{"id":"https://openalex.org/W4225384811","doi":"https://doi.org/10.1145/3501710.3519514","title":"Sufficient Conditions for Optimality and Asymptotic Stability in Two-Player Zero-Sum Hybrid Games","display_name":"Sufficient Conditions for Optimality and Asymptotic Stability in Two-Player Zero-Sum Hybrid Games","publication_year":2022,"publication_date":"2022-04-28","ids":{"openalex":"https://openalex.org/W4225384811","doi":"https://doi.org/10.1145/3501710.3519514"},"language":"en","primary_location":{"id":"doi:10.1145/3501710.3519514","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3501710.3519514","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3501710.3519514","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"25th ACM International Conference on Hybrid Systems: Computation and Control","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3501710.3519514","any_repository_has_fulltext":null},"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 Jimenez Leudo","raw_affiliation_strings":["Baskin School of Engineering - Department of Electrical and Computer Engineering, University of California, Santa Cruz, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Baskin School of Engineering - Department of Electrical and Computer Engineering, University of California, Santa Cruz, United States","institution_ids":["https://openalex.org/I185103710"]}]},{"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":["Baskin School of Engineering - Department of Electrical and Computer Engineering, University of California, Santa Cruz, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Baskin School of Engineering - Department of Electrical and Computer Engineering, University of California, Santa Cruz, United States","institution_ids":["https://openalex.org/I185103710"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I185103710"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9947999715805054,"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"}},"topics":[{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9947999715805054,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9365000128746033,"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/T10917","display_name":"Smart Grid Security and Resilience","score":0.9132000207901001,"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/bellman-equation","display_name":"Bellman equation","score":0.6870018243789673},{"id":"https://openalex.org/keywords/adversarial-system","display_name":"Adversarial system","score":0.611282229423523},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.596204936504364},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5847723484039307},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.583331286907196},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5823994278907776},{"id":"https://openalex.org/keywords/zero-sum-game","display_name":"Zero-sum game","score":0.576391339302063},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5697009563446045},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5421730875968933},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5140763521194458},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5090286731719971},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4706755578517914},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4404102563858032},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.4276579022407532},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4068974256515503},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.3999510407447815},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.32982033491134644},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3233400583267212},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.18314221501350403},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13419577479362488},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10007268190383911}],"concepts":[{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.6870018243789673},{"id":"https://openalex.org/C37736160","wikidata":"https://www.wikidata.org/wiki/Q1801315","display_name":"Adversarial system","level":2,"score":0.611282229423523},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.596204936504364},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5847723484039307},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.583331286907196},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5823994278907776},{"id":"https://openalex.org/C136356330","wikidata":"https://www.wikidata.org/wiki/Q156612","display_name":"Zero-sum game","level":3,"score":0.576391339302063},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5697009563446045},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5421730875968933},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5140763521194458},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5090286731719971},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4706755578517914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4404102563858032},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.4276579022407532},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4068974256515503},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3999510407447815},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.32982033491134644},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3233400583267212},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.18314221501350403},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13419577479362488},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10007268190383911},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3501710.3519514","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3501710.3519514","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3501710.3519514","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"25th ACM International Conference on Hybrid Systems: Computation and Control","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3501710.3519514","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3501710.3519514","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3501710.3519514","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"25th ACM International Conference on Hybrid Systems: Computation and Control","raw_type":"proceedings-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.8199999928474426,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G1940323886","display_name":null,"funder_award_id":"ECS-1710621","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G2388055263","display_name":null,"funder_award_id":"CNS-2039054","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2774078400","display_name":"Collaborative Research: CPS: Medium: Constraint Aware Planning and Control for Cyber-Physical Systems","funder_award_id":"2039054","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3299356075","display_name":null,"funder_award_id":"Grant no. ECS-1710621, Grant no. CNS-1544396, and Grant no. CNS-2039054","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G36446433","display_name":null,"funder_award_id":"FA9550-20-1","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"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/G4341495065","display_name":null,"funder_award_id":"W911NF-20-1-0253","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G4476256319","display_name":"CPS: Synergy: Collaborative Research: Computationally Aware Cyber-Physical Systems","funder_award_id":"1544396","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5479611822","display_name":null,"funder_award_id":"FA9550-19-1-0053","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G5729145195","display_name":null,"funder_award_id":"FA9550-20","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G6013447344","display_name":null,"funder_award_id":"Grant no. FA9550-19-1-0053, Grant no. FA9550-19-1-0169, and Grant no. FA9550-20-1-0238","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G6191118875","display_name":null,"funder_award_id":"FA9550-19-1-0169","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7107794925","display_name":null,"funder_award_id":"FA9550-20-1-0238","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7133458872","display_name":"Hybrid Predictive Control for Distributed Multi-agent Systems","funder_award_id":"1710621","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7452299184","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G753467326","display_name":null,"funder_award_id":"Grant no. W911NF-20-1-0253","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320328425","display_name":"Fulbright Colombia","ror":null},{"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"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4225384811.pdf","grobid_xml":"https://content.openalex.org/works/W4225384811.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1501040614","https://openalex.org/W1569239057","https://openalex.org/W1577248548","https://openalex.org/W1602537577","https://openalex.org/W1918406761","https://openalex.org/W1975236902","https://openalex.org/W2004110368","https://openalex.org/W2019928135","https://openalex.org/W2053570571","https://openalex.org/W2073858617","https://openalex.org/W2083794570","https://openalex.org/W2084154865","https://openalex.org/W2094992633","https://openalex.org/W2099308299","https://openalex.org/W2120311530","https://openalex.org/W2123357397","https://openalex.org/W2492629073","https://openalex.org/W2580211036","https://openalex.org/W2593263173","https://openalex.org/W2733022358","https://openalex.org/W2782994633","https://openalex.org/W2797051019","https://openalex.org/W2890524341","https://openalex.org/W2953502833","https://openalex.org/W2954822429","https://openalex.org/W2972952987","https://openalex.org/W2997934088","https://openalex.org/W3043644646","https://openalex.org/W3100546998","https://openalex.org/W3104673208","https://openalex.org/W3118321763","https://openalex.org/W3125479578","https://openalex.org/W4245823641","https://openalex.org/W4321321118","https://openalex.org/W4376562541"],"related_works":["https://openalex.org/W3035072031","https://openalex.org/W3011680666","https://openalex.org/W3136378956","https://openalex.org/W3006995042","https://openalex.org/W4287871712","https://openalex.org/W3004964213","https://openalex.org/W2885522335","https://openalex.org/W2128266000","https://openalex.org/W2388876321","https://openalex.org/W1518504063"],"abstract_inverted_index":{"In":[0],"this":[1,75,107],"paper,":[2],"we":[3,60,77],"formulate":[4],"a":[5,29,68],"two-player":[6],"zero-sum":[7],"game":[8],"under":[9,83],"dynamic":[10],"constraints":[11],"given":[12],"in":[13,90],"terms":[14],"of":[15,54,70,86,106,122],"hybrid":[16],"dynamical":[17],"systems.":[18],"We":[19],"present":[20],"sufficient":[21],"conditions":[22],"with":[23],"Hamilton-Jacobi-Isaacs-like":[24],"equations":[25],"to":[26,31],"guarantee":[27],"attaining":[28],"solution":[30],"the":[32,39,42,45,52,63,84,92,120,123],"game.":[33],"It":[34],"is":[35,127],"shown":[36],"that":[37,62,97],"when":[38],"players":[40],"select":[41],"optimal":[43,64,80],"strategy,":[44],"value":[46],"function":[47],"can":[48],"be":[49],"evaluated":[50],"without":[51],"need":[53],"computing":[55],"solutions.":[56],"Under":[57],"additional":[58],"conditions,":[59],"show":[61],"feedback":[65],"laws":[66],"render":[67],"set":[69],"interest":[71],"asymptotically":[72],"stable.":[73],"Using":[74],"framework,":[76],"address":[78],"an":[79,87],"control":[81],"problem":[82],"presence":[85],"adversarial":[88,125],"action":[89,126],"which":[91,119],"decision-making":[93],"agents":[94],"have":[95],"dynamics":[96],"might":[98],"exhibit":[99],"both":[100],"continuous":[101],"and":[102,115],"discrete":[103],"behavior.":[104],"Applications":[105],"problem,":[108],"as":[109],"presented":[110],"here,":[111],"include":[112],"disturbance":[113],"rejection":[114],"security":[116],"scenarios,":[117],"for":[118],"effect":[121],"worst-case":[124],"minimized.":[128]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
