{"id":"https://openalex.org/W4402264208","doi":"https://doi.org/10.23919/acc60939.2024.10644479","title":"On the Optimal Cost and Asymptotic Stability in Two-Player Zero-Sum Set-Valued Hybrid Games","display_name":"On the Optimal Cost and Asymptotic Stability in Two-Player Zero-Sum Set-Valued Hybrid Games","publication_year":2024,"publication_date":"2024-07-10","ids":{"openalex":"https://openalex.org/W4402264208","doi":"https://doi.org/10.23919/acc60939.2024.10644479"},"language":"en","primary_location":{"id":"doi:10.23919/acc60939.2024.10644479","is_oa":false,"landing_page_url":"http://dx.doi.org/10.23919/acc60939.2024.10644479","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5006890411","display_name":"Santiago J. Leudo","orcid":"https://orcid.org/0000-0002-8996-4679"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Santiago J. Leudo","raw_affiliation_strings":["University of California,Electrical and Computer Engineering Department,Santa Cruz,CA,95064"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California,Electrical and Computer Engineering Department,Santa Cruz,CA,95064","institution_ids":["https://openalex.org/I185103710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021602682","display_name":"Francesco Ferrante","orcid":"https://orcid.org/0000-0003-0552-2070"},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesco Ferrante","raw_affiliation_strings":["University of Perugia,Department of Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Perugia,Department of Engineering","institution_ids":["https://openalex.org/I27483092"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028224738","display_name":"Ricardo G. Sanfelice","orcid":"https://orcid.org/0000-0002-6671-5362"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ricardo G. Sanfelice","raw_affiliation_strings":["University of California,Electrical and Computer Engineering Department,Santa Cruz,CA,95064"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California,Electrical and Computer Engineering Department,Santa Cruz,CA,95064","institution_ids":["https://openalex.org/I185103710"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"875","last_page":"880"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9968000054359436,"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":0.9968000054359436,"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/T12158","display_name":"Guidance and Control Systems","score":0.9912999868392944,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9829000234603882,"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/zero","display_name":"Zero (linguistics)","score":0.7334820032119751},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5966704487800598},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5881983637809753},{"id":"https://openalex.org/keywords/zero-sum-game","display_name":"Zero-sum game","score":0.5847725868225098},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5527019500732422},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5075680017471313},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3888428509235382},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3850889503955841},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3387131989002228},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.1880248785018921},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08980244398117065}],"concepts":[{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.7334820032119751},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5966704487800598},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5881983637809753},{"id":"https://openalex.org/C136356330","wikidata":"https://www.wikidata.org/wiki/Q156612","display_name":"Zero-sum game","level":3,"score":0.5847725868225098},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5527019500732422},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5075680017471313},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3888428509235382},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3850889503955841},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3387131989002228},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.1880248785018921},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08980244398117065},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc60939.2024.10644479","is_oa":false,"landing_page_url":"http://dx.doi.org/10.23919/acc60939.2024.10644479","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2936066277","display_name":null,"funder_award_id":"FA9550-19-1-0169,FA9550-20-1-0238,FA9550-23-1-0145,FA9550-23-1-0313","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3341868165","display_name":null,"funder_award_id":"FA8651-22-1-0017,FA8651-23-1-0004","funder_id":"https://openalex.org/F4320338294","funder_display_name":"Air Force Research Laboratory"},{"id":"https://openalex.org/G3936620348","display_name":null,"funder_award_id":"W911NF-20-1-0253","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G4410195762","display_name":null,"funder_award_id":"CNS-2039054,CNS-2111688","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6680417580","display_name":null,"funder_award_id":"W911NF-23-1-0158","funder_id":"https://openalex.org/F4320306078","funder_display_name":"U.S. Department of Defense"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306078","display_name":"U.S. Department of Defense","ror":"https://ror.org/0447fe631"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"},{"id":"https://openalex.org/F4320338294","display_name":"Air Force Research Laboratory","ror":"https://ror.org/02e2egq70"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1581842928","https://openalex.org/W2045005985","https://openalex.org/W2309350575","https://openalex.org/W2657991777","https://openalex.org/W2790527697","https://openalex.org/W2890524341","https://openalex.org/W2898490053","https://openalex.org/W2954822429","https://openalex.org/W2972952987","https://openalex.org/W3118321763","https://openalex.org/W4210450858","https://openalex.org/W4225384811","https://openalex.org/W4234144186","https://openalex.org/W4302033101","https://openalex.org/W4315471950"],"related_works":["https://openalex.org/W3013650182","https://openalex.org/W2989283631","https://openalex.org/W4249605382","https://openalex.org/W2739681863","https://openalex.org/W3170723600","https://openalex.org/W4287122294","https://openalex.org/W2348798467","https://openalex.org/W2039187327","https://openalex.org/W1877069894","https://openalex.org/W1994737592"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,72],"formulate":[4],"a":[5,16,23,27,54,81,98],"two-player":[6],"zero-sum":[7],"game":[8,20],"under":[9,60],"dynamic":[10],"constraints":[11],"formulated":[12],"in":[13,47,97],"terms":[14,48],"of":[15,22,49,83],"hybrid":[17,90],"inclusion.":[18],"The":[19,93],"consists":[21],"min-max":[24],"problem":[25],"involving":[26],"cost":[28,59],"functional":[29],"associated":[30],"to":[31,39,52,65],"the":[32,40,57,61,75,88],"actions":[33],"and":[34,64],"corresponding":[35],"(potentially":[36],"nonunique)":[37],"solutions":[38],"system.":[41,92],"We":[42],"present":[43],"sufficient":[44],"conditions":[45],"given":[46],"Hamilton-Jacobi-Isaacs-like":[50],"equations":[51],"establish":[53],"bound":[55],"on":[56],"worst-case":[58],"optimal":[62,77],"strategy":[63],"exactly":[66],"evaluate":[67],"it.":[68],"Under":[69],"additional":[70],"conditions,":[71],"show":[73],"that":[74],"proposed":[76],"state-feedback":[78],"laws":[79],"render":[80],"set":[82],"interest":[84],"pre-asymptotically":[85],"stable":[86],"for":[87],"resulting":[89],"closed-loop":[91],"results":[94],"are":[95],"illustrated":[96],"numerical":[99],"example.":[100]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}