{"id":"https://openalex.org/W2020810673","doi":"https://doi.org/10.1007/bf01761702","title":"Duality for differential games and optimal control","display_name":"Duality for differential games and optimal control","publication_year":1974,"publication_date":"1974-03-01","ids":{"openalex":"https://openalex.org/W2020810673","doi":"https://doi.org/10.1007/bf01761702","mag":"2020810673"},"language":"en","primary_location":{"id":"doi:10.1007/bf01761702","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01761702","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Systems Theory","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":"https://openalex.org/A5072890768","display_name":"Otomar H\u00e1jek","orcid":null},"institutions":[{"id":"https://openalex.org/I58956616","display_name":"Case Western Reserve University","ror":"https://ror.org/051fd9666","country_code":"US","type":"education","lineage":["https://openalex.org/I58956616"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Otomar H\u00e1jek","raw_affiliation_strings":["Case Western Reserve University, 44106, Cleveland, Ohio, USA","Case-Western Reserve University Cleveland, USA"],"affiliations":[{"raw_affiliation_string":"Case Western Reserve University, 44106, Cleveland, Ohio, USA","institution_ids":["https://openalex.org/I58956616"]},{"raw_affiliation_string":"Case-Western Reserve University Cleveland, USA","institution_ids":["https://openalex.org/I58956616"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072890768"],"corresponding_institution_ids":["https://openalex.org/I58956616"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.1393,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.75840078,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"8","issue":"1","first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9316999912261963,"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":0.9316999912261963,"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/duality","display_name":"Duality (order theory)","score":0.6386401057243347},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5824956893920898},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45601537823677063},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4339240789413452},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.43261483311653137},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4300236999988556},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.42030632495880127},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41051164269447327},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3658192455768585},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23339685797691345},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1738896667957306},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11291754245758057}],"concepts":[{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6386401057243347},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5824956893920898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45601537823677063},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4339240789413452},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.43261483311653137},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4300236999988556},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.42030632495880127},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41051164269447327},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3658192455768585},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23339685797691345},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1738896667957306},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11291754245758057},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01761702","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01761702","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Systems Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1526586213","https://openalex.org/W2010658614","https://openalex.org/W2041277461","https://openalex.org/W2070267857","https://openalex.org/W2148243748"],"related_works":["https://openalex.org/W4287869118","https://openalex.org/W3005585050","https://openalex.org/W3126195429","https://openalex.org/W4253372294","https://openalex.org/W2593555778","https://openalex.org/W1569390036","https://openalex.org/W2026789159","https://openalex.org/W4256290860","https://openalex.org/W2030449225","https://openalex.org/W4383605029"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}