{"id":"https://openalex.org/W4233282924","doi":"https://doi.org/10.1109/cdc.2002.1184880","title":"Boundary-value problems for systems of Hamilton-Jacobi-Bellman inclusions with constraints","display_name":"Boundary-value problems for systems of Hamilton-Jacobi-Bellman inclusions with constraints","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W4233282924","doi":"https://doi.org/10.1109/cdc.2002.1184880"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184880","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184880","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","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/A5027756717","display_name":"Jean\u2010Pierre Aubin","orcid":"https://orcid.org/0000-0002-8421-1969"},"institutions":[{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"J.-P. Aubin","raw_affiliation_strings":["Universit\u00e9 Paris Dauphine, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris Dauphine, France","institution_ids":["https://openalex.org/I56435720"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027756717"],"corresponding_institution_ids":["https://openalex.org/I56435720"],"apc_list":null,"apc_paid":null,"fwci":1.418,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.83095986,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"2328","last_page":"2333"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9632999897003174,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9632999897003174,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9370999932289124,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9122999906539917,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hamilton\u2013jacobi-equation","display_name":"Hamilton\u2013Jacobi equation","score":0.7749674320220947},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7116172313690186},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6563532948493958},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6285314559936523},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.5879740715026855},{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.47810548543930054},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.45606765151023865},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4486364722251892},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4444446861743927},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.418050616979599},{"id":"https://openalex.org/keywords/viscosity-solution","display_name":"Viscosity solution","score":0.4155159592628479},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3542434573173523},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32370156049728394},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.14403074979782104}],"concepts":[{"id":"https://openalex.org/C2778860007","wikidata":"https://www.wikidata.org/wiki/Q1060137","display_name":"Hamilton\u2013Jacobi equation","level":2,"score":0.7749674320220947},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7116172313690186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6563532948493958},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6285314559936523},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.5879740715026855},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.47810548543930054},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.45606765151023865},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4486364722251892},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4444446861743927},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.418050616979599},{"id":"https://openalex.org/C88731125","wikidata":"https://www.wikidata.org/wiki/Q7935676","display_name":"Viscosity solution","level":2,"score":0.4155159592628479},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3542434573173523},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32370156049728394},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.14403074979782104}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2002.1184880","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184880","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.6700000166893005,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W139036254","https://openalex.org/W1487586009","https://openalex.org/W1567597650","https://openalex.org/W1584175364","https://openalex.org/W1872861900","https://openalex.org/W1974495512","https://openalex.org/W1979676597","https://openalex.org/W1999497797","https://openalex.org/W2009264989","https://openalex.org/W2029188814","https://openalex.org/W2051547813","https://openalex.org/W2061585064","https://openalex.org/W2083422443","https://openalex.org/W2112948245","https://openalex.org/W2155501953","https://openalex.org/W2478956866","https://openalex.org/W2479262458","https://openalex.org/W6605664550","https://openalex.org/W6639288465"],"related_works":["https://openalex.org/W1977330547","https://openalex.org/W1974495512","https://openalex.org/W2061850819","https://openalex.org/W1983345526","https://openalex.org/W3110202723","https://openalex.org/W4286890456","https://openalex.org/W1985696076","https://openalex.org/W2061585064","https://openalex.org/W2155501953","https://openalex.org/W1944838178"],"abstract_inverted_index":{"We":[0,39,68,92],"study":[1],"boundary-value":[2],"problems":[3,31],"for":[4],"systems":[5],"of":[6,17,45,51,88,102,109,112],"Hamilton-Jacobi-Bellman":[7,80],"first-order":[8],"partial":[9],"differential":[10],"equations":[11],"and":[12,36,43,86,119,124],"variational":[13],"inequalities,":[14],"the":[15,41,49,84,97,100,103,106,110,113],"solutions":[16,47],"which":[18],"are":[19,26],"constrained":[20],"to":[21,60,73],"obey":[22],"viability":[23],"constraints.":[24],"They":[25],"motivated":[27],"by":[28,55,128],"some":[29],"control":[30],"(such":[32],"as":[33],"impulse":[34],"control)":[35],"financial":[37],"mathematics.":[38],"prove":[40],"existence":[42,85],"uniqueness":[44,87],"such":[46],"in":[48,65],"class":[50],"closed":[52],"set-valued":[53],"maps,":[54],"giving":[56],"a":[57,62],"precise":[58],"meaning":[59],"what":[61],"solution":[63,104],"means":[64],"this":[66,74],"case.":[67],"also":[69],"provide":[70],"explicit":[71],"formulas":[72],"problem.":[75],"When":[76],"we":[77,82],"deal":[78],"with":[79],"equations,":[81],"obtain":[83],"Frankowska":[89],"contingent":[90],"epi-solutions.":[91],"deduce":[93],"these":[94],"results":[95],"from":[96,121],"fact":[98],"that":[99],"graph":[101,111],"is":[105],"viable-capture":[107],"basin":[108],"boundary-conditions":[114],"under":[115],"an":[116],"auxiliary":[117],"system,":[118],"then,":[120],"their":[122,125],"properties":[123],"characterizations":[126],"proved":[127],"Aubin":[129],"(2001).":[130]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}