{"id":"https://openalex.org/W3107293482","doi":"https://doi.org/10.1109/access.2020.3041794","title":"Bifurcation Control in an Optimal Velocity Model via Double Time-Delay Feedback Method","display_name":"Bifurcation Control in an Optimal Velocity Model via Double Time-Delay Feedback Method","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3107293482","doi":"https://doi.org/10.1109/access.2020.3041794","mag":"3107293482"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3041794","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3041794","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09274317.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/ielx7/6287639/6514899/09274317.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085210482","display_name":"Weilin Ren","orcid":null},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weilin Ren","raw_affiliation_strings":["Faculty of Maritime and Transportation, Ningbo University, Ningbo, China","Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, Nanjing, China","National Traffic Management Engineering and Technology Research Centre Ningbo University Sub-Center, Ningbo, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Maritime and Transportation, Ningbo University, Ningbo, China","institution_ids":["https://openalex.org/I109935558"]},{"raw_affiliation_string":"Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, Nanjing, China","institution_ids":[]},{"raw_affiliation_string":"National Traffic Management Engineering and Technology Research Centre Ningbo University Sub-Center, Ningbo, China","institution_ids":["https://openalex.org/I109935558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009617184","display_name":"Rongjun Cheng","orcid":"https://orcid.org/0000-0002-5558-9364"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rongjun Cheng","raw_affiliation_strings":["Faculty of Maritime and Transportation, Ningbo University, Ningbo, China","Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, Nanjing, China","National Traffic Management Engineering and Technology Research Centre Ningbo University Sub-Center, Ningbo, China"],"raw_orcid":"https://orcid.org/0000-0002-5558-9364","affiliations":[{"raw_affiliation_string":"Faculty of Maritime and Transportation, Ningbo University, Ningbo, China","institution_ids":["https://openalex.org/I109935558"]},{"raw_affiliation_string":"Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, Nanjing, China","institution_ids":[]},{"raw_affiliation_string":"National Traffic Management Engineering and Technology Research Centre Ningbo University Sub-Center, Ningbo, China","institution_ids":["https://openalex.org/I109935558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004273685","display_name":"Hongxia Ge","orcid":"https://orcid.org/0000-0002-6738-5350"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongxia Ge","raw_affiliation_strings":["Faculty of Maritime and Transportation, Ningbo University, Ningbo, China","Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, Nanjing, China","National Traffic Management Engineering and Technology Research Centre Ningbo University Sub-Center, Ningbo, China"],"raw_orcid":"https://orcid.org/0000-0002-6738-5350","affiliations":[{"raw_affiliation_string":"Faculty of Maritime and Transportation, Ningbo University, Ningbo, China","institution_ids":["https://openalex.org/I109935558"]},{"raw_affiliation_string":"Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, Nanjing, China","institution_ids":[]},{"raw_affiliation_string":"National Traffic Management Engineering and Technology Research Centre Ningbo University Sub-Center, Ningbo, China","institution_ids":["https://openalex.org/I109935558"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101612612","display_name":"Qi Wei","orcid":"https://orcid.org/0000-0001-9852-5902"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Wei","raw_affiliation_strings":["Department of Logistics Management, Ningbo University of Finance and Economics, Ningbo, China"],"raw_orcid":"https://orcid.org/0000-0001-9852-5902","affiliations":[{"raw_affiliation_string":"Department of Logistics Management, Ningbo University of Finance and Economics, Ningbo, China","institution_ids":["https://openalex.org/I109935558"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5085210482"],"corresponding_institution_ids":["https://openalex.org/I109935558"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.7855,"has_fulltext":true,"cited_by_count":28,"citation_normalized_percentile":{"value":0.85143359,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"8","issue":null,"first_page":"216162","last_page":"216175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9998999834060669,"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/T10524","display_name":"Traffic control and management","score":0.9998999834060669,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.9879999756813049,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9805999994277954,"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/control-theory","display_name":"Control theory (sociology)","score":0.7465001344680786},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7040584087371826},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6926953792572021},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.622492253780365},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4963422417640686},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4794827401638031},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4510960280895233},{"id":"https://openalex.org/keywords/double-layered","display_name":"Double layered","score":0.4316532015800476},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.4199843108654022},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3602597713470459},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3459055721759796},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.261433482170105},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1709473431110382},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.14875903725624084},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1435728371143341},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08016827702522278}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7465001344680786},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7040584087371826},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6926953792572021},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.622492253780365},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4963422417640686},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4794827401638031},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4510960280895233},{"id":"https://openalex.org/C3019074581","wikidata":"https://www.wikidata.org/wiki/Q5300054","display_name":"Double layered","level":2,"score":0.4316532015800476},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.4199843108654022},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3602597713470459},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3459055721759796},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.261433482170105},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1709473431110382},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.14875903725624084},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1435728371143341},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08016827702522278},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.3041794","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3041794","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09274317.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:91604f40c084436dbf00f55a613401d8","is_oa":true,"landing_page_url":"https://doaj.org/article/91604f40c084436dbf00f55a613401d8","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,"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":"IEEE Access, Vol 8, Pp 216162-216175 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3041794","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3041794","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09274317.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/G1287712297","display_name":null,"funder_award_id":"202003N4142","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4062283647","display_name":null,"funder_award_id":"2019A610048","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G422621802","display_name":null,"funder_award_id":"202003N4142","funder_id":"https://openalex.org/F4320332587","funder_display_name":"Natural Science Foundation of Ningbo"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322605","display_name":"Ningbo University","ror":"https://ror.org/03et85d35"},{"id":"https://openalex.org/F4320332587","display_name":"Natural Science Foundation of Ningbo","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320337015","display_name":"K. C. Wong Magna Fund in Ningbo University","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3107293482.pdf","grobid_xml":"https://content.openalex.org/works/W3107293482.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1965455100","https://openalex.org/W1968719911","https://openalex.org/W1978039436","https://openalex.org/W1996211601","https://openalex.org/W2006117070","https://openalex.org/W2047017331","https://openalex.org/W2047688790","https://openalex.org/W2053437352","https://openalex.org/W2056963094","https://openalex.org/W2063836179","https://openalex.org/W2073908655","https://openalex.org/W2077679034","https://openalex.org/W2084952317","https://openalex.org/W2089572816","https://openalex.org/W2090852635","https://openalex.org/W2091278882","https://openalex.org/W2114834408","https://openalex.org/W2134651339","https://openalex.org/W2137630110","https://openalex.org/W2336241447","https://openalex.org/W2337882343","https://openalex.org/W2364338009","https://openalex.org/W2589890169","https://openalex.org/W2769984679","https://openalex.org/W2790003107","https://openalex.org/W2792711708","https://openalex.org/W2800270741","https://openalex.org/W2891483954","https://openalex.org/W2906651457","https://openalex.org/W2920380002","https://openalex.org/W2937390859","https://openalex.org/W2938145987","https://openalex.org/W2945946920","https://openalex.org/W2955128561","https://openalex.org/W2998403057","https://openalex.org/W3028570313","https://openalex.org/W4251151812","https://openalex.org/W4255854848","https://openalex.org/W6761500757"],"related_works":["https://openalex.org/W4309781665","https://openalex.org/W2217206878","https://openalex.org/W1892002403","https://openalex.org/W2318061648","https://openalex.org/W1982022398","https://openalex.org/W4309005041","https://openalex.org/W2962746246","https://openalex.org/W1989531755","https://openalex.org/W2367621191","https://openalex.org/W2394041472"],"abstract_inverted_index":{"In":[0,167],"this":[1],"paper,":[2],"a":[3],"double":[4,75,139],"time-delay":[5,17,76,140],"feedback":[6,25,77],"control":[7,26,78,141,158],"of":[8,53,65,84,87,90,109,135,138,157],"an":[9],"optimal":[10,42],"velocity":[11,38,43],"model":[12],"(OVM)":[13],"is":[14,60,80,112,119,123,160],"investigated.":[15],"Double":[16],"means":[18],"that":[19,105],"there":[20],"exist":[21],"two":[22],"different":[23],"state":[24],"signals":[27],"in":[28,82],"the":[29,37,41,50,57,63,69,85,91,96,101,107,116,131,136,147,154,163,169],"controlled":[30,58,117],"OVM":[31,59,118],"system,":[32],"which":[33],"are":[34,127,151,174],"related":[35],"to":[36,94,114,129],"difference":[39],"and":[40,68,133,153],"difference,":[44],"respectively.":[45],"Through":[46],"linear":[47],"stability":[48],"analysis,":[49],"critical":[51],"condition":[52],"Hopf":[54,66],"bifurcation":[55,67],"for":[56],"derived.":[61],"Utilizing":[62],"characteristics":[64],"improved":[70],"definite":[71],"integral":[72],"method,":[73],"appropriate":[74,155],"strategy":[79],"designed":[81],"term":[83],"number":[86,108],"unstable":[88,110],"eigenvalues":[89,111],"characteristic":[92],"equation":[93],"suppress":[95],"stop-and-go":[97],"waves":[98],"generated":[99],"by":[100],"uncontrolled":[102],"OVM.":[103],"Note":[104],"when":[106],"equal":[113],"zero,":[115],"stable,":[120],"otherwise,":[121],"it":[122],"unstable.":[124],"Numerical":[125],"simulations":[126],"executed":[128],"validate":[130],"accuracy":[132],"feasibility":[134],"design":[137,165],"strategy.":[142],"Finally,":[143],"case":[144],"studies":[145],"approximating":[146],"actual":[148],"traffic":[149],"situation":[150],"given,":[152],"combination":[156],"parameters":[159],"selected":[161],"through":[162],"verified":[164],"steps.":[166],"addition,":[168],"measured":[170],"data":[171],"from":[172],"NGSIM":[173],"also":[175],"considered.":[176]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}