{"id":"https://openalex.org/W4415971177","doi":"https://doi.org/10.1109/tase.2025.3629540","title":"Distributed Global Nash Containment Control and Learning of Multiplayer Multiagent Systems","display_name":"Distributed Global Nash Containment Control and Learning of Multiplayer Multiagent Systems","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4415971177","doi":"https://doi.org/10.1109/tase.2025.3629540"},"language":null,"primary_location":{"id":"doi:10.1109/tase.2025.3629540","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3629540","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","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/A5101743497","display_name":"Yizhong Zhang","orcid":"https://orcid.org/0000-0002-4312-0040"},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yizhong Zhang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Auburn University, Auburn, AL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Auburn University, Auburn, AL, USA","institution_ids":["https://openalex.org/I82497590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001862814","display_name":"Bosen Lian","orcid":"https://orcid.org/0000-0002-3275-9551"},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bosen Lian","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Auburn University, Auburn, AL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Auburn University, Auburn, AL, USA","institution_ids":["https://openalex.org/I82497590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102973745","display_name":"Wenqian Xue","orcid":"https://orcid.org/0000-0002-3670-3854"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wenqian Xue","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049204851","display_name":"Dariusz Mikulski","orcid":"https://orcid.org/0000-0002-7520-0969"},"institutions":[{"id":"https://openalex.org/I1304082316","display_name":"United States Department of the Army","ror":"https://ror.org/035w1gb98","country_code":"US","type":"government","lineage":["https://openalex.org/I1304082316","https://openalex.org/I1330347796"]},{"id":"https://openalex.org/I4388482723","display_name":"U.S. Army Combat Capabilities Development Command Ground Vehicle System Center","ror":"https://ror.org/026zar759","country_code":null,"type":"facility","lineage":["https://openalex.org/I1304082316","https://openalex.org/I1330347796","https://openalex.org/I2802705668","https://openalex.org/I4210154437","https://openalex.org/I4388482723"]},{"id":"https://openalex.org/I4210088792","display_name":"United States Army","ror":"https://ror.org/00afsp483","country_code":"US","type":"funder","lineage":["https://openalex.org/I1304082316","https://openalex.org/I1330347796","https://openalex.org/I4210088792"]},{"id":"https://openalex.org/I2802705668","display_name":"United States Army Combat Capabilities Development Command","ror":"https://ror.org/02rdkx920","country_code":"US","type":"other","lineage":["https://openalex.org/I1304082316","https://openalex.org/I1330347796","https://openalex.org/I2802705668","https://openalex.org/I4210154437"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dariusz G. Mikulski","raw_affiliation_strings":["U.S. Army DEVCOM Ground Vehicle Systems Center, Warren, MI, USA","US Army DEVCOM Ground Vehicle Systems Center, Warren, MI, USA"],"affiliations":[{"raw_affiliation_string":"U.S. Army DEVCOM Ground Vehicle Systems Center, Warren, MI, USA","institution_ids":["https://openalex.org/I1304082316","https://openalex.org/I2802705668","https://openalex.org/I4210088792","https://openalex.org/I4388482723"]},{"raw_affiliation_string":"US Army DEVCOM Ground Vehicle Systems Center, Warren, MI, USA","institution_ids":["https://openalex.org/I1304082316","https://openalex.org/I2802705668","https://openalex.org/I4388482723"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033328954","display_name":"Gregory R. Hudas","orcid":"https://orcid.org/0000-0002-1322-5028"},"institutions":[{"id":"https://openalex.org/I1304082316","display_name":"United States Department of the Army","ror":"https://ror.org/035w1gb98","country_code":"US","type":"government","lineage":["https://openalex.org/I1304082316","https://openalex.org/I1330347796"]},{"id":"https://openalex.org/I4210088792","display_name":"United States Army","ror":"https://ror.org/00afsp483","country_code":"US","type":"funder","lineage":["https://openalex.org/I1304082316","https://openalex.org/I1330347796","https://openalex.org/I4210088792"]},{"id":"https://openalex.org/I4388482723","display_name":"U.S. Army Combat Capabilities Development Command Ground Vehicle System Center","ror":"https://ror.org/026zar759","country_code":null,"type":"facility","lineage":["https://openalex.org/I1304082316","https://openalex.org/I1330347796","https://openalex.org/I2802705668","https://openalex.org/I4210154437","https://openalex.org/I4388482723"]},{"id":"https://openalex.org/I2802705668","display_name":"United States Army Combat Capabilities Development Command","ror":"https://ror.org/02rdkx920","country_code":"US","type":"other","lineage":["https://openalex.org/I1304082316","https://openalex.org/I1330347796","https://openalex.org/I2802705668","https://openalex.org/I4210154437"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gregory R. Hudas","raw_affiliation_strings":["U.S. Army DEVCOM Ground Vehicle Systems Center, Warren, MI, USA","US Army DEVCOM Ground Vehicle Systems Center, Warren, MI, USA"],"affiliations":[{"raw_affiliation_string":"U.S. Army DEVCOM Ground Vehicle Systems Center, Warren, MI, USA","institution_ids":["https://openalex.org/I1304082316","https://openalex.org/I2802705668","https://openalex.org/I4210088792","https://openalex.org/I4388482723"]},{"raw_affiliation_string":"US Army DEVCOM Ground Vehicle Systems Center, Warren, MI, USA","institution_ids":["https://openalex.org/I1304082316","https://openalex.org/I2802705668","https://openalex.org/I4388482723"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101743497"],"corresponding_institution_ids":["https://openalex.org/I82497590"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.35565469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":null,"first_page":"23835","last_page":"23848"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.8998000025749207,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.8998000025749207,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.06210000067949295,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.007699999958276749,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/nash-equilibrium","display_name":"Nash equilibrium","score":0.6948999762535095},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.583899974822998},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5472000241279602},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.5333999991416931},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.4779999852180481},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4772999882698059},{"id":"https://openalex.org/keywords/containment","display_name":"Containment (computer programming)","score":0.4738999903202057},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.43380001187324524},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.38960000872612}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6948999762535095},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5942000150680542},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.583899974822998},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5476999878883362},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5472000241279602},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.5333999991416931},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.4779999852180481},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4772999882698059},{"id":"https://openalex.org/C2777019822","wikidata":"https://www.wikidata.org/wiki/Q390066","display_name":"Containment (computer programming)","level":2,"score":0.4738999903202057},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.43380001187324524},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.38960000872612},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.38530001044273376},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.38519999384880066},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.3772999942302704},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.3450999855995178},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.3418000042438507},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.3310999870300293},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.32269999384880066},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.31290000677108765},{"id":"https://openalex.org/C74222875","wikidata":"https://www.wikidata.org/wiki/Q16000312","display_name":"Robot kinematics","level":4,"score":0.2985000014305115},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.2827000021934509},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.27900001406669617},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.27790001034736633},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.2761000096797943},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.2637999951839447},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.26190000772476196},{"id":"https://openalex.org/C205875254","wikidata":"https://www.wikidata.org/wiki/Q17156857","display_name":"Decentralised system","level":3,"score":0.251800000667572},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.2506999969482422}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2025.3629540","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3629540","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1981934471","https://openalex.org/W2047417907","https://openalex.org/W2055891887","https://openalex.org/W2068949505","https://openalex.org/W2072302088","https://openalex.org/W2075093452","https://openalex.org/W2084580258","https://openalex.org/W2099175737","https://openalex.org/W2108383324","https://openalex.org/W2112474089","https://openalex.org/W2115206688","https://openalex.org/W2123876595","https://openalex.org/W2139416664","https://openalex.org/W2160643434","https://openalex.org/W2320262435","https://openalex.org/W2321250738","https://openalex.org/W2475651303","https://openalex.org/W2484646121","https://openalex.org/W2492629073","https://openalex.org/W2531648764","https://openalex.org/W2615040076","https://openalex.org/W2897355009","https://openalex.org/W2983464671","https://openalex.org/W2991046523","https://openalex.org/W3009014967","https://openalex.org/W3137906938","https://openalex.org/W3186624155","https://openalex.org/W3209777177","https://openalex.org/W3210830506","https://openalex.org/W4236158019","https://openalex.org/W4246447829","https://openalex.org/W4250589301","https://openalex.org/W4256175784","https://openalex.org/W4285209266","https://openalex.org/W4307776787","https://openalex.org/W4362654456","https://openalex.org/W4385194856","https://openalex.org/W4386472868","https://openalex.org/W4387083432","https://openalex.org/W4387610582","https://openalex.org/W4392476537","https://openalex.org/W4394744264","https://openalex.org/W4400078339","https://openalex.org/W4400877505","https://openalex.org/W4402624667","https://openalex.org/W4408566536"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"multiplayer":[3],"multiagent":[4],"differential":[5],"graphical":[6],"games,":[7,82,115],"where":[8],"each":[9,46],"agent":[10],"represents":[11],"a":[12,134],"linear":[13],"dynamic":[14],"system":[15,156,164],"with":[16],"multiple":[17],"heterogeneous":[18],"control":[19,32,78,90,95,149,170,174],"inputs,":[20],"referred":[21],"to":[22,31,35,86,99],"as":[23,102,176],"players.":[24],"The":[25,92,111,166],"objective":[26],"of":[27,42,113,119,145,154,163],"the":[28,39,43,58,65,81,88,114,116,120,125,142,146,155,182],"games":[29],"is":[30,53,97,104],"all":[33,84],"followers":[34],"achieve":[36],"containment":[37],"within":[38],"convex":[40],"hull":[41],"leaders.":[44],"Meanwhile,":[45],"player":[47],"minimizes":[48],"its":[49],"cost":[50],"function,":[51],"which":[52],"also":[54],"jointly":[55],"affected":[56],"by":[57,159],"other":[59],"players":[60,85],"and":[61,67,124,171],"neighboring":[62,68],"states":[63],"in":[64,80],"same":[66],"agents.":[69],"We":[70],"design":[71],"global":[72,93,127],"Nash":[73,94,148],"equilibrium":[74],"(NE)":[75],"(called":[76],"Nash)":[77],"policies":[79],"enabling":[83],"play":[87],"optimal":[89,169,173],"policies.":[91],"solution":[96],"ensured":[98],"be":[100],"distributed":[101,126,147],"it":[103],"computed":[105],"using":[106],"only":[107],"local":[108,121],"agents\u2019":[109],"states.":[110],"solvability":[112],"asymptotic":[117],"stability":[118],"error":[122],"system,":[123],"NE":[128],"property":[129],"are":[130],"guaranteed.":[131],"In":[132],"addition,":[133],"data-driven":[135],"integral":[136],"reinforcement":[137],"learning":[138],"(RL)":[139],"algorithm":[140,167],"ensures":[141],"online":[143,161],"computation":[144],"without":[150],"requiring":[151],"explicit":[152],"knowledge":[153],"model":[157],"matrices,":[158],"utilizing":[160],"measurements":[162],"trajectories.":[165],"solves":[168],"inverse":[172],"(IOC)":[175],"subproblems.":[177],"A":[178],"simulation":[179],"example":[180],"validates":[181],"algorithms.":[183]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-11-06T00:00:00"}