{"id":"https://openalex.org/W3111836351","doi":"https://doi.org/10.1109/access.2020.3045185","title":"General Third-Order-Accuracy Formulas for Time Discretization Applied to Time-Varying Optimization","display_name":"General Third-Order-Accuracy Formulas for Time Discretization Applied to Time-Varying Optimization","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3111836351","doi":"https://doi.org/10.1109/access.2020.3045185","mag":"3111836351"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3045185","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3045185","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09296355.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09296355.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037445911","display_name":"Hejun Xuan","orcid":null},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hejun Xuan","raw_affiliation_strings":["School of Computer and Information Technology, Xinyang Normal University, Xinyang, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information Technology, Xinyang Normal University, Xinyang, China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108820390","display_name":"Xinhui Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinhui Zhu","raw_affiliation_strings":["School of Computer and Information Technology, Xinyang Normal University, Xinyang, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information Technology, Xinyang Normal University, Xinyang, China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100710279","display_name":"Jian Li","orcid":"https://orcid.org/0000-0003-1033-842X"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Li","raw_affiliation_strings":["School of Computer and Information Technology, Xinyang Normal University, Xinyang, China","Henan Key Laboratory of Analysis and Application of Education Big Data, Xinyang Normal University, Xinyang, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information Technology, Xinyang Normal University, Xinyang, China","institution_ids":["https://openalex.org/I130750295"]},{"raw_affiliation_string":"Henan Key Laboratory of Analysis and Application of Education Big Data, Xinyang Normal University, Xinyang, China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102891353","display_name":"Huaping Guo","orcid":"https://orcid.org/0000-0001-5209-9485"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huaping Guo","raw_affiliation_strings":["School of Computer and Information Technology, Xinyang Normal University, Xinyang, China","Henan Key Laboratory of Analysis and Application of Education Big Data, Xinyang Normal University, Xinyang, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information Technology, Xinyang Normal University, Xinyang, China","institution_ids":["https://openalex.org/I130750295"]},{"raw_affiliation_string":"Henan Key Laboratory of Analysis and Application of Education Big Data, Xinyang Normal University, Xinyang, China","institution_ids":["https://openalex.org/I130750295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100363311","display_name":"Yanling Li","orcid":"https://orcid.org/0000-0002-5766-898X"},"institutions":[{"id":"https://openalex.org/I130750295","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66","country_code":"CN","type":"education","lineage":["https://openalex.org/I130750295"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanling Li","raw_affiliation_strings":["School of Computer and Information Technology, Xinyang Normal University, Xinyang, China","Henan Key Laboratory of Analysis and Application of Education Big Data, Xinyang Normal University, Xinyang, China"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information Technology, Xinyang Normal University, Xinyang, China","institution_ids":["https://openalex.org/I130750295"]},{"raw_affiliation_string":"Henan Key Laboratory of Analysis and Application of Education Big Data, Xinyang Normal University, Xinyang, China","institution_ids":["https://openalex.org/I130750295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5037445911"],"corresponding_institution_ids":["https://openalex.org/I130750295"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.2887,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64884451,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"8","issue":null,"first_page":"224235","last_page":"224245"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9970999956130981,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9937999844551086,"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/computer-science","display_name":"Computer science","score":0.6225610971450806},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5686766505241394},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4486005902290344},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4070884585380554},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32131317257881165},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2426554262638092}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6225610971450806},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5686766505241394},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4486005902290344},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4070884585380554},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32131317257881165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2426554262638092},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.3045185","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3045185","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09296355.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1f6b29c0393641c0be2f8622446c4a61","is_oa":true,"landing_page_url":"https://doaj.org/article/1f6b29c0393641c0be2f8622446c4a61","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 224235-224245 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3045185","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3045185","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09296355.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1299715101","display_name":null,"funder_award_id":"19IRTSTHN014","funder_id":"https://openalex.org/F4320321760","funder_display_name":"Henan University of Science and Technology"},{"id":"https://openalex.org/G1348881003","display_name":null,"funder_award_id":"62002307","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G246452974","display_name":null,"funder_award_id":"21A520039","funder_id":"https://openalex.org/F4320327564","funder_display_name":"Xinyang Normal University"},{"id":"https://openalex.org/G2802911279","display_name":null,"funder_award_id":"Young","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3049952806","display_name":null,"funder_award_id":"62006205","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4507041184","display_name":null,"funder_award_id":"21A520039","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4644952065","display_name":null,"funder_award_id":"62002307","funder_id":"https://openalex.org/F4320327564","funder_display_name":"Xinyang Normal University"},{"id":"https://openalex.org/G4696243363","display_name":null,"funder_award_id":"62002307","funder_id":"https://openalex.org/F4320335834","funder_display_name":"Nanhu Scholars Program for Young Scholars of Xinyang Normal University"},{"id":"https://openalex.org/G5057544281","display_name":null,"funder_award_id":"62006205","funder_id":"https://openalex.org/F4320327564","funder_display_name":"Xinyang Normal University"},{"id":"https://openalex.org/G5152824890","display_name":null,"funder_award_id":"62002307","funder_id":"https://openalex.org/F4320322770","funder_display_name":"Foundation of Henan Educational Committee"},{"id":"https://openalex.org/G5167091242","display_name":null,"funder_award_id":"No. 1","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6046697368","display_name":null,"funder_award_id":"19IRTSTHN014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6571955873","display_name":null,"funder_award_id":"62006205","funder_id":"https://openalex.org/F4320322770","funder_display_name":"Foundation of Henan Educational Committee"},{"id":"https://openalex.org/G6688104968","display_name":null,"funder_award_id":"620023","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7733419106","display_name":null,"funder_award_id":"19IRTSTHN014","funder_id":"https://openalex.org/F4320335834","funder_display_name":"Nanhu Scholars Program for Young Scholars of Xinyang Normal University"},{"id":"https://openalex.org/G8279159078","display_name":null,"funder_award_id":"21A520039","funder_id":"https://openalex.org/F4320322770","funder_display_name":"Foundation of Henan Educational Committee"},{"id":"https://openalex.org/G8495994827","display_name":null,"funder_award_id":"19IRTSTHN014","funder_id":"https://openalex.org/F4320327564","funder_display_name":"Xinyang Normal University"},{"id":"https://openalex.org/G8982540886","display_name":null,"funder_award_id":"62006205","funder_id":"https://openalex.org/F4320335834","funder_display_name":"Nanhu Scholars Program for Young Scholars of Xinyang Normal University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321760","display_name":"Henan University of Science and Technology","ror":"https://ror.org/05d80kz58"},{"id":"https://openalex.org/F4320322770","display_name":"Foundation of Henan Educational Committee","ror":"https://ror.org/00xvf9d29"},{"id":"https://openalex.org/F4320327564","display_name":"Xinyang Normal University","ror":"https://ror.org/0190x2a66"},{"id":"https://openalex.org/F4320335834","display_name":"Nanhu Scholars Program for Young Scholars of Xinyang Normal University","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3111836351.pdf","grobid_xml":"https://content.openalex.org/works/W3111836351.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W76314153","https://openalex.org/W280536263","https://openalex.org/W1504986959","https://openalex.org/W2004744038","https://openalex.org/W2029781456","https://openalex.org/W2043112250","https://openalex.org/W2148372998","https://openalex.org/W2230287873","https://openalex.org/W2316213429","https://openalex.org/W2482430271","https://openalex.org/W2586662914","https://openalex.org/W2601174671","https://openalex.org/W2697309248","https://openalex.org/W2764226165","https://openalex.org/W2772169915","https://openalex.org/W2791313368","https://openalex.org/W2791907626","https://openalex.org/W2799602331","https://openalex.org/W2809515816","https://openalex.org/W2888123880","https://openalex.org/W2896594613","https://openalex.org/W2900351265","https://openalex.org/W2900646979","https://openalex.org/W2910901527","https://openalex.org/W2944364832","https://openalex.org/W2952577779","https://openalex.org/W2962856610","https://openalex.org/W2967444460","https://openalex.org/W2967650831","https://openalex.org/W2971663061","https://openalex.org/W2975370440","https://openalex.org/W2985850350","https://openalex.org/W3000352647","https://openalex.org/W3085511060","https://openalex.org/W4247080625"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858"],"abstract_inverted_index":{"Time":[0],"discretization":[1,49],"is":[2,21,91,111,148,165],"an":[3],"important":[4],"part":[5],"of":[6,42,61,179],"time-varying":[7,152],"problems":[8],"solving":[9],"that":[10],"determines":[11],"convergence,":[12],"real-time":[13],"performance":[14],"and":[15,36,93,114,118,125,154,177,183],"accuracy":[16],"for":[17,121],"solution":[18,163],"models.":[19,184],"It":[20],"a":[22],"challenging":[23],"work":[24,65],"compared":[25],"with":[26],"relatively":[27],"simple":[28],"derivative":[29],"approximation":[30],"due":[31],"to":[32,96,132,150,173],"unknown":[33],"future":[34],"information":[35],"stability":[37],"constraint.":[38],"To":[39],"the":[40,43,175],"best":[41],"authors\u2019s":[44],"knowledge,":[45],"no":[46],"effective":[47,119,134],"time":[48,135],"was":[50],"developed":[51],"other":[52],"than":[53],"Euler":[54],"finite":[55],"difference":[56],"formula":[57,90,129,147],"before":[58],"recently":[59],"development":[60],"ZeaD":[62,68],"formulas.":[63],"Existing":[64],"presents":[66],"some":[67],"formulas":[69,73,100,182],"including":[70],"specific":[71],"time-discretization":[72],"having":[74],"third":[75],"order":[76],"accuracy.":[77],"In":[78],"this":[79],"work,":[80],"<inline-formula":[81,105,138,155],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[82,106,139,156],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[83,107,140,157],"<tex-math":[84,108,141,158],"notation=\"LaTeX\">$N$":[85,109,142,159],"</tex-math></inline-formula>":[86,110,143,160],"-instant":[87,144,161],"general":[88,98,127,145,162,181],"third-order-accuracy":[89,99,128,146],"proposed,":[92],"it":[94],"leads":[95],"different":[97,102],"when":[101],"instant":[103],"number":[104],"considered.":[112],"Stability":[113],"convergence":[115],"are":[116,130,171],"analyzed,":[117],"domains":[120],"parameters":[122],"in":[123],"5-instant":[124],"6-instant":[126],"given":[131],"guarantee":[133],"discretization.":[136],"Furthermore,":[137],"employed":[149],"solve":[151],"optimization,":[153],"model":[164],"proposed.":[166],"Finally,":[167],"comparative":[168],"experimental":[169],"results":[170],"presented":[172],"substantiate":[174],"effectiveness":[176],"superiority":[178],"proposed":[180]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2020-12-21T00:00:00"}
