{"id":"https://openalex.org/W4312846246","doi":"https://doi.org/10.1109/tsmc.2022.3220650","title":"Intermittent Boundary Control for Synchronization of Fractional Delay Neural Networks With Diffusion Terms","display_name":"Intermittent Boundary Control for Synchronization of Fractional Delay Neural Networks With Diffusion Terms","publication_year":2022,"publication_date":"2022-11-18","ids":{"openalex":"https://openalex.org/W4312846246","doi":"https://doi.org/10.1109/tsmc.2022.3220650"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2022.3220650","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2022.3220650","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5075284628","display_name":"Xiaozhen Liu","orcid":"https://orcid.org/0000-0002-0136-9411"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]},{"id":"https://openalex.org/I4210158823","display_name":"Weihai Science and Technology Bureau","ror":"https://ror.org/05mx4xx46","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210158823"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Zhen Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Shandong University Weihai, Weihai, China"],"raw_orcid":"https://orcid.org/0000-0002-0136-9411","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Shandong University Weihai, Weihai, China","institution_ids":["https://openalex.org/I154099455","https://openalex.org/I4210158823"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009683576","display_name":"Kai\u2010Ning Wu","orcid":"https://orcid.org/0000-0003-4122-9832"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai-Ning Wu","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology Weihai, Weihai, China"],"raw_orcid":"https://orcid.org/0000-0003-4122-9832","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology Weihai, Weihai, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084993350","display_name":"Choon Ki Ahn","orcid":"https://orcid.org/0000-0003-0993-9658"},"institutions":[{"id":"https://openalex.org/I197347611","display_name":"Korea University","ror":"https://ror.org/047dqcg40","country_code":"KR","type":"education","lineage":["https://openalex.org/I197347611"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Choon Ki Ahn","raw_affiliation_strings":["School of Electrical Engineering, Korea University, Seoul, South Korea"],"raw_orcid":"https://orcid.org/0000-0003-0993-9658","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Korea University, Seoul, South Korea","institution_ids":["https://openalex.org/I197347611"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.058,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.91615147,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"53","issue":"5","first_page":"2900","last_page":"2912"},"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9965000152587891,"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"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.996399998664856,"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/synchronization","display_name":"Synchronization (alternating current)","score":0.7036435008049011},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6853325366973877},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5964370369911194},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.5656275153160095},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.5502148866653442},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5471970438957214},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.5394057035446167},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5378950834274292},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5070865154266357},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.45701366662979126},{"id":"https://openalex.org/keywords/state-observer","display_name":"State observer","score":0.45416268706321716},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4134979844093323},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.349447101354599},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.19950926303863525},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1105239987373352},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10971406102180481},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09597331285476685},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07831630110740662}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7036435008049011},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6853325366973877},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5964370369911194},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.5656275153160095},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.5502148866653442},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5471970438957214},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.5394057035446167},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5378950834274292},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5070865154266357},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.45701366662979126},{"id":"https://openalex.org/C3031470","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State observer","level":3,"score":0.45416268706321716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4134979844093323},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.349447101354599},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.19950926303863525},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1105239987373352},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10971406102180481},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09597331285476685},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07831630110740662},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2022.3220650","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2022.3220650","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W285212305","https://openalex.org/W1968134101","https://openalex.org/W1992435968","https://openalex.org/W2003560775","https://openalex.org/W2020174839","https://openalex.org/W2030959812","https://openalex.org/W2031988165","https://openalex.org/W2056717940","https://openalex.org/W2063133641","https://openalex.org/W2103233901","https://openalex.org/W2142366499","https://openalex.org/W2751488646","https://openalex.org/W2758339087","https://openalex.org/W2765924212","https://openalex.org/W2784053309","https://openalex.org/W2787959293","https://openalex.org/W2791235767","https://openalex.org/W2803051819","https://openalex.org/W2805195358","https://openalex.org/W2808394202","https://openalex.org/W2810650995","https://openalex.org/W2894220323","https://openalex.org/W2897002627","https://openalex.org/W2904005722","https://openalex.org/W2915685599","https://openalex.org/W2941580656","https://openalex.org/W2952000941","https://openalex.org/W2962715862","https://openalex.org/W2968918250","https://openalex.org/W2977762471","https://openalex.org/W2996560667","https://openalex.org/W2997622810","https://openalex.org/W3007442310","https://openalex.org/W3032786328","https://openalex.org/W3040638608","https://openalex.org/W3043881975","https://openalex.org/W3046436250","https://openalex.org/W3079481082","https://openalex.org/W3085896112","https://openalex.org/W3087579456","https://openalex.org/W3110474497","https://openalex.org/W3124421346","https://openalex.org/W3151411732","https://openalex.org/W3156716921","https://openalex.org/W3156823496","https://openalex.org/W3183144077","https://openalex.org/W3209385933","https://openalex.org/W3210839039","https://openalex.org/W3212972517"],"related_works":["https://openalex.org/W2075693786","https://openalex.org/W2208893985","https://openalex.org/W2394201814","https://openalex.org/W2113447317","https://openalex.org/W4205434950","https://openalex.org/W2111927334","https://openalex.org/W2724327981","https://openalex.org/W4378174414","https://openalex.org/W2910254721","https://openalex.org/W49937128"],"abstract_inverted_index":{"This":[0,155],"article":[1],"studies":[2],"the":[3,17,41,73,85,88,92,109,123,135,138,141,147,164,171,179,193,201,209],"synchronization":[4,86,105,152],"of":[5,29,43,87,94,104,143,163,178,181,200],"new":[6],"coupled":[7,55],"fractional":[8,56,194],"delayed":[9],"reaction\u2013diffusion":[10],"neural":[11,30,44,57],"networks":[12,31,45,58],"with":[13,59,208],"reaction":[14],"terms":[15],"satisfying":[16],"global":[18],"Lipschitz":[19],"condition":[20],"via":[21],"time-continuous":[22],"and":[23,36,39,61,78,101,146,166,175,197],"time-discontinuous":[24,96],"boundary":[25,66,129],"controllers.":[26],"The":[27],"realization":[28],"inevitably":[32],"involves":[33,157],"diffusion":[34,62],"phenomena":[35],"time":[37,144,149],"delays,":[38],"all":[40],"neurons":[42],"are":[46,106,153,188,204,217],"interrelated.":[47],"Considering":[48,91],"these":[49],"aspects,":[50],"this":[51],"study":[52],"focuses":[53],"on":[54,151,184],"time-delay":[60],"terms.":[63],"A":[64],"state-dependent":[65],"control":[67,148,168],"(BC)":[68],"is":[69,76,81,119,131],"designed":[70],"for":[71,121],"when":[72],"state":[74,110],"information":[75,111],"available,":[77],"a":[79,95,102,116],"criterion":[80,103],"presented":[82],"to":[83,133,206],"ensure":[84,134],"considered":[89],"systems.":[90],"advantages":[93],"controller,":[97],"an":[98,126],"intermittent":[99,128,167],"BC":[100,165],"given.":[107],"When":[108],"cannot":[112],"be":[113],"fully":[114],"obtained,":[115],"boundary-output-based":[117],"observer":[118],"provided":[120],"estimating":[122],"states.":[124],"Then,":[125],"observer-based":[127],"controller":[130],"given":[132,139],"synchronization.":[136,185],"From":[137],"criteria,":[140],"effects":[142],"delay":[145],"length":[150],"analyzed.":[154],"research":[156],"two":[158],"key":[159],"challenges:":[160],"1)":[161],"consideration":[162],"parameters":[169,183],"in":[170],"system":[172,182],"performance":[173],"analysis":[174],"2)":[176],"clarification":[177],"influence":[180],"These":[186],"challenges":[187],"addressed":[189],"using":[190],"Poincar\u00e9\u2019s":[191],"inequality,":[192],"Razumikhin-type":[195],"theorem,":[196],"several":[198],"properties":[199],"Mittag-Leffler":[202],"function":[203],"used":[205],"deal":[207],"above":[210],"difficulties.":[211],"Examples":[212],"show":[213],"that":[214],"our":[215],"results":[216],"valid.":[218]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":4}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}