{"id":"https://openalex.org/W1730654144","doi":"https://doi.org/10.1109/acc.2015.7170822","title":"Disturbance rejection of multi-agent systems: A reinforcement learning differential game approach","display_name":"Disturbance rejection of multi-agent systems: A reinforcement learning differential game approach","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1730654144","doi":"https://doi.org/10.1109/acc.2015.7170822","mag":"1730654144"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2015.7170822","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170822","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 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/A5028921727","display_name":"Qiang Jiao","orcid":"https://orcid.org/0000-0002-4725-5284"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiang Jiao","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China","School of Automation, Nanjing University of Science and Technology, 210094, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, 210094, Jiangsu, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063118155","display_name":"Hamidreza Modares","orcid":"https://orcid.org/0000-0003-0800-5140"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hamidreza Modares","raw_affiliation_strings":["University of Texas at Arlington Research Institute, TX, USA","University of Texas at Arlington Research Institute, 7300 Jack Newell Blvd. S., Ft. Worth, 76118, USA"],"affiliations":[{"raw_affiliation_string":"University of Texas at Arlington Research Institute, TX, USA","institution_ids":["https://openalex.org/I189196454"]},{"raw_affiliation_string":"University of Texas at Arlington Research Institute, 7300 Jack Newell Blvd. S., Ft. Worth, 76118, USA","institution_ids":["https://openalex.org/I189196454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100363679","display_name":"Shengyuan Xu","orcid":"https://orcid.org/0000-0002-3015-0662"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengyuan Xu","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China","School of Automation, Nanjing University of Science and Technology, 210094, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, 210094, Jiangsu, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016137188","display_name":"Frank L. Lewis","orcid":"https://orcid.org/0000-0003-4074-1615"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Frank L. Lewis","raw_affiliation_strings":["University of Texas at Arlington Research Institute, TX, USA","University of Texas at Arlington Research Institute, 7300 Jack Newell Blvd. S., Ft. Worth, 76118, USA"],"affiliations":[{"raw_affiliation_string":"University of Texas at Arlington Research Institute, TX, USA","institution_ids":["https://openalex.org/I189196454"]},{"raw_affiliation_string":"University of Texas at Arlington Research Institute, 7300 Jack Newell Blvd. S., Ft. Worth, 76118, USA","institution_ids":["https://openalex.org/I189196454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040301558","display_name":"Kyriakos G. Vamvoudakis","orcid":"https://orcid.org/0000-0003-1978-4848"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]},{"id":"https://openalex.org/I4210140143","display_name":"Dynamic Systems (United States)","ror":"https://ror.org/043vm9914","country_code":"US","type":"company","lineage":["https://openalex.org/I4210140143"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kyriakos G. Vamvoudakis","raw_affiliation_strings":["Center for Control, Dynamical-systems and Computation(CCDC), University of California, Santa Barbara, CA, USA","Center for Control, Dynamical-systems and Computation(CCDC), University of California, Santa Barbara, 93106-9560, USA"],"affiliations":[{"raw_affiliation_string":"Center for Control, Dynamical-systems and Computation(CCDC), University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I4210140143","https://openalex.org/I154570441"]},{"raw_affiliation_string":"Center for Control, Dynamical-systems and Computation(CCDC), University of California, Santa Barbara, 93106-9560, USA","institution_ids":["https://openalex.org/I4210140143","https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5028921727"],"corresponding_institution_ids":["https://openalex.org/I36399199"],"apc_list":null,"apc_paid":null,"fwci":0.6656,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.73140259,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"737","last_page":"742"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9997000098228455,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9940999746322632,"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/convergence","display_name":"Convergence (economics)","score":0.7904500961303711},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.7553566694259644},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6668919920921326},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.553037166595459},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5220149159431458},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.4889591932296753},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.4727664291858673},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4719228744506836},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45931699872016907},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.43372732400894165},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.40040770173072815},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3408399224281311},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3208078145980835},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2437654733657837},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21902430057525635},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09282347559928894},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08344969153404236}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7904500961303711},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.7553566694259644},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6668919920921326},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.553037166595459},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5220149159431458},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.4889591932296753},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.4727664291858673},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4719228744506836},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45931699872016907},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.43372732400894165},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40040770173072815},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3408399224281311},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3208078145980835},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2437654733657837},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21902430057525635},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09282347559928894},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08344969153404236},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2015.7170822","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170822","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W575429305","https://openalex.org/W1579118835","https://openalex.org/W1605963475","https://openalex.org/W1973963158","https://openalex.org/W1984651876","https://openalex.org/W1987847505","https://openalex.org/W2007672844","https://openalex.org/W2009264623","https://openalex.org/W2049040026","https://openalex.org/W2050090436","https://openalex.org/W2086068260","https://openalex.org/W2089955519","https://openalex.org/W2090677396","https://openalex.org/W2097440896","https://openalex.org/W2107396783","https://openalex.org/W2108383324","https://openalex.org/W2113127719","https://openalex.org/W2116479681","https://openalex.org/W2131363581","https://openalex.org/W2136001135","https://openalex.org/W2143853671","https://openalex.org/W2146804198","https://openalex.org/W2147539438","https://openalex.org/W2160643434","https://openalex.org/W2478654971","https://openalex.org/W2484646121","https://openalex.org/W2498694880","https://openalex.org/W3142707771","https://openalex.org/W6681376899","https://openalex.org/W6682089242"],"related_works":["https://openalex.org/W4362501864","https://openalex.org/W4306904969","https://openalex.org/W4380318855","https://openalex.org/W2138720691","https://openalex.org/W2031695474","https://openalex.org/W2586732548","https://openalex.org/W3049728571","https://openalex.org/W20361778","https://openalex.org/W2024136090","https://openalex.org/W2964765435"],"abstract_inverted_index":{"Distributed":[0],"tracking":[1],"control":[2],"of":[3,10,64,92],"multi-agent":[4,47],"linear":[5],"systems":[6],"in":[7,14,89],"the":[8,34,41,55,68,78,90],"presence":[9,91],"disturbances":[11],"is":[12,20,31,51,71,74],"considered":[13],"this":[15,37,65],"paper.":[16],"The":[17,62],"given":[18],"problem":[19,38],"first":[21],"formulated":[22],"into":[23],"a":[24],"multi-player":[25],"zero-sum":[26],"differential":[27],"graphical":[28],"game.":[29],"It":[30,73],"shown":[32,76],"that":[33,77],"solution":[35,56,70],"to":[36,53,57,67],"requires":[39],"solving":[40],"coupled":[42,59],"Hamilton-Jacobi-Isaacs":[43],"(HJI)":[44],"equations.":[45,61],"A":[46],"reinforcement":[48],"learning":[49],"algorithm":[50,66],"developed":[52],"find":[54],"these":[58],"HJI":[60],"convergence":[63],"optimal":[69],"proven.":[72],"also":[75],"proposed":[79],"method":[80],"guarantees":[81],"L":[82],"<inf":[83],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[84],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</inf>":[85],"-bounded":[86],"synchronization":[87],"errors":[88],"dynamical":[93],"disturbances.":[94]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
