{"id":"https://openalex.org/W4412881519","doi":"https://doi.org/10.1007/s11063-025-11793-3","title":"Global Mittag-Leffler Projective Synchronization of Distinct Fractional-order Delayed Neural Networks with Inconsistent Orders and Interaction Terms via integral Sliding Mode Control","display_name":"Global Mittag-Leffler Projective Synchronization of Distinct Fractional-order Delayed Neural Networks with Inconsistent Orders and Interaction Terms via integral Sliding Mode Control","publication_year":2025,"publication_date":"2025-08-04","ids":{"openalex":"https://openalex.org/W4412881519","doi":"https://doi.org/10.1007/s11063-025-11793-3"},"language":"en","primary_location":{"id":"doi:10.1007/s11063-025-11793-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-025-11793-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11063-025-11793-3.pdf","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,"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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11063-025-11793-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110352933","display_name":"G Pavithra","orcid":"https://orcid.org/0009-0000-1868-0348"},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"G. Pavithra","raw_affiliation_strings":["Department of Mathematics, School of Advanced sciences, Vellore Institute of Technology, Vellore, 632 014, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Advanced sciences, Vellore Institute of Technology, Vellore, 632 014, Tamil Nadu, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017773712","display_name":"S. Dharani","orcid":null},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Dharani","raw_affiliation_strings":["Department of Mathematics, School of Advanced sciences, Vellore Institute of Technology, Vellore, 632 014, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Advanced sciences, Vellore Institute of Technology, Vellore, 632 014, Tamil Nadu, India","institution_ids":["https://openalex.org/I876193797"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110352933"],"corresponding_institution_ids":["https://openalex.org/I876193797"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":13.124,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.98638288,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"57","issue":"4","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":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/T10320","display_name":"Neural Networks and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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":0.629721462726593},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.5954688787460327},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5314511060714722},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.49412229657173157},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4859098494052887},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4724210500717163},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.46961694955825806},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.46121135354042053},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.4113999605178833},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3543892502784729},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.30362552404403687},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28230226039886475},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1270739734172821},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11329081654548645}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.629721462726593},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.5954688787460327},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5314511060714722},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.49412229657173157},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4859098494052887},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4724210500717163},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.46961694955825806},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.46121135354042053},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.4113999605178833},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3543892502784729},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.30362552404403687},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28230226039886475},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1270739734172821},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11329081654548645},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11063-025-11793-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-025-11793-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11063-025-11793-3.pdf","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,"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","license_id":"https://openalex.org/licenses/cc-by","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/s11063-025-11793-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-025-11793-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11063-025-11793-3.pdf","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,"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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412881519.pdf","grobid_xml":"https://content.openalex.org/works/W4412881519.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W577449674","https://openalex.org/W1977447091","https://openalex.org/W1980305321","https://openalex.org/W1984061387","https://openalex.org/W2004202105","https://openalex.org/W2009692945","https://openalex.org/W2020625830","https://openalex.org/W2027475474","https://openalex.org/W2041197124","https://openalex.org/W2057645973","https://openalex.org/W2058860728","https://openalex.org/W2064392676","https://openalex.org/W2067002012","https://openalex.org/W2091614454","https://openalex.org/W2092861539","https://openalex.org/W2109052923","https://openalex.org/W2116973981","https://openalex.org/W2172005689","https://openalex.org/W2606857795","https://openalex.org/W2809873871","https://openalex.org/W3194138615","https://openalex.org/W4310716708","https://openalex.org/W4378619416","https://openalex.org/W4379057845","https://openalex.org/W4380995371","https://openalex.org/W4383113468","https://openalex.org/W4385457844","https://openalex.org/W4385584064","https://openalex.org/W4386002496","https://openalex.org/W4392348279","https://openalex.org/W4392878223","https://openalex.org/W4400810413","https://openalex.org/W4404566279","https://openalex.org/W4406028161"],"related_works":["https://openalex.org/W2736674626","https://openalex.org/W2973875853","https://openalex.org/W2380573388","https://openalex.org/W2369636957","https://openalex.org/W2029465934","https://openalex.org/W4231087120","https://openalex.org/W2544687545","https://openalex.org/W1968058629","https://openalex.org/W2375357969","https://openalex.org/W2151535469"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"work":[2],"focuses":[3],"on":[4],"the":[5,36,41,44,61,68,71,82,90,96,105,123,126],"global":[6],"Mittag\u2013Leffler":[7],"projective":[8],"synchronization":[9],"(GMLPS)":[10],"of":[11,46,70,125],"distinct":[12,108],"fractional-order":[13,27],"delayed":[14,26,53],"neural":[15],"networks":[16],"(FODNNs)":[17],"with":[18,110],"inconsistent":[19,111],"orders":[20,112],"and":[21,95,113],"interaction":[22,114],"terms.":[23,115],"Initially,":[24],"a":[25,47,52],"(FO)":[28],"integral":[29],"sliding":[30,54,62,72,84,87],"surface":[31],"is":[32,58],"made":[33],"by":[34],"embedding":[35],"FO":[37],"gradient":[38],"fed":[39],"into":[40],"controller,":[42],"facilitating":[43],"formulation":[45],"synchronous":[48],"error":[49,75],"system.":[50],"Subsequently,":[51],"mode":[55,63],"controller":[56],"(SMC)":[57],"formulated":[59],"using":[60],"control":[64],"theory":[65],"to":[66,79,81,103,121],"guarantee":[67],"occurrence":[69],"motion.":[73],"Furthermore,":[74],"systems":[76],"are":[77,101,119],"shown":[78],"converge":[80],"predefined":[83],"surface,":[85],"enabling":[86],"motion":[88],"through":[89],"fractional":[91],"Lyapunov":[92],"direct":[93],"approach":[94],"Razumikhin":[97],"method.":[98],"Novel":[99],"criteria":[100],"established":[102],"achieve":[104],"GMLPS":[106],"for":[107],"FODNNs":[109],"Finally,":[116],"numerical":[117],"experiments":[118],"exploited":[120],"highlight":[122],"performance":[124],"obtained":[127],"outcomes.":[128]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}