{"id":"https://openalex.org/W4382936104","doi":"https://doi.org/10.23919/acc55779.2023.10156263","title":"Min-max and stat game representations for nonlinear optimal control problems","display_name":"Min-max and stat game representations for nonlinear optimal control problems","publication_year":2023,"publication_date":"2023-05-31","ids":{"openalex":"https://openalex.org/W4382936104","doi":"https://doi.org/10.23919/acc55779.2023.10156263"},"language":"en","primary_location":{"id":"doi:10.23919/acc55779.2023.10156263","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc55779.2023.10156263","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 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/A5004101031","display_name":"Peter M. Dower","orcid":"https://orcid.org/0000-0002-9791-7776"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Peter M. Dower","raw_affiliation_strings":["University of Melbourne,Department of Electrical & Electronic Engineering,Victoria,Australia,3010"],"affiliations":[{"raw_affiliation_string":"University of Melbourne,Department of Electrical & Electronic Engineering,Victoria,Australia,3010","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069202152","display_name":"William M. McEneaney","orcid":"https://orcid.org/0000-0002-0576-9949"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William M. McEneaney","raw_affiliation_strings":["University of California at San Diego,Department of Mechanical & Aerospace Engineering,La Jolla,CA,USA,92093"],"affiliations":[{"raw_affiliation_string":"University of California at San Diego,Department of Mechanical & Aerospace Engineering,La Jolla,CA,USA,92093","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032269216","display_name":"Yifei Zheng","orcid":"https://orcid.org/0000-0001-9257-8464"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yifei Zheng","raw_affiliation_strings":["University of California at San Diego,Department of Mechanical & Aerospace Engineering,La Jolla,CA,USA,92093"],"affiliations":[{"raw_affiliation_string":"University of California at San Diego,Department of Mechanical & Aerospace Engineering,La Jolla,CA,USA,92093","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5004101031"],"corresponding_institution_ids":["https://openalex.org/I165779595"],"apc_list":null,"apc_paid":null,"fwci":0.6043,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.70813251,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2733","last_page":"2738"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9965000152587891,"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":0.9965000152587891,"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":0.9847999811172485,"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":0.9545999765396118,"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/optimal-control","display_name":"Optimal control","score":0.5588725209236145},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.5405224561691284},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5119584798812866},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4858850836753845},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4752863645553589},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.47126126289367676},{"id":"https://openalex.org/keywords/horizon","display_name":"Horizon","score":0.44540515542030334},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4375230669975281},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4206109941005707},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33778056502342224},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2803359627723694},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.2693256139755249},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.25033050775527954}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5588725209236145},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.5405224561691284},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5119584798812866},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4858850836753845},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4752863645553589},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.47126126289367676},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.44540515542030334},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4375230669975281},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4206109941005707},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33778056502342224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2803359627723694},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.2693256139755249},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.25033050775527954},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc55779.2023.10156263","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc55779.2023.10156263","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1468015989","https://openalex.org/W1487586009","https://openalex.org/W1494380031","https://openalex.org/W2046972933","https://openalex.org/W2475102454","https://openalex.org/W2606462154","https://openalex.org/W2753124902","https://openalex.org/W2766051690","https://openalex.org/W2963220610","https://openalex.org/W3045794144","https://openalex.org/W3046066474","https://openalex.org/W3082552401","https://openalex.org/W4210791600","https://openalex.org/W4283219059","https://openalex.org/W4312916180","https://openalex.org/W6763750456"],"related_works":["https://openalex.org/W1859185863","https://openalex.org/W4307691181","https://openalex.org/W4285537323","https://openalex.org/W2964126589","https://openalex.org/W1932159282","https://openalex.org/W3016225735","https://openalex.org/W1518875602","https://openalex.org/W2282793296","https://openalex.org/W2017412075","https://openalex.org/W2116748936"],"abstract_inverted_index":{"A":[0],"finite":[1],"horizon":[2,51,91],"nonlinear":[3],"optimal":[4,36],"control":[5,37],"problem":[6,38],"is":[7,28,39,53,70,93],"considered":[8,52],"for":[9,34],"which":[10,88],"the":[11,31,42,49,74],"associated":[12],"Hamiltonian":[13],"satisfies":[14],"a":[15,45,62,66,81],"uniform":[16],"semiconcavity":[17],"property":[18],"with":[19],"respect":[20],"to":[21,41,59,80],"its":[22],"state":[23],"and":[24],"costate":[25],"variables.":[26],"It":[27,69],"shown":[29],"that":[30,73],"value":[32,43],"function":[33],"this":[35],"equivalent":[40],"of":[44,61,83],"min-max":[46,75],"game,":[47,86],"provided":[48],"time":[50,90],"sufficiently":[54],"short.":[55],"This":[56],"further":[57,71],"reduces":[58],"maximization":[60],"linear":[63],"functional":[64],"over":[65],"convex":[67],"set.":[68],"proposed":[72],"game":[76],"can":[77],"be":[78],"relaxed":[79],"type":[82],"stat":[84],"(stationary)":[85],"in":[87],"no":[89],"constraint":[92],"involved.":[94]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}