_strings":["School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I150229711"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.1156,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.79425147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"7","issue":null,"first_page":"15641","last_page":"15653"},"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":0.9936000108718872,"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":0.9921000003814697,"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/synchronization","display_name":"Synchronization (alternating current)","score":0.6650960445404053},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6524842977523804},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6253766417503357},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5940607786178589},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.49917078018188477},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.46512341499328613},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.453769326210022},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.42538049817085266},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37960565090179443},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3365931510925293},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3333582282066345},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1671135127544403},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11383265256881714},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0942130982875824}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6650960445404053},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6524842977523804},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6253766417503357},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5940607786178589},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.49917078018188477},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.46512341499328613},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.453769326210022},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.42538049817085266},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37960565090179443},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3365931510925293},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3333582282066345},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1671135127544403},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11383265256881714},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0942130982875824},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2893641","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2893641","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08616763.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:27b23035c47e419a9713b8e9cbbd0446","is_oa":false,"landing_page_url":"https://doaj.org/article/27b23035c47e419a9713b8e9cbbd0446","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 15641-15653 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2893641","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2893641","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08616763.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2623518609","display_name":null,"funder_award_id":"Grant 61801089","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2742809455","display_name":null,"funder_award_id":"Grant 61601096","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3782178544","display_name":null,"funder_award_id":"Grant 61701095","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5762377292","display_name":null,"funder_award_id":"61801089","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6178384297","display_name":null,"funder_award_id":"61701095","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7024534440","display_name":null,"funder_award_id":"61601096","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":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2908851336.pdf","grobid_xml":"https://content.openalex.org/works/W2908851336.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W626840088","https://openalex.org/W1976005200","https://openalex.org/W1984287998","https://openalex.org/W2000806524","https://openalex.org/W2009702937","https://openalex.org/W2013248136","https://openalex.org/W2018418257","https://openalex.org/W2019942458","https://openalex.org/W2024178389","https://openalex.org/W2044267694","https://openalex.org/W2045104247","https://openalex.org/W2056717940","https://openalex.org/W2057645973","https://openalex.org/W2058247547","https://openalex.org/W2062210787","https://openalex.org/W2063246107","https://openalex.org/W2064446218","https://openalex.org/W2065126584","https://openalex.org/W2079847118","https://openalex.org/W2087650869","https://openalex.org/W2091440780","https://openalex.org/W2109952733","https://openalex.org/W2123539377","https://openalex.org/W2126341830","https://openalex.org/W2139354882","https://openalex.org/W2150344394","https://openalex.org/W2153765205","https://openalex.org/W2159468916","https://openalex.org/W2169421521","https://openalex.org/W2171820558","https://openalex.org/W2312771923","https://openalex.org/W2321236841","https://openalex.org/W2333872718","https://openalex.org/W2343011127","https://openalex.org/W2408559562","https://openalex.org/W2528533647","https://openalex.org/W2538251064","https://openalex.org/W2546592570","https://openalex.org/W2571251296","https://openalex.org/W2576254933","https://openalex.org/W2583050531","https://openalex.org/W2598353255","https://openalex.org/W2625320179","https://openalex.org/W2746162993","https://openalex.org/W2799436239","https://openalex.org/W2811065464","https://openalex.org/W6739019720"],"related_works":["https://openalex.org/W1593898832","https://openalex.org/W2142048021","https://openalex.org/W2134075948","https://openalex.org/W2380573388","https://openalex.org/W2383529437","https://openalex.org/W2369636957","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590"],"abstract_inverted_index":{"Motivated":[0],"by":[1,73,93,139],"the":[2,5,28,44,68,85,103,115,134],"fact":[3],"that":[4,49],"multi-stable":[6],"property":[7],"is":[8,25,129,137],"becoming":[9],"more":[10,12,55],"and":[11,19,72],"important":[13],"both":[14],"in":[15,20,102],"biological":[16],"neural":[17,35],"networks":[18,36],"artificial":[21],"intelligence,":[22],"this":[23],"paper":[24],"concerned":[26],"with":[27,38,123],"multi-synchronization":[29,83],"problem":[30],"of":[31,84,95,105,126,133],"stochastic":[32],"coupled":[33],"multi-stable-state":[34],"(SCMNNs)":[37],"time-varying":[39,87,120],"delay.":[40],"First,":[41],"we":[42],"give":[43],"sufficient":[45,80,97],"conditions":[46,81],"to":[47],"guarantee":[48],"every":[50],"sub-system":[51],"or":[52,60],"sub-network":[53],"owns":[54],"than":[56],"one":[57],"stable":[58,63],"points":[59],"locally":[61],"exponential":[62],"periodic":[64],"orbits.":[65],"Second,":[66],"via":[67],"impulsive":[69,116],"control":[70,111],"strategy":[71],"choosing":[74],"an":[75],"appropriate":[76],"Lyapunov":[77],"function,":[78],"some":[79],"for":[82,119],"controlled":[86],"delayed":[88,121],"SCMNNs":[89,122],"are":[90,100],"achieved.":[91],"Moreover,":[92],"use":[94],"obtained":[96],"conditions,":[98],"which":[99],"expressed":[101],"form":[104],"linear":[106],"matrix":[107],"inequalities,":[108],"a":[109,140],"novel":[110],"protocol":[112],"based":[113],"on":[114],"system":[117],"theory":[118],"two":[124],"types":[125],"topological":[127],"structure":[128],"devised.":[130],"The":[131],"validity":[132],"proposed":[135],"results":[136],"verified":[138],"numerical":[141],"simulation.":[142]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}