{"id":"https://openalex.org/W2462332821","doi":"https://doi.org/10.2298/csis160215023l","title":"Performance analyses of recurrent neural network models exploited for online time-varying nonlinear optimization","display_name":"Performance analyses of recurrent neural network models exploited for online time-varying nonlinear optimization","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2462332821","doi":"https://doi.org/10.2298/csis160215023l","mag":"2462332821"},"language":"en","primary_location":{"id":"doi:10.2298/csis160215023l","is_oa":true,"landing_page_url":"https://doi.org/10.2298/csis160215023l","pdf_url":"http://www.doiserbia.nb.rs/ft.aspx?id=1820-02141600023L","source":{"id":"https://openalex.org/S206939107","display_name":"Computer Science and Information Systems","issn_l":"1820-0214","issn":["1820-0214","2406-1018"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310321031","host_organization_name":"ComSIS Consortium","host_organization_lineage":["https://openalex.org/P4310321031"],"host_organization_lineage_names":["ComSIS Consortium"],"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":"Computer Science and Information Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://www.doiserbia.nb.rs/ft.aspx?id=1820-02141600023L","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100347934","display_name":"Mei Liu","orcid":"https://orcid.org/0000-0003-0445-941X"},"institutions":[{"id":"https://openalex.org/I144581915","display_name":"Jishou University","ror":"https://ror.org/056szk247","country_code":"CN","type":"education","lineage":["https://openalex.org/I144581915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mei Liu","raw_affiliation_strings":["College of Physics, Mechanical and Electrical Engineering, Jishou University, Jishou, 416000, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Physics, Mechanical and Electrical Engineering, Jishou University, Jishou, 416000, Hunan, China","institution_ids":["https://openalex.org/I144581915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052115720","display_name":"Bolin Liao","orcid":"https://orcid.org/0000-0001-9036-2723"},"institutions":[{"id":"https://openalex.org/I144581915","display_name":"Jishou University","ror":"https://ror.org/056szk247","country_code":"CN","type":"education","lineage":["https://openalex.org/I144581915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bolin Liao","raw_affiliation_strings":["College of Information Science and Engineering, Jishou University, Jishou, 416000, Hunan, China","The Collaborative Innovation Center of Manganese-Zinc-Vanadium Industrial Technology (the 2011 Plan of Hunan Province), Jishou, 416000, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Jishou University, Jishou, 416000, Hunan, China","institution_ids":["https://openalex.org/I144581915"]},{"raw_affiliation_string":"The Collaborative Innovation Center of Manganese-Zinc-Vanadium Industrial Technology (the 2011 Plan of Hunan Province), Jishou, 416000, Hunan, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088242752","display_name":"Lei Ding","orcid":"https://orcid.org/0000-0003-0653-8373"},"institutions":[{"id":"https://openalex.org/I144581915","display_name":"Jishou University","ror":"https://ror.org/056szk247","country_code":"CN","type":"education","lineage":["https://openalex.org/I144581915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Ding","raw_affiliation_strings":["College of Information Science and Engineering, Jishou University, Jishou, 416000, Hunan, China","The Collaborative Innovation Center of Manganese-Zinc-Vanadium Industrial Technology (the 2011 Plan of Hunan Province), Jishou, 416000, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Jishou University, Jishou, 416000, Hunan, China","institution_ids":["https://openalex.org/I144581915"]},{"raw_affiliation_string":"The Collaborative Innovation Center of Manganese-Zinc-Vanadium Industrial Technology (the 2011 Plan of Hunan Province), Jishou, 416000, Hunan, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005130812","display_name":"Lin Xiao","orcid":"https://orcid.org/0000-0003-3172-3490"},"institutions":[{"id":"https://openalex.org/I144581915","display_name":"Jishou University","ror":"https://ror.org/056szk247","country_code":"CN","type":"education","lineage":["https://openalex.org/I144581915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Xiao","raw_affiliation_strings":["College of Information Science and Engineering, Jishou University, Jishou, 416000, Hunan, China","The Collaborative Innovation Center of Manganese-Zinc-Vanadium Industrial Technology (the 2011 Plan of Hunan Province), Jishou, 416000, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Jishou University, Jishou, 416000, Hunan, China","institution_ids":["https://openalex.org/I144581915"]},{"raw_affiliation_string":"The Collaborative Innovation Center of Manganese-Zinc-Vanadium Industrial Technology (the 2011 Plan of Hunan Province), Jishou, 416000, Hunan, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I144581915"],"apc_list":null,"apc_paid":null,"fwci":1.0526,"has_fulltext":true,"cited_by_count":27,"citation_normalized_percentile":{"value":0.78502985,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"13","issue":"2","first_page":"691","last_page":"705"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13717","display_name":"Advanced Algorithms and Applications","score":0.9868000149726868,"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/T13717","display_name":"Advanced Algorithms and Applications","score":0.9868000149726868,"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/T10320","display_name":"Neural Networks and Applications","score":0.9822999835014343,"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/T14225","display_name":"Advanced Sensor and Control Systems","score":0.9775999784469604,"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/residual","display_name":"Residual","score":0.7397115230560303},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7024389505386353},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.6968231201171875},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6808547973632812},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6360544562339783},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5548153519630432},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5031992793083191},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4856640100479126},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.48242244124412537},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4317414164543152},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.426937460899353},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40700608491897583},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3324217200279236},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2696611285209656},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24653208255767822}],"concepts":[{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.7397115230560303},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7024389505386353},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.6968231201171875},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6808547973632812},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6360544562339783},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5548153519630432},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5031992793083191},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4856640100479126},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.48242244124412537},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4317414164543152},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.426937460899353},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40700608491897583},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3324217200279236},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2696611285209656},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24653208255767822},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2298/csis160215023l","is_oa":true,"landing_page_url":"https://doi.org/10.2298/csis160215023l","pdf_url":"http://www.doiserbia.nb.rs/ft.aspx?id=1820-02141600023L","source":{"id":"https://openalex.org/S206939107","display_name":"Computer Science and Information Systems","issn_l":"1820-0214","issn":["1820-0214","2406-1018"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310321031","host_organization_name":"ComSIS Consortium","host_organization_lineage":["https://openalex.org/P4310321031"],"host_organization_lineage_names":["ComSIS Consortium"],"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":"Computer Science and Information Systems","raw_type":"journal-article"},{"id":"pmh:oai:doiserbia:1820-02141600023L","is_oa":false,"landing_page_url":"http://doi.org/10.2298/CSIS160215023L","pdf_url":null,"source":{"id":"https://openalex.org/S4306400515","display_name":"Digital Object Identifier (DOI) Repository Serbia (National Library of Serbia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210142455","host_organization_name":"National Library of Serbia","host_organization_lineage":["https://openalex.org/I4210142455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":". (00) 23-23"}],"best_oa_location":{"id":"doi:10.2298/csis160215023l","is_oa":true,"landing_page_url":"https://doi.org/10.2298/csis160215023l","pdf_url":"http://www.doiserbia.nb.rs/ft.aspx?id=1820-02141600023L","source":{"id":"https://openalex.org/S206939107","display_name":"Computer Science and Information Systems","issn_l":"1820-0214","issn":["1820-0214","2406-1018"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310321031","host_organization_name":"ComSIS Consortium","host_organization_lineage":["https://openalex.org/P4310321031"],"host_organization_lineage_names":["ComSIS Consortium"],"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":"Computer Science and Information Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3587019085","display_name":null,"funder_award_id":"61503152","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4443870173","display_name":"\u57fa\u4e8eDCA\u548cSVM\u5e76\u884c\u68c0\u6d4b\u7684\u667a\u80fd\u5165\u4fb5\u68c0\u6d4b\u7cfb\u7edf\u7684\u7814\u7a76","funder_award_id":"61363073","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4770177279","display_name":null,"funder_award_id":"13A075","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5589879722","display_name":null,"funder_award_id":"61563017","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326960","display_name":"Jishou University","ror":"https://ror.org/056szk247"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2462332821.pdf","grobid_xml":"https://content.openalex.org/works/W2462332821.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W605390454","https://openalex.org/W633987035","https://openalex.org/W835482081","https://openalex.org/W1993989609","https://openalex.org/W2002352814","https://openalex.org/W2003162446","https://openalex.org/W2023468600","https://openalex.org/W2051779263","https://openalex.org/W2061619613","https://openalex.org/W2065894561","https://openalex.org/W2076966421","https://openalex.org/W2093627685","https://openalex.org/W2158744868","https://openalex.org/W2184707592","https://openalex.org/W2240536489","https://openalex.org/W2298552880","https://openalex.org/W2337271819","https://openalex.org/W2344929049","https://openalex.org/W2345244325","https://openalex.org/W2390401404"],"related_works":["https://openalex.org/W2377964692","https://openalex.org/W2356755074","https://openalex.org/W2380955682","https://openalex.org/W2401030943","https://openalex.org/W2376945355","https://openalex.org/W2362641799","https://openalex.org/W2000654528","https://openalex.org/W1495169190","https://openalex.org/W2611931283","https://openalex.org/W2462332821"],"abstract_inverted_index":{"In":[0,98],"this":[1,34],"paper,":[2],"a":[3,59],"special":[4],"recurrent":[5],"neural":[6,12],"network":[7,13],"(RNN),":[8],"i.e.,":[9],"the":[10,27,50,54,66,78,85,95,99,103,107,134,142],"Zhang":[11],"(ZNN),":[14],"is":[15,90,127],"presented":[16],"and":[17,38,64,82,118],"investigated":[18],"for":[19,76,84,115,129,149],"online":[20,86,150],"time-varying":[21,151],"nonlinear":[22,152],"optimization":[23,80],"(OTVNO).":[24],"Compared":[25],"with":[26],"research":[28],"work":[29],"done":[30],"previously":[31],"by":[32],"others,":[33],"paper":[35],"analyzes":[36],"continuous-time":[37,55,108],"discrete-time":[39,130],"ZNN":[40,56,109,131,146],"models":[41,147],"theoretically":[42],"via":[43],"rigorous":[44],"proof.":[45],"Theoretical":[46],"results":[47,139],"show":[48],"that":[49,65],"residual":[51,69,104],"errors":[52,70,105],"of":[53,71,88,101,106,145],"model":[57,110,132],"possesses":[58],"global":[60],"exponential":[61],"convergence":[62],"property":[63],"maximal":[67],"steady-state":[68],"any":[72],"method":[73],"designed":[74],"intrinsically":[75],"solving":[77],"static":[79],"problem":[81],"employed":[83],"solution":[87],"OTVNO":[89],"O(\u03c4),":[91],"where":[92],"\u03c4":[93],"denotes":[94],"sampling":[96,124],"gap.":[97],"presence":[100],"noises,":[102],"can":[111],"be":[112],"arbitrarily":[113],"small":[114],"constant":[116],"noises":[117],"random":[119],"noises.":[120],"Moreover,":[121],"an":[122],"optimal":[123],"gap":[125],"formula":[126],"proposed":[128],"in":[133],"noisy":[135],"environments.":[136],"Finally,":[137],"computer-simulation":[138],"further":[140],"substantiate":[141],"performance":[143],"analyses":[144],"exploited":[148],"optimization.":[153]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-07-22T00:00:00"}