{"id":"https://openalex.org/W4367627140","doi":"https://doi.org/10.3390/math11092113","title":"Neural Networks Simulation of Distributed SEIR System","display_name":"Neural Networks Simulation of Distributed SEIR System","publication_year":2023,"publication_date":"2023-04-29","ids":{"openalex":"https://openalex.org/W4367627140","doi":"https://doi.org/10.3390/math11092113"},"language":"en","primary_location":{"id":"doi:10.3390/math11092113","doi":"https://doi.org/10.3390/math11092113","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math11092113","pdf_url":"https://www.mdpi.com/2227-7390/11/9/2113/pdf?version=1683183318","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2227-7390/11/9/2113/pdf?version=1683183318","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012037233","display_name":"Tibor Kme\u0165","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I216306336","display_name":"J. Selye University","ror":"https://ror.org/00zevd106","country_code":"SK","type":"education","lineage":["https://openalex.org/I216306336"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"Tibor Kmet","raw_affiliation_strings":["Department of Informatics, J. Selye University, Bratislavsk\u00e1 Cesta 3322, 945 01 Kom\u00e1rno, Slovakia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics, J. Selye University, Bratislavsk\u00e1 Cesta 3322, 945 01 Kom\u00e1rno, Slovakia","institution_ids":["https://openalex.org/I216306336"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066649757","display_name":"M\u00e1ria Kme\u0165ov\u00e1","orcid":"https://orcid.org/0000-0003-3526-7365","observed_orcids":["https://orcid.org/0000-0003-3526-7365"]},"institutions":[{"id":"https://openalex.org/I306340464","display_name":"Constantine the Philosopher University in Nitra","ror":"https://ror.org/038dnay05","country_code":"SK","type":"education","lineage":["https://openalex.org/I306340464"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Maria Kmetova","raw_affiliation_strings":["Department of Mathematics, Faculty of Natural Sciences and Informatics, Constantine the Philosopher University, Tr. A. Hlinku 1, 949 74 Nitra, Slovakia"],"raw_orcid":"https://orcid.org/0000-0003-3526-7365","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Natural Sciences and Informatics, Constantine the Philosopher University, Tr. A. Hlinku 1, 949 74 Nitra, Slovakia","institution_ids":["https://openalex.org/I306340464"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078346438","display_name":"Ladislav V\u00e9gh","orcid":"https://orcid.org/0000-0001-9242-4983","observed_orcids":["https://orcid.org/0000-0001-9242-4983"]},"institutions":[{"id":"https://openalex.org/I216306336","display_name":"J. Selye University","ror":"https://ror.org/00zevd106","country_code":"SK","type":"education","lineage":["https://openalex.org/I216306336"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Ladislav V\u00e9gh","raw_affiliation_strings":["Department of Informatics, J. Selye University, Bratislavsk\u00e1 Cesta 3322, 945 01 Kom\u00e1rno, Slovakia"],"raw_orcid":"https://orcid.org/0000-0001-9242-4983","affiliations":[{"raw_affiliation_string":"Department of Informatics, J. Selye University, Bratislavsk\u00e1 Cesta 3322, 945 01 Kom\u00e1rno, Slovakia","institution_ids":["https://openalex.org/I216306336"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012037233"],"corresponding_institution_ids":["https://openalex.org/I216306336"],"apc_list":{"value":2100,"currency":"CHF","value_usd":2336},"apc_paid":{"value":2100,"currency":"CHF","value_usd":2336},"fwci":0.4361,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.5120226,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"11","issue":"9","first_page":"2113","last_page":"2113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.6714000105857849,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.6714000105857849,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.1582999974489212,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.022600000724196434,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/optimal-control","display_name":"optimal control","score":0.7139999866485596},{"id":"https://openalex.org/keywords/distributed-optimal-control","display_name":"distributed optimal control","score":0.800000011920929},{"id":"https://openalex.org/keywords/seir-model","display_name":"SEIR model","score":0.8709999918937683},{"id":"https://openalex.org/keywords/feedforward-neural-networks","display_name":"feedforward neural networks","score":0.9089999794960022},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equations","display_name":"parabolic equations","score":0.9240000247955322},{"id":"https://openalex.org/keywords/time-delay-systems","display_name":"time-delay systems","score":0.5540000200271606},{"id":"https://openalex.org/keywords/disease-control","display_name":"disease control","score":0.8119999766349792},{"id":"https://openalex.org/keywords/epidemic-spreading","display_name":"epidemic spread","score":0.5009999871253967},{"id":"https://openalex.org/keywords/optimal-trajectories","display_name":"optimal trajectories","score":0.6570000052452087}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.8083729147911072},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7551804780960083},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.646147608757019},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6439487934112549},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5749276280403137},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5195908546447754},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.48367199301719666},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4791140556335449},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.453095018863678},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.4279116690158844},{"id":"https://openalex.org/C129537906","wikidata":"https://www.wikidata.org/wiki/Q7603913","display_name":"State variable","level":2,"score":0.41325628757476807},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2282004952430725},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17179903388023376},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14500099420547485},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/math11092113","doi":"https://doi.org/10.3390/math11092113","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math11092113","pdf_url":"https://www.mdpi.com/2227-7390/11/9/2113/pdf?version=1683183318","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:gam:jmathe:v:11:y:2023:i:9:p:2113-:d:1136533","doi":null,"is_oa":false,"landing_page_url":"https://www.mdpi.com/2227-7390/11/9/2113/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:0af6c2e4d82344b087767b89004bee47","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/0af6c2e4d82344b087767b89004bee47","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics, Vol 11, Iss 9, p 2113 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/math11092113","doi":"https://doi.org/10.3390/math11092113","is_oa":true,"landing_page_url":"https://doi.org/10.3390/math11092113","pdf_url":"https://www.mdpi.com/2227-7390/11/9/2113/pdf?version=1683183318","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323640","display_name":"Kult\u00farna a Edukacn\u00e1 Grantov\u00e1 Agent\u00fara M\u0160VVa\u0160 SR","ror":"https://ror.org/044gwpv05"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4367627140.pdf","grobid_xml":"https://content.openalex.org/works/W4367627140.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W20807139","https://openalex.org/W1159076690","https://openalex.org/W1983523797","https://openalex.org/W1984474823","https://openalex.org/W1987657756","https://openalex.org/W2005755983","https://openalex.org/W2021013459","https://openalex.org/W2024967546","https://openalex.org/W2040631726","https://openalex.org/W2043841940","https://openalex.org/W2047984666","https://openalex.org/W2059273886","https://openalex.org/W2081267180","https://openalex.org/W2102288666","https://openalex.org/W2106971385","https://openalex.org/W2113020599","https://openalex.org/W2113133070","https://openalex.org/W2120249358","https://openalex.org/W2132858840","https://openalex.org/W2136064843","https://openalex.org/W2137385638","https://openalex.org/W2137442297","https://openalex.org/W2137983211","https://openalex.org/W2160520936","https://openalex.org/W2253274025","https://openalex.org/W2278308097","https://openalex.org/W2364918774","https://openalex.org/W2476040428","https://openalex.org/W2754592635","https://openalex.org/W2804394998","https://openalex.org/W4229458431","https://openalex.org/W4308432405","https://openalex.org/W4309193752"],"related_works":["https://openalex.org/W2617872509","https://openalex.org/W2515565549","https://openalex.org/W2500129961","https://openalex.org/W2289971496","https://openalex.org/W1984474823","https://openalex.org/W4411201908","https://openalex.org/W4317936738","https://openalex.org/W117123073","https://openalex.org/W144558369","https://openalex.org/W2108470885"],"abstract_inverted_index":{"In":[0],"this":[1,82],"paper,":[2],"a":[3,44,52,60,72,78,93],"neural":[4,56,74,105],"network-based":[5],"optimal":[6,13,38,65,69,89,114],"control":[7,14,28,39,66,90,116,123],"synthesis":[8],"is":[9,41,108],"presented":[10],"for":[11,96,110],"distributed":[12,94,115],"problems.":[15],"We":[16,58,76],"deal":[17],"with":[18,27,118],"solutions":[19],"of":[20,81,92,113,133],"systems":[21],"controlled":[22],"by":[23],"parabolic":[24],"differential":[25],"equations":[26],"and":[29,32,48,67,122,129],"state":[30,121],"constraints":[31,128],"discrete":[33,45],"time":[34],"delays.":[35],"The":[36,99],"given":[37],"problem":[40,47,91],"transformed":[42],"into":[43,51],"nonlinear":[46],"then":[49],"implemented":[50],"feed-forward":[53,73],"adaptive":[54],"critic":[55],"network.":[57,75],"propose":[59],"new":[61],"algorithm":[62],"to":[63,126],"reach":[64],"an":[68],"trajectory":[70],"using":[71],"present":[77],"concrete":[79],"application":[80],"simulation":[83],"method":[84],"on":[85],"the":[86,103,111,131,136],"SEIR":[87,137],"(Susceptible\u2014Exposed\u2014Infectious\u2014Recovered)":[88],"system":[95],"disease":[97,134],"control.":[98],"results":[100],"show":[101],"that":[102],"adaptive-critic-based":[104],"network":[106],"approach":[107],"suitable":[109],"solution":[112],"problems":[117],"delay":[119],"in":[120,135],"variables":[124],"subject":[125],"control-state":[127],"simulates":[130],"spread":[132],"system.":[138]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2023-05-02T00:00:00"}