{"id":"https://openalex.org/W7225417410","doi":"https://doi.org/10.1007/s11063-026-11895-6","title":"Mittag-Leffler Synchronization of Leakage and Time-Varying Delayed Complex-Valued Fractional-Order Memristor-Based Neural Networks","display_name":"Mittag-Leffler Synchronization of Leakage and Time-Varying Delayed Complex-Valued Fractional-Order Memristor-Based Neural Networks","publication_year":2026,"publication_date":"2026-11-06","ids":{"openalex":"https://openalex.org/W7225417410","doi":"https://doi.org/10.1007/s11063-026-11895-6"},"language":"en","primary_location":{"id":"doi:10.1007/s11063-026-11895-6","doi":"https://doi.org/10.1007/s11063-026-11895-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-026-11895-6","pdf_url":null,"source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-c","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s11063-026-11895-6","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5161136037","display_name":"Suriguga Ma","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I22046295","display_name":"Inner Mongolia Normal University","ror":"https://ror.org/0497ase59","country_code":"CN","type":"education","lineage":["https://openalex.org/I22046295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Suriguga Ma","raw_affiliation_strings":["College of Mathematics Science, Inner Mongolia Normal University, No. 81, Zhao Wuda Road, Saihan District, Hohhot, 010022, Inner Mongolia, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics Science, Inner Mongolia Normal University, No. 81, Zhao Wuda Road, Saihan District, Hohhot, 010022, Inner Mongolia, China","institution_ids":["https://openalex.org/I22046295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5161054604","display_name":"Na Zhang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4510145","display_name":"Jiangxi University of Science and Technology","ror":"https://ror.org/03q0t9252","country_code":"CN","type":"education","lineage":["https://openalex.org/I4510145"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Na Zhang","raw_affiliation_strings":["School of Mathematics and Physics, JiangXi University of Science and Technology, No. 1958, Hakka Avenue, Ganzhou, 341000, Jiangxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, JiangXi University of Science and Technology, No. 1958, Hakka Avenue, Ganzhou, 341000, Jiangxi, China","institution_ids":["https://openalex.org/I4510145"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5161054604"],"corresponding_institution_ids":["https://openalex.org/I4510145"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":{"value":3090,"currency":"USD","value_usd":3090},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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/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"}},"topics":[{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"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"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.0,"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"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.0,"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/mittag-leffler-synchronization","display_name":"Mittag-Leffler synchronization","score":0.9990000128746033},{"id":"https://openalex.org/keywords/complex-valued-neural-networks","display_name":"complex-valued neural networks","score":0.8600000143051147},{"id":"https://openalex.org/keywords/leakage-delay","display_name":"leakage delay","score":0.796999990940094},{"id":"https://openalex.org/keywords/time-varying-delays","display_name":"time-varying delays","score":0.9990000128746033},{"id":"https://openalex.org/keywords/state-feedback-control","display_name":"state feedback control","score":0.8330000042915344},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"adaptive control","score":0.9789999723434448}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.661899983882904},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6351000070571899},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6086000204086304},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5978000164031982},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5746999979019165},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.5288000106811523},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4844000041484833},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.4771000146865845},{"id":"https://openalex.org/C2777042071","wikidata":"https://www.wikidata.org/wiki/Q6509304","display_name":"Leakage (economics)","level":2,"score":0.46889999508857727},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.4643999934196472},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.40149998664855957},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.3865000009536743},{"id":"https://openalex.org/C202759130","wikidata":"https://www.wikidata.org/wiki/Q7662148","display_name":"Synchronization of chaos","level":4,"score":0.29899999499320984},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2978000044822693},{"id":"https://openalex.org/C52970973","wikidata":"https://www.wikidata.org/wiki/Q2497134","display_name":"Adaptive system","level":2,"score":0.29679998755455017},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.2847999930381775},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2703000009059906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26030001044273376},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.25870001316070557}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11063-026-11895-6","doi":"https://doi.org/10.1007/s11063-026-11895-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-026-11895-6","pdf_url":null,"source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-c","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11063-026-11895-6","doi":"https://doi.org/10.1007/s11063-026-11895-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-026-11895-6","pdf_url":null,"source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-c","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2808394202","https://openalex.org/W4281293299","https://openalex.org/W3032786328","https://openalex.org/W4400401272","https://openalex.org/W2964610177","https://openalex.org/W2781482290","https://openalex.org/W7165862176","https://openalex.org/W2948879852","https://openalex.org/W3048556851","https://openalex.org/W2892356487"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,31,51,58,134,141,146,151,160,165,175],"global":[4,97],"Mittag-Leffler":[5],"(ML)":[6],"synchronization":[7,179],"problem":[8],"for":[9],"a":[10,171],"class":[11],"of":[12,164,180],"complex-valued":[13,32,183],"fractional-order":[14,81,182],"memristor-based":[15],"neural":[16],"networks":[17],"(CFMNNs)":[18],"that":[19,95,129,140],"are":[20,109,156],"simultaneously":[21],"subject":[22],"to":[23,49,158],"leakage":[24],"delays":[25],"and":[26,34,40,43,72,77,112,125,136,139,162],"time-varying":[27],"delays.":[28],"By":[29],"decomposing":[30],"states":[33],"activation":[35],"functions":[36],"into":[37,61],"their":[38],"real":[39],"imaginary":[41],"parts,":[42],"employing":[44],"Filippov\u2019s":[45],"differential":[46],"inclusion":[47],"theory":[48],"handle":[50],"discontinuous":[52],"memristive":[53,184],"connection":[54],"weights,":[55],"we":[56,90],"reformulate":[57],"original":[59],"system":[60],"an":[62,73],"equivalent":[63],"real-valued":[64],"framework.":[65],"Two":[66],"distinct":[67],"control":[68,131],"strategies\u2014a":[69],"state-feedback":[70],"controller":[71,102,143],"adaptive":[74,101,142],"controller\u2014are":[75],"designed":[76],"rigorously":[78],"analyzed.":[79],"Using":[80],"Lyapunov":[82],"functional":[83],"methods":[84],"together":[85],"with":[86],"suitable":[87],"fractional":[88],"inequalities,":[89],"derive":[91],"explicit":[92],"algebraic":[93],"criteria":[94],"guarantee":[96],"ML":[98],"synchronization.":[99],"The":[100],"offers":[103],"enhanced":[104],"flexibility":[105],"because":[106],"its":[107],"gains":[108],"updated":[110],"online":[111],"need":[113],"not":[114],"be":[115],"prescribed":[116],"in":[117,174],"advance.":[118],"A":[119],"comparative":[120],"simulation":[121],"under":[122],"identical":[123],"parameters":[124],"initial":[126],"conditions":[127],"confirms":[128],"both":[130],"schemes":[132],"synchronize":[133],"drive":[135],"response":[137],"systems,":[138],"attains":[144],"essentially":[145],"same":[147],"fast":[148],"convergence":[149],"as":[150],"feedback":[152],"scheme.":[153],"Numerical":[154],"examples":[155],"provided":[157],"illustrate":[159],"effectiveness":[161],"practicality":[163],"obtained":[166],"theoretical":[167],"results,":[168],"thereby":[169],"filling":[170],"notable":[172],"gap":[173],"existing":[176],"literature":[177],"on":[178],"delayed":[181],"systems.":[185]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-11-07T00:00:00"}
