{"id":"https://openalex.org/W2950023557","doi":"https://doi.org/10.1109/tcyb.2019.2921633","title":"Synchronization of Nonidentical Neural Networks With Unknown Parameters and Diffusion Effects via Robust Adaptive Control Techniques","display_name":"Synchronization of Nonidentical Neural Networks With Unknown Parameters and Diffusion Effects via Robust Adaptive Control Techniques","publication_year":2019,"publication_date":"2019-06-19","ids":{"openalex":"https://openalex.org/W2950023557","doi":"https://doi.org/10.1109/tcyb.2019.2921633","mag":"2950023557","pmid":"https://pubmed.ncbi.nlm.nih.gov/31226097"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2019.2921633","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2019.2921633","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/A5100396892","display_name":"Hao Zhang","orcid":"https://orcid.org/0000-0002-3069-2656"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hao Zhang","raw_affiliation_strings":["Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Huazhong University of Science and Technology, Wuhan, China","School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081245089","display_name":"Zhigang Zeng","orcid":"https://orcid.org/0000-0003-4587-3588"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhigang Zeng","raw_affiliation_strings":["Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Huazhong University of Science and Technology, Wuhan, China","School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100396892"],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":4.085,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.94441006,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"51","issue":"2","first_page":"660","last_page":"672"},"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.996999979019165,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9901000261306763,"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":0.7718536853790283},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6956858038902283},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6314007639884949},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6284388303756714},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.604424238204956},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5914630889892578},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5372768044471741},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5356540083885193},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.48243650794029236},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.4751472473144531},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28818202018737793},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1995316445827484},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11767378449440002}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7718536853790283},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6956858038902283},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6314007639884949},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6284388303756714},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.604424238204956},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5914630889892578},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5372768044471741},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5356540083885193},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.48243650794029236},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.4751472473144531},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28818202018737793},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1995316445827484},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11767378449440002},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012107","descriptor_name":"Research Design","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012107","descriptor_name":"Research Design","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012107","descriptor_name":"Research Design","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2019.2921633","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2019.2921633","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:31226097","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31226097","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/G2413230818","display_name":null,"funder_award_id":"61821003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G282535699","display_name":null,"funder_award_id":"2017CFA005","funder_id":"https://openalex.org/F4320327654","funder_display_name":"Foundation for Innovative Research Groups of Hubei Province of China"},{"id":"https://openalex.org/G3476586388","display_name":null,"funder_award_id":"61673188","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4977117707","display_name":null,"funder_award_id":"2019M652646","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G7099877325","display_name":null,"funder_award_id":"61761130081","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/F4320327654","display_name":"Foundation for Innovative Research Groups of Hubei Province of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W1487127700","https://openalex.org/W1527296550","https://openalex.org/W1541739705","https://openalex.org/W1544115288","https://openalex.org/W1627685944","https://openalex.org/W1966037807","https://openalex.org/W1966292493","https://openalex.org/W1966751197","https://openalex.org/W1977329812","https://openalex.org/W1983692556","https://openalex.org/W1986825171","https://openalex.org/W1989995081","https://openalex.org/W1992435968","https://openalex.org/W2010987157","https://openalex.org/W2018426510","https://openalex.org/W2022159488","https://openalex.org/W2031988165","https://openalex.org/W2049034415","https://openalex.org/W2067871201","https://openalex.org/W2072868235","https://openalex.org/W2073771170","https://openalex.org/W2075049885","https://openalex.org/W2085465150","https://openalex.org/W2093789877","https://openalex.org/W2096783161","https://openalex.org/W2096984816","https://openalex.org/W2099175737","https://openalex.org/W2100071276","https://openalex.org/W2112310928","https://openalex.org/W2116973981","https://openalex.org/W2123168499","https://openalex.org/W2123268478","https://openalex.org/W2126221500","https://openalex.org/W2156987334","https://openalex.org/W2162339377","https://openalex.org/W2165480517","https://openalex.org/W2214962116","https://openalex.org/W2340099371","https://openalex.org/W2343011127","https://openalex.org/W2347175173","https://openalex.org/W2461067303","https://openalex.org/W2580381586","https://openalex.org/W2580848314","https://openalex.org/W2582592812","https://openalex.org/W2584604366","https://openalex.org/W2596006644","https://openalex.org/W2605824083","https://openalex.org/W2745762676","https://openalex.org/W2790221363","https://openalex.org/W2795744704","https://openalex.org/W2799979995","https://openalex.org/W2808037636","https://openalex.org/W2895415875","https://openalex.org/W2944949096","https://openalex.org/W3021722416"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W4297791327","https://openalex.org/W2897842840","https://openalex.org/W2911623553","https://openalex.org/W2397777611","https://openalex.org/W1502031429","https://openalex.org/W2161688277","https://openalex.org/W1545539801","https://openalex.org/W4280596088","https://openalex.org/W1966075561"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"the":[3,25,54,73,82,99,116,121,128,131,147,151,161,164,174,177],"self-synchronization":[4],"and":[5,21,105],"tracking":[6,100],"synchronization":[7,74,101,153],"issues":[8],"for":[9,143],"a":[10,65,85],"class":[11],"of":[12,28,123,130,150,163,176],"nonidentically":[13],"coupled":[14],"neural":[15,29],"networks":[16,30],"model":[17],"with":[18,31,103],"unknown":[19],"parameters":[20,162],"diffusion":[22],"effects.":[23],"Using":[24],"special":[26],"structure":[27],"global":[32,124],"Lipschitz":[33],"activation":[34],"function,":[35],"nonidentical":[36],"terms":[37],"are":[38,94,112,140,170],"treated":[39],"as":[40,127],"external":[41],"disturbances,":[42],"which":[43],"can":[44,155],"then":[45],"be":[46,156],"compensated":[47],"via":[48],"robust":[49],"adaptive":[50,67,92,135,165],"control":[51,178],"techniques.":[52],"For":[53,81],"case":[55,83],"where":[56,84],"no":[57],"common":[58],"reference":[59,86,107],"trajectory":[60,87],"is":[61,69,88],"given":[62,113,171],"in":[63],"advance,":[64],"distributed":[66,91],"controller":[68],"proposed":[70],"to":[71,76,97,114,160,172],"drive":[72],"error":[75],"an":[77],"adjustable":[78],"bounded":[79,104],"area.":[80],"predesigned,":[89],"two":[90],"controllers":[93],"proposed,":[95],"respectively,":[96],"address":[98],"problem":[102],"unbounded":[106],"trajectories,":[108],"different":[109],"decomposition":[110],"methods":[111],"extract":[115],"heterogeneous":[117],"characteristics.":[118],"To":[119],"avoid":[120],"appearance":[122],"information,":[125],"such":[126],"spectrum":[129],"coupling":[132,138],"matrix,":[133],"corresponding":[134],"designs":[136],"on":[137],"strengths":[139],"also":[141],"provided":[142],"both":[144],"cases.":[145],"Moreover,":[146],"upper":[148],"bounds":[149],"final":[152],"errors":[154],"gradually":[157],"adjusted":[158],"according":[159],"designs.":[166],"Finally,":[167],"numerical":[168],"examples":[169],"test":[173],"effectiveness":[175],"algorithms.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}