{"id":"https://openalex.org/W4295757744","doi":"https://doi.org/10.1109/tnnls.2022.3202799","title":"Synchronization of Stochastic Neural Networks Using Looped-Lyapunov Functional and Its Application to Secure Communication","display_name":"Synchronization of Stochastic Neural Networks Using Looped-Lyapunov Functional and Its Application to Secure Communication","publication_year":2022,"publication_date":"2022-09-14","ids":{"openalex":"https://openalex.org/W4295757744","doi":"https://doi.org/10.1109/tnnls.2022.3202799","pmid":"https://pubmed.ncbi.nlm.nih.gov/36103433"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2022.3202799","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2022.3202799","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","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/A5007527819","display_name":"Bhuvaneshwari Ganesan","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":"Bhuvaneshwari Ganesan","raw_affiliation_strings":["Division of Mathematics, Vellore Institute of Technology, Chennai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematics, Vellore Institute of Technology, Chennai, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028742622","display_name":"Prakash Mani","orcid":"https://orcid.org/0000-0003-0420-4249"},"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":"Prakash Mani","raw_affiliation_strings":["Division of Mathematics, Vellore Institute of Technology, Vellore, India"],"raw_orcid":"https://orcid.org/0000-0003-0420-4249","affiliations":[{"raw_affiliation_string":"Division of Mathematics, Vellore Institute of Technology, Vellore, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"middle","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":false,"raw_author_name":"Lakshmanan Shanmugam","raw_affiliation_strings":["Division of Mathematics, Vellore Institute of Technology, Chennai, India"],"raw_orcid":"https://orcid.org/0000-0002-4622-3782","affiliations":[{"raw_affiliation_string":"Division of Mathematics, Vellore Institute of Technology, Chennai, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045673988","display_name":"A. Manivannan","orcid":"https://orcid.org/0000-0001-8372-4175"},"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":"Manivannan Annamalai","raw_affiliation_strings":["Division of Mathematics, Vellore Institute of Technology, Chennai, India"],"raw_orcid":"https://orcid.org/0000-0001-8372-4175","affiliations":[{"raw_affiliation_string":"Division of Mathematics, Vellore Institute of Technology, Chennai, India","institution_ids":["https://openalex.org/I876193797"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.7058,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.95157385,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"35","issue":"4","first_page":"5198","last_page":"5210"},"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9977999925613403,"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/synchronization","display_name":"Synchronization (alternating current)","score":0.7419480085372925},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6991021633148193},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6471819877624512},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5865048170089722},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5298038721084595},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4966138005256653},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.45724228024482727},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.45518821477890015},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.44448918104171753},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4388319253921509},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.4104347825050354},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2798890471458435},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22556984424591064},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.21065765619277954},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20849400758743286},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13772249221801758},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.13311371207237244},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09259116649627686},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.06816887855529785}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7419480085372925},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6991021633148193},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6471819877624512},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5865048170089722},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5298038721084595},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4966138005256653},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.45724228024482727},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.45518821477890015},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.44448918104171753},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4388319253921509},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.4104347825050354},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2798890471458435},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22556984424591064},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.21065765619277954},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20849400758743286},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13772249221801758},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.13311371207237244},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09259116649627686},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.06816887855529785},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2022.3202799","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2022.3202799","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:36103433","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36103433","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 neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1967965856","https://openalex.org/W1970442252","https://openalex.org/W2008749607","https://openalex.org/W2012195114","https://openalex.org/W2065160561","https://openalex.org/W2111543721","https://openalex.org/W2516834395","https://openalex.org/W2546592570","https://openalex.org/W2893369672","https://openalex.org/W2901304015","https://openalex.org/W2908274625","https://openalex.org/W2913008024","https://openalex.org/W2919408215","https://openalex.org/W2951871181","https://openalex.org/W2955911506","https://openalex.org/W2963742465","https://openalex.org/W2967749236","https://openalex.org/W2970956565","https://openalex.org/W2973022519","https://openalex.org/W2980736665","https://openalex.org/W2987601486","https://openalex.org/W3012505178","https://openalex.org/W3013007609","https://openalex.org/W3016683263","https://openalex.org/W3022200715","https://openalex.org/W3025330021","https://openalex.org/W3038484279","https://openalex.org/W3043890756","https://openalex.org/W3044684947","https://openalex.org/W3049309921","https://openalex.org/W3091623210","https://openalex.org/W3128760576","https://openalex.org/W3146620220","https://openalex.org/W3155159328","https://openalex.org/W3160733758","https://openalex.org/W3172770782","https://openalex.org/W3190201423","https://openalex.org/W3196397733"],"related_works":["https://openalex.org/W2347867225","https://openalex.org/W2611999869","https://openalex.org/W1515856307","https://openalex.org/W1989430648","https://openalex.org/W2612802088","https://openalex.org/W2075203706","https://openalex.org/W2534107666","https://openalex.org/W2210722882","https://openalex.org/W2117933783","https://openalex.org/W2560479139"],"abstract_inverted_index":{"This":[0],"study":[1,49,155],"aims":[2],"to":[3,26,150,192],"investigate":[4],"the":[5,28,33,62,89,98,101,114,130,151,170,180,194,197,200,207,212,216,219,231],"synchronization":[6,23,229],"of":[7,36,45,159,164],"user-controlled":[8],"and":[9,59,75,113,123,167,199,222,230],"uncontrolled":[10],"neural":[11,63],"networks":[12],"(NNs)":[13],"that":[14,190],"exhibit":[15],"chaotic":[16],"solutions.":[17],"The":[18],"idea":[19],"behind":[20],"focusing":[21],"on":[22],"problems":[24],"is":[25,134,138,143,203],"design":[27],"user-desired":[29],"NNs":[30,38,51,90,184,234],"by":[31,119,205],"emulating":[32],"dynamical":[34],"properties":[35],"traditional":[37],"rather":[39],"than":[40],"redefining":[41],"them.":[42],"Besides,":[43],"instead":[44],"conventional":[46],"NNs,":[47],"this":[48,154],"considers":[50],"with":[52,103],"significant":[53],"factors":[54,79,93],"such":[55],"as":[56,187],"time-dependent":[57],"delays":[58],"uncertainties":[60,168],"in":[61,82,157,169,179],"coefficients.":[64],"In":[65,148],"addition,":[66],"information":[67,142],"transmission":[68,70,195],"over":[69,146],"may":[71,94],"experience":[72],"stochastic":[73,84,104,110,161],"disturbances":[74,105],"network":[76],"transmission.":[77],"These":[78],"will":[80],"result":[81],"a":[83,109,188,236],"differential":[85,111],"NN":[86],"model.":[87],"Analyzing":[88],"without":[91],"these":[92],"be":[95,107],"incompatible":[96],"during":[97],"implementation.":[99],"Theoretically,":[100],"model":[102],"can":[106,226],"considered":[108],"model,":[112],"stability":[115],"conditions":[116,225],"are":[117,185],"derived":[118,223],"employing":[120],"It\u00f4's":[121],"formula":[122],"appropriate":[124],"integral":[125],"inequalities.":[126],"To":[127],"achieve":[128],"synchronization,":[129],"sampled-data-based":[131],"control":[132,221],"scheme":[133],"proposed":[135,220,232],"because":[136],"it":[137],"more":[139],"effective":[140],"while":[141],"being":[144],"transmitted":[145],"networks.":[147],"contrast":[149],"existing":[152],"studies,":[153],"contributes":[156],"terms":[158],"handling":[160],"disturbances,":[162],"effects":[163],"time-varying":[165],"delays,":[166],"system":[171],"parameters":[172],"via":[173],"looped-type":[174],"Lyapunov":[175],"functional.":[176],"Besides":[177],"this,":[178],"application":[181],"view,":[182],"delayed":[183,233],"employed":[186],"cryptosystem":[189],"helps":[191],"secure":[193],"between":[196],"sender":[198],"receiver,":[201],"which":[202],"explored":[204],"illustrating":[206],"statistical":[208],"measures":[209],"evaluated":[210],"for":[211],"standard":[213],"images.":[214],"From":[215],"simulation":[217],"results,":[218],"sufficient":[224],"provide":[227],"better":[228,237],"give":[235],"cryptosystem.":[238]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":9}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}