{"id":"https://openalex.org/W7130835766","doi":"https://doi.org/10.1007/s11063-025-11830-1","title":"Finite-time Stability of Delayed Recurrent Neural Networks with the Effect of Impulsive Control","display_name":"Finite-time Stability of Delayed Recurrent Neural Networks with the Effect of Impulsive Control","publication_year":2026,"publication_date":"2026-02-21","ids":{"openalex":"https://openalex.org/W7130835766","doi":"https://doi.org/10.1007/s11063-025-11830-1"},"language":"en","primary_location":{"id":"doi:10.1007/s11063-025-11830-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-025-11830-1","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,"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"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s11063-025-11830-1","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5126559435","display_name":"J. Jayabharathi","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":"J. Jayabharathi","raw_affiliation_strings":["Department of Mathematics, Vellore Institute of Technology, Chennai, 600127, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vellore Institute of Technology, Chennai, 600127, Tamil Nadu, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016364986","display_name":"Khang Wen Goh","orcid":"https://orcid.org/0000-0001-6686-7019"},"institutions":[{"id":"https://openalex.org/I12649496","display_name":"INTI International University","ror":"https://ror.org/03fj82m46","country_code":"MY","type":"education","lineage":["https://openalex.org/I12649496"]},{"id":"https://openalex.org/I245308123","display_name":"State University of Padang","ror":"https://ror.org/04jrfgq66","country_code":"ID","type":"education","lineage":["https://openalex.org/I245308123"]}],"countries":["ID","MY"],"is_corresponding":false,"raw_author_name":"Khang Wen Goh","raw_affiliation_strings":["Faculty of Business and Communication, INTI International University, Nilai, Malaysia","Faculty of Mathematics and Natural Sciences, Universitas Negeri Padang, Padang, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Business and Communication, INTI International University, Nilai, Malaysia","institution_ids":["https://openalex.org/I12649496"]},{"raw_affiliation_string":"Faculty of Mathematics and Natural Sciences, Universitas Negeri Padang, Padang, Indonesia","institution_ids":["https://openalex.org/I245308123"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038703355","display_name":"S. Lakshmanan","orcid":"https://orcid.org/0000-0002-4622-3782"},"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":"Lakshmanan Shanmugam","raw_affiliation_strings":["Department of Mathematics, Vellore Institute of Technology, Chennai, 600127, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vellore Institute of Technology, Chennai, 600127, Tamil Nadu, India","institution_ids":["https://openalex.org/I876193797"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038703355"],"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":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.30597838,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"58","issue":"2","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":0.9987000226974487,"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":0.9987000226974487,"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":0.0003000000142492354,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":9.999999747378752e-05,"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/control-theory","display_name":"Control theory (sociology)","score":0.739300012588501},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.7228999733924866},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.6520000100135803},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6108999848365784},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5246999859809875},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4221999943256378},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4171000123023987}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.739300012588501},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.7228999733924866},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.6520000100135803},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6108999848365784},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5246999859809875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5019000172615051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4413999915122986},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4221999943256378},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4171000123023987},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.41290000081062317},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.3370000123977661},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.3359000086784363},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.328000009059906},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.2919999957084656},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.26330000162124634},{"id":"https://openalex.org/C61987429","wikidata":"https://www.wikidata.org/wiki/Q3064355","display_name":"M-matrix","level":3,"score":0.2522999942302704}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11063-025-11830-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-025-11830-1","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,"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/s11063-025-11830-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-025-11830-1","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,"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":[{"score":0.4071041941642761,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W561364172","https://openalex.org/W1999808555","https://openalex.org/W2021679764","https://openalex.org/W2039617089","https://openalex.org/W2050240106","https://openalex.org/W2056717940","https://openalex.org/W2092876487","https://openalex.org/W2108517517","https://openalex.org/W2137547873","https://openalex.org/W2147974763","https://openalex.org/W2149691465","https://openalex.org/W2199063378","https://openalex.org/W2243370844","https://openalex.org/W2900500391","https://openalex.org/W2913621502","https://openalex.org/W3088127898","https://openalex.org/W3093145111","https://openalex.org/W3179306170","https://openalex.org/W3205985400","https://openalex.org/W3214808833","https://openalex.org/W4248510537","https://openalex.org/W4376505310","https://openalex.org/W4377099627","https://openalex.org/W4390546112","https://openalex.org/W4390827798","https://openalex.org/W4391564234","https://openalex.org/W4391877585","https://openalex.org/W4405093695"],"related_works":[],"abstract_inverted_index":{"This":[0],"article":[1],"deals":[2],"with":[3,31],"the":[4,16,34,42,49,57,70,73,79,94,97],"finite-time":[5],"stability":[6],"(FTS)":[7],"problem":[8],"of":[9,18,51,72,96],"delayed":[10],"recurrent":[11],"neural":[12],"networks":[13],"(DRNNs)":[14],"under":[15,75],"effect":[17],"impulsive":[19,39,76],"control.":[20,77],"To":[21],"do":[22,60],"this":[23],"analysis,":[24],"a":[25,85],"suitable":[26],"Lyapunov-Krasovskii":[27],"functional":[28],"is":[29],"constructed":[30],"information":[32],"about":[33],"delay":[35],"bounds":[36],"and":[37,41,88],"an":[38],"instant,":[40],"corresponding":[43],"sufficient":[44,67],"conditions":[45,68],"are":[46,82],"derived":[47,80],"in":[48],"form":[50],"linear":[52],"matrix":[53],"inequalities.":[54],"Besides":[55],"that,":[56],"activation":[58],"functions":[59],"not":[61],"necessitate":[62],"boundedness":[63],"or":[64],"monotonicity.":[65],"The":[66],"ensure":[69],"FTS":[71],"DRNNs":[74],"Finally,":[78],"criteria":[81],"validated":[83],"via":[84],"numerical":[86],"example":[87],"their":[89],"simulation":[90],"results,":[91],"which":[92],"confirm":[93],"efficiency":[95],"proposed":[98],"results.":[99]},"counts_by_year":[],"updated_date":"2026-05-03T08:25:01.440150","created_date":"2026-02-22T00:00:00"}