{"id":"https://openalex.org/W2063262279","doi":"https://doi.org/10.1109/acc.2012.6314947","title":"Reconstruction of boundary conditions from internal conditions using viability theory","display_name":"Reconstruction of boundary conditions from internal conditions using viability theory","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2063262279","doi":"https://doi.org/10.1109/acc.2012.6314947","mag":"2063262279"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2012.6314947","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6314947","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","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/A5014473141","display_name":"Aude Hofleitner","orcid":"https://orcid.org/0009-0002-6492-2488"},"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":true,"raw_author_name":"A. Hofleitner","raw_affiliation_strings":["Electrical Engineering and Computer Science, UC, Berkeley, CA, USA","Electrical Engineering and Computer Science, UC Berkeley, CA"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science, UC, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Electrical Engineering and Computer Science, UC Berkeley, CA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082935103","display_name":"Christian Claudel","orcid":"https://orcid.org/0000-0002-3783-4928"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"C. Claudel","raw_affiliation_strings":["Electrical Engineering and Mechanical Engineering, KAUST, Saudi Arabia","Electrical Engineering and Mechanical Engineering, Kaust"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Mechanical Engineering, KAUST, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"Electrical Engineering and Mechanical Engineering, Kaust","institution_ids":["https://openalex.org/I71920554"]}]},{"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":"A. Bayen","raw_affiliation_strings":["Electrical Engineering and Computer Sciences, Civil and Environmental Engineering, University of California, Berkeley, Berkeley, USA","Electrical Engineering and Computer Sciences, Civil and Environmental Engineering, UC Berkeley"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Sciences, Civil and Environmental Engineering, University of California, Berkeley, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Electrical Engineering and Computer Sciences, Civil and Environmental Engineering, UC Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014473141"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.563,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.74424022,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"153","issue":null,"first_page":"640","last_page":"645"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9997000098228455,"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":0.9997000098228455,"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/T11344","display_name":"Traffic Prediction and Management Techniques","score":0.9969000220298767,"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"}},{"id":"https://openalex.org/T11099","display_name":"Autonomous Vehicle Technology and Safety","score":0.984499990940094,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/boundary-value-problem","display_name":"Boundary value problem","score":0.7002742290496826},{"id":"https://openalex.org/keywords/upstream","display_name":"Upstream (networking)","score":0.6259881854057312},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.520788848400116},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47474461793899536},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.44521504640579224},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43819230794906616},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.43557700514793396},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40145957469940186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3729727864265442},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3667782247066498},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3519102931022644},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16915550827980042},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11799904704093933},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09682542085647583}],"concepts":[{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.7002742290496826},{"id":"https://openalex.org/C191172861","wikidata":"https://www.wikidata.org/wiki/Q7899321","display_name":"Upstream (networking)","level":2,"score":0.6259881854057312},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.520788848400116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47474461793899536},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.44521504640579224},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43819230794906616},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.43557700514793396},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40145957469940186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3729727864265442},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3667782247066498},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3519102931022644},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16915550827980042},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11799904704093933},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09682542085647583},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2012.6314947","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6314947","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","raw_type":"proceedings-article"},{"id":"pmh:oai:repository.kaust.edu.sa:10754/575806","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/575806","pdf_url":null,"source":{"id":"https://openalex.org/S4306401596","display_name":"King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71920554","host_organization_name":"King Abdullah University of Science and Technology","host_organization_lineage":["https://openalex.org/I71920554"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.8399999737739563}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W10781045","https://openalex.org/W584400962","https://openalex.org/W629817986","https://openalex.org/W1238092070","https://openalex.org/W1996573126","https://openalex.org/W2009485311","https://openalex.org/W2017225228","https://openalex.org/W2043530786","https://openalex.org/W2057462050","https://openalex.org/W2093834886","https://openalex.org/W2093921901","https://openalex.org/W2095797625","https://openalex.org/W2099432311","https://openalex.org/W2111838834","https://openalex.org/W2116364955","https://openalex.org/W2138836319","https://openalex.org/W2149464093","https://openalex.org/W2296319761","https://openalex.org/W4241127195","https://openalex.org/W4245376853","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W3187420948","https://openalex.org/W2038416447","https://openalex.org/W2364151838","https://openalex.org/W3123355452","https://openalex.org/W3210221758","https://openalex.org/W1623358412","https://openalex.org/W2066926363","https://openalex.org/W4285731965","https://openalex.org/W2354159744","https://openalex.org/W2196719869"],"abstract_inverted_index":{"This":[0,74],"article":[1],"presents":[2],"a":[3,11],"method":[4],"for":[5,16,79],"reconstructing":[6],"downstream":[7,46,66],"boundary":[8,21,47,67],"conditions":[9,22,63],"to":[10,91,94],"HamiltonJacobi":[12],"partial":[13],"differential":[14],"equation":[15,56],"which":[17],"initial":[18,60],"and":[19,29,61,64,98],"upstream":[20,62],"are":[23],"prescribed":[24,34,59],"as":[25,35,108],"piecewise":[26],"affine":[27,37],"functions":[28],"an":[30,36],"internal":[31,71],"condition":[32,48,68],"is":[33,89],"function.":[38],"Based":[39],"on":[40],"viability":[41],"theory,":[42],"we":[43],"reconstruct":[44,95],"the":[45,51,54,58,70],"such":[49,107],"that":[50],"solution":[52],"of":[53],"Hamilton-Jacobi":[55],"with":[57,84],"reconstructed":[65],"satisfies":[69],"value":[72],"condition.":[73],"work":[75],"has":[76],"important":[77],"applications":[78],"estimation":[80],"in":[81],"flow":[82],"networks":[83],"unknown":[85],"capacity":[86,100],"reductions.":[87],"It":[88],"applied":[90],"urban":[92],"traffic,":[93],"signal":[96],"timings":[97],"temporary":[99],"reductions":[101],"at":[102],"intersections,":[103],"using":[104],"Lagrangian":[105],"sensing":[106],"GPS":[109],"devices":[110],"onboard":[111],"vehicles.":[112]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
