{"id":"https://openalex.org/W3216879630","doi":"https://doi.org/10.1109/tac.2021.3131553","title":"Distributed Nash Equilibrium Seeking for Games in Second-Order Systems Without Velocity Measurement","display_name":"Distributed Nash Equilibrium Seeking for Games in Second-Order Systems Without Velocity Measurement","publication_year":2021,"publication_date":"2021-11-30","ids":{"openalex":"https://openalex.org/W3216879630","doi":"https://doi.org/10.1109/tac.2021.3131553","mag":"3216879630"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3131553","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3131553","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5007560008","display_name":"Maojiao Ye","orcid":"https://orcid.org/0000-0001-5553-9124"},"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":"Maojiao Ye","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085634729","display_name":"Jizhao Yin","orcid":"https://orcid.org/0000-0002-4004-0168"},"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":"Jizhao Yin","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101424749","display_name":"Le Yin","orcid":"https://orcid.org/0000-0001-5016-7237"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Le Yin","raw_affiliation_strings":["School of Computer, and Information Science, Southwest University, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"School of Computer, and Information Science, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5007560008"],"corresponding_institution_ids":["https://openalex.org/I36399199"],"apc_list":null,"apc_paid":null,"fwci":4.4316,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.94699309,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"67","issue":"11","first_page":"6195","last_page":"6202"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9993000030517578,"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":0.9993000030517578,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.996999979019165,"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/T12794","display_name":"Adaptive Dynamic Programming Control","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"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.8289201855659485},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.5682164430618286},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.5444480180740356},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4765123426914215},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4753955602645874},{"id":"https://openalex.org/keywords/equilibrium-selection","display_name":"Equilibrium selection","score":0.4481821358203888},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4427386224269867},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.420291006565094},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3601839542388916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3263075053691864},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1980573832988739},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.1154617965221405}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.8289201855659485},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.5682164430618286},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.5444480180740356},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4765123426914215},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4753955602645874},{"id":"https://openalex.org/C164407509","wikidata":"https://www.wikidata.org/wiki/Q5384490","display_name":"Equilibrium selection","level":4,"score":0.4481821358203888},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4427386224269867},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.420291006565094},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3601839542388916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3263075053691864},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1980573832988739},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.1154617965221405},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2021.3131553","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3131553","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1524860823","display_name":null,"funder_award_id":"30920032203","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G4377164657","display_name":null,"funder_award_id":"61803202","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7239992543","display_name":null,"funder_award_id":"62003282","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7533109199","display_name":null,"funder_award_id":"62173181","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8038647406","display_name":null,"funder_award_id":"BK20180455","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1630241696","https://openalex.org/W1982469113","https://openalex.org/W1993423039","https://openalex.org/W2001738174","https://openalex.org/W2026018281","https://openalex.org/W2043481280","https://openalex.org/W2128658178","https://openalex.org/W2158516389","https://openalex.org/W2165756371","https://openalex.org/W2345998142","https://openalex.org/W2478654971","https://openalex.org/W2501656778","https://openalex.org/W2760196799","https://openalex.org/W2766719770","https://openalex.org/W2912574825","https://openalex.org/W2952167317","https://openalex.org/W2962910407","https://openalex.org/W2971931235","https://openalex.org/W2982093875","https://openalex.org/W2991140437","https://openalex.org/W3028039225","https://openalex.org/W3036442660","https://openalex.org/W3042859406","https://openalex.org/W3091464182","https://openalex.org/W3105353019","https://openalex.org/W3108100172","https://openalex.org/W3113915485","https://openalex.org/W3158246150"],"related_works":["https://openalex.org/W1853631319","https://openalex.org/W2013767790","https://openalex.org/W4315489088","https://openalex.org/W4299551322","https://openalex.org/W2025767136","https://openalex.org/W211718035","https://openalex.org/W4302558842","https://openalex.org/W3125812435","https://openalex.org/W4301347782","https://openalex.org/W1667857601"],"abstract_inverted_index":{"The":[0,66,94],"design":[1],"of":[2,15,59,114,124,131,190],"distributed":[3,135],"Nash":[4,136,163,179],"equilibrium-seeking":[5,137,180],"strategies":[6,138],"for":[7,34,51,187],"games":[8],"in":[9,21,37,118],"which":[10,75,117],"the":[11,45,52,57,77,81,86,91,108,112,115,121,125,129,132,155,162,176,188,191],"involved":[12],"players":[13],"are":[14,28,48,64,139],"second-order":[16],"integrator-type":[17],"dynamics":[18],"is":[19,69,97,105,151,185],"investigated":[20],"this":[22,41],"article.":[23],"Noticing":[24],"that":[25,44,154],"velocity":[26,46,60],"signals":[27,47],"usually":[29],"noisy":[30],"or":[31],"not":[32,49],"available":[33],"feedback":[35],"control":[36],"practical":[38],"engineering":[39],"systems,":[40],"article":[42],"supposes":[43],"accessible":[50],"players.":[53],"To":[54],"deal":[55],"with":[56,145],"absence":[58],"measurements,":[61],"two":[62],"estimators":[63],"designed.":[65],"first":[67],"estimator":[68,96],"established":[70,141],"by":[71,107,174],"employing":[72],"an":[73],"observer,":[74],"has":[76],"same":[78],"order":[79,113],"as":[80],"players\u2019":[82,92,156],"dynamics,":[83],"to":[84,110,161,172],"estimate":[85],"unavailable":[87],"system":[88],"states":[89],"(e.g.,":[90],"velocities).":[93],"second":[95],"designed":[98,133],"based":[99],"on":[100],"a":[101],"high-pass":[102],"filter":[103],"and":[104,147,166],"motivated":[106],"incentive":[109],"reduce":[111],"estimator,":[116],"turn":[119],"saves":[120],"computation":[122],"costs":[123],"seeking":[126],"algorithms.":[127,149,193],"On":[128],"basis":[130],"observers/filters,":[134],"then":[140],"through":[142],"incorporating":[143],"them":[144],"consensus":[146],"gradient":[148],"It":[150],"analytically":[152],"proven":[153],"actions":[157],"can":[158,169],"be":[159,170],"regulated":[160,171],"equilibrium":[164],"point":[165],"their":[167],"velocities":[168],"zero":[173],"utilizing":[175],"proposed":[177,192],"velocity-free":[178],"strategies.":[181],"A":[182],"numerical":[183],"example":[184],"provided":[186],"verification":[189]},"counts_by_year":[{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}