{"id":"https://openalex.org/W3010774866","doi":"https://doi.org/10.1109/cdc40024.2019.9030172","title":"Well-posedness of networked scalar semilinear balance laws subject to nonlinear boundary control operators","display_name":"Well-posedness of networked scalar semilinear balance laws subject to nonlinear boundary control operators","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3010774866","doi":"https://doi.org/10.1109/cdc40024.2019.9030172","mag":"3010774866"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9030172","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030172","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"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/A5007382527","display_name":"Shu\u2010Xia Tang","orcid":"https://orcid.org/0000-0003-4923-592X"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shu-Xia Tang","raw_affiliation_strings":["Department of Electrical Engineering & Computer Science, University of California, Berkeley, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering & Computer Science, University of California, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007232092","display_name":"Alexander Keimer","orcid":"https://orcid.org/0000-0003-3825-5853"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexander Keimer","raw_affiliation_strings":["Department of Electrical Engineering & Computer Science, University of California, Berkeley, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering & Computer Science, University of California, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021116704","display_name":"Alexandre M. Bayen","orcid":"https://orcid.org/0000-0002-6697-222X"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexandre M. Bayen","raw_affiliation_strings":["Department of Electrical Engineering & Computer Science, University of California, Berkeley, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering & Computer Science, University of California, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.1686,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53819033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"229","issue":null,"first_page":"4011","last_page":"4016"},"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":0.9775999784469604,"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/T11344","display_name":"Traffic Prediction and Management Techniques","score":0.9767000079154968,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/nonlinear-system","display_name":"Nonlinear system","score":0.6878751516342163},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.608854353427887},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5982894897460938},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5956338047981262},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.495260626077652},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.49461695551872253},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.47368505597114563},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4623682498931885},{"id":"https://openalex.org/keywords/geodetic-datum","display_name":"Geodetic datum","score":0.44264334440231323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4031762182712555},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37330180406570435},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33737003803253174},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30607134103775024},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.26388996839523315},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11887872219085693},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08362209796905518}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6878751516342163},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.608854353427887},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5982894897460938},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5956338047981262},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.495260626077652},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.49461695551872253},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.47368505597114563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4623682498931885},{"id":"https://openalex.org/C58754882","wikidata":"https://www.wikidata.org/wiki/Q1502887","display_name":"Geodetic datum","level":2,"score":0.44264334440231323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4031762182712555},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37330180406570435},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33737003803253174},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30607134103775024},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.26388996839523315},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11887872219085693},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08362209796905518},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc40024.2019.9030172","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030172","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.6800000071525574,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W13130406","https://openalex.org/W1972834576","https://openalex.org/W2032137277","https://openalex.org/W2054583986","https://openalex.org/W2068039185","https://openalex.org/W2093921901","https://openalex.org/W2112623927","https://openalex.org/W2168446094","https://openalex.org/W2405396227","https://openalex.org/W2618274270","https://openalex.org/W2903839754","https://openalex.org/W2982418667","https://openalex.org/W6658819164"],"related_works":["https://openalex.org/W2964093098","https://openalex.org/W2412470376","https://openalex.org/W2963447316","https://openalex.org/W4313437384","https://openalex.org/W2062843243","https://openalex.org/W2369439249","https://openalex.org/W3020980379","https://openalex.org/W2349272851","https://openalex.org/W1125030828","https://openalex.org/W2376977622"],"abstract_inverted_index":{"Networked":[0],"scalar":[1],"semilinear":[2],"balance":[3],"laws":[4],"are":[5,94],"used":[6],"as":[7],"simplified":[8,123],"macroscopic":[9],"vehicular":[10],"traffic":[11,41,51,104,117,125,146],"models.":[12],"The":[13,25,57],"related":[14],"initial":[15,107],"boundary":[16,27,71,91],"value":[17],"problem":[18],"is":[19,29,132],"investigated,":[20],"on":[21,53],"a":[22,32],"finite":[23],"interval.":[24],"upstream":[26],"datum":[28],"determined":[30],"by":[31,49],"nonlinear":[33,70,90],"feedback":[34],"control":[35,72,92],"operator,":[36],"representing":[37],"the":[38,50,54,61,66,77,80,135,138],"fact":[39],"that":[40],"routing":[42,129],"might":[43],"be":[44],"influenced":[45],"in":[46,65],"real":[47],"time":[48,108],"information":[52,105],"entire":[55,139],"network.":[56],"main":[58],"contribution":[59,120],"of":[60,69,79,88,134,137,145],"present":[62,111],"work":[63],"lies":[64],"appropriate":[67],"design":[68],"operators":[73,93],"which":[74],"meanwhile":[75],"guarantee":[76],"well-posedness":[78],"resultant":[81],"systems.":[82],"In":[83],"detail,":[84],"two":[85],"different":[86,143],"types":[87],"specific":[89],"instantiated,":[95],"one":[96,113],"being":[97],"Lipschitz":[98],"continuous":[99],"and":[100],"taking":[101],"into":[102],"account":[103],"from":[106],"up":[109],"to":[110],"time,":[112],"using":[114],"only":[115],"delayed":[116],"information.":[118],"This":[119],"thus":[121],"presents":[122],"road":[124],"network":[126],"dynamics":[127],"where":[128],"at":[130],"intersections":[131],"dependent":[133],"status":[136],"network,":[140],"incorporating":[141],"also":[142],"classes":[144],"flow.":[147]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}