{"id":"https://openalex.org/W2071324182","doi":"https://doi.org/10.1137/s0363012902406576","title":"Necessary Optimality Conditions in Multiobjective Dynamic Optimization","display_name":"Necessary Optimality Conditions in Multiobjective Dynamic Optimization","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2071324182","doi":"https://doi.org/10.1137/s0363012902406576","mag":"2071324182"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012902406576","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012902406576","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-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":null,"display_name":"Sa\u00cfd Bellaassali","orcid":null},"institutions":[{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sa\u00cfd Bellaassali","raw_affiliation_strings":["University of Burgundy ,"],"affiliations":[{"raw_affiliation_string":"University of Burgundy ,","institution_ids":["https://openalex.org/I177064439"]}]},{"author_position":"last","author":{"id":null,"display_name":"Abderrahim Jourani","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Abderrahim Jourani","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I177064439"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.15447066,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"42","issue":"6","first_page":"2043","last_page":"2061"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994000196456909,"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":0.9994000196456909,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9785000085830688,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9506000280380249,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8546438217163086},{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.7381265163421631},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6923367381095886},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.620621383190155},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.556179940700531},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.5259402394294739},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.46422216296195984},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4625503420829773},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.43846699595451355},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4245923161506653},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37117648124694824},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.23985809087753296},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.17568936944007874}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8546438217163086},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.7381265163421631},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6923367381095886},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.620621383190155},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.556179940700531},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.5259402394294739},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.46422216296195984},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4625503420829773},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.43846699595451355},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4245923161506653},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37117648124694824},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.23985809087753296},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.17568936944007874},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0363012902406576","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012902406576","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.8199999928474426,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1487326569","https://openalex.org/W1535489739","https://openalex.org/W1551360398","https://openalex.org/W1608145022","https://openalex.org/W1960239420","https://openalex.org/W1963831447","https://openalex.org/W1973407216","https://openalex.org/W1976930521","https://openalex.org/W1977750299","https://openalex.org/W1980034892","https://openalex.org/W1985842349","https://openalex.org/W1986803284","https://openalex.org/W1991358247","https://openalex.org/W2001405973","https://openalex.org/W2003562515","https://openalex.org/W2003660390","https://openalex.org/W2026692276","https://openalex.org/W2034287087","https://openalex.org/W2035277526","https://openalex.org/W2036602540","https://openalex.org/W2044441046","https://openalex.org/W2044710367","https://openalex.org/W2047102661","https://openalex.org/W2052536743","https://openalex.org/W2059097251","https://openalex.org/W2065012151","https://openalex.org/W2069746992","https://openalex.org/W2079690068","https://openalex.org/W2082022382","https://openalex.org/W2083818478","https://openalex.org/W2090882161","https://openalex.org/W2093020024","https://openalex.org/W2097287227","https://openalex.org/W2133730571","https://openalex.org/W2151920991","https://openalex.org/W2157005917","https://openalex.org/W2221178412","https://openalex.org/W2324882973","https://openalex.org/W2499429061","https://openalex.org/W2563651794","https://openalex.org/W2731245525","https://openalex.org/W4233562042","https://openalex.org/W4237445178","https://openalex.org/W4243833218","https://openalex.org/W4245366276","https://openalex.org/W4251840548"],"related_works":["https://openalex.org/W2076978632","https://openalex.org/W2563165268","https://openalex.org/W2060637293","https://openalex.org/W2142844925","https://openalex.org/W2513211214","https://openalex.org/W4240964608","https://openalex.org/W2047206873","https://openalex.org/W2085577866","https://openalex.org/W1994436307","https://openalex.org/W2198098822"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,10],"nonsmooth":[3],"multiobjective":[4],"optimal":[5],"control":[6],"problem":[7],"related":[8],"to":[9],"general":[11],"preference.":[12],"Both":[13],"differential":[14],"inclusion":[15],"and":[16,23],"endpoint":[17],"constraints":[18],"are":[19,35,41],"involved.":[20],"Necessary":[21],"conditions":[22,26],"Hamiltonian":[24],"necessary":[25],"expressed":[27],"in":[28],"terms":[29],"of":[30,38],"the":[31],"limiting":[32],"Fr\u00e9chet":[33],"subdifferential":[34],"developed.":[36],"Examples":[37],"useful":[39],"preferences":[40],"given.":[42]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2026-03-25T23:56:10.502304","created_date":"2016-06-24T00:00:00"}
