Nash Equilibrium Seeking for a Class of Uncertain Nonlinear Multi-Agent Systems

This paper is focused on the Nash equilibrium seeking problem for a class of high-order multi-agent systems perturbed by some static uncertainties. By an embedded design, we convert the problem into some decentralized robust stabilization subproblems and conduct an internal model-based design to rem...

Full description

Saved in:
Bibliographic Details
Main Authors: Tang, Yutao, Zheng, Xianxian
Format: Conference Proceeding
Language:English
Subjects:
Couplings
distributed control
embedded design
Games
internal model
Nash equilibrium
Nonlinear systems
Numerical models
Uncertainty
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page 813
container_issue
container_start_page 809
container_title
container_volume
creator Tang, Yutao
Zheng, Xianxian
description This paper is focused on the Nash equilibrium seeking problem for a class of high-order multi-agent systems perturbed by some static uncertainties. By an embedded design, we convert the problem into some decentralized robust stabilization subproblems and conduct an internal model-based design to remove existing linearly parameterized condition on the uncertainties. The outputs of agents are proven to reach the expected Nash equilibrium of the noncooperative game across the whole multi-agent system. We also present a numerical example to illustrate our algorithm.
doi_str_mv 10.23919/CCC58697.2023.10240305
format conference_proceeding
fullrecord <record><control><sourceid>ieee_CHZPO</sourceid><recordid>TN_cdi_ieee_primary_10240305</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>10240305</ieee_id><sourcerecordid>10240305</sourcerecordid><originalsourceid>FETCH-LOGICAL-i119t-3d1abdbeaf2607e6167a7b53a7e7eae23fd24d6b9e043c12bcd4c970aff77b613</originalsourceid><addsrcrecordid>eNo10L1OwzAUQGGDhEQpfQMk_AIJvnZix2NllR-ptEPpXF0n18WQJhAnQ9-eAZjO9g2HsXsQuVQW7INzrqy0NbkUUuUgZCGUKC_YwprKVpUpKygLdclmEjRk0kpzzW5S-hBCCwtqxrYbTO989T3FNvohTie-I_qM3ZGHfuDIXYsp8T7wfVfTMGLs-Kbv2tgRDvx1aseYLY_UjXx3TiOd0i27CtgmWvx1zvaPqzf3nK23Ty9uuc4igB0z1QD6xhMGqYUhDdqg8aVCQ4aQpAqNLBrtLYlC1SB93RS1NQJDMMZrUHN29-tGIjp8DfGEw_nwP0D9AJqUUNA</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype></control><display><type>conference_proceeding</type><title>Nash Equilibrium Seeking for a Class of Uncertain Nonlinear Multi-Agent Systems</title><source>IEEE Xplore All Conference Series</source><creator>Tang, Yutao ; Zheng, Xianxian</creator><creatorcontrib>Tang, Yutao ; Zheng, Xianxian</creatorcontrib><description>This paper is focused on the Nash equilibrium seeking problem for a class of high-order multi-agent systems perturbed by some static uncertainties. By an embedded design, we convert the problem into some decentralized robust stabilization subproblems and conduct an internal model-based design to remove existing linearly parameterized condition on the uncertainties. The outputs of agents are proven to reach the expected Nash equilibrium of the noncooperative game across the whole multi-agent system. We also present a numerical example to illustrate our algorithm.</description><identifier>EISSN: 2161-2927</identifier><identifier>EISBN: 9789887581543</identifier><identifier>EISBN: 9887581542</identifier><identifier>DOI: 10.23919/CCC58697.2023.10240305</identifier><language>eng</language><publisher>Technical Committee on Control Theory, Chinese Association of Automation</publisher><subject>Couplings ; distributed control ; embedded design ; Games ; internal model ; Nash equilibrium ; Nonlinear systems ; Numerical models ; Uncertainty</subject><ispartof>2023 42nd Chinese Control Conference (CCC), 2023, p.809-813</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/10240305$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>310,311,786,790,795,796,27958,54906,55283</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/10240305$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Tang, Yutao</creatorcontrib><creatorcontrib>Zheng, Xianxian</creatorcontrib><title>Nash Equilibrium Seeking for a Class of Uncertain Nonlinear Multi-Agent Systems</title><title>2023 42nd Chinese Control Conference (CCC)</title><addtitle>CCC</addtitle><description>This paper is focused on the Nash equilibrium seeking problem for a class of high-order multi-agent systems perturbed by some static uncertainties. By an embedded design, we convert the problem into some decentralized robust stabilization subproblems and conduct an internal model-based design to remove existing linearly parameterized condition on the uncertainties. The outputs of agents are proven to reach the expected Nash equilibrium of the noncooperative game across the whole multi-agent system. We also present a numerical example to illustrate our algorithm.</description><subject>Couplings</subject><subject>distributed control</subject><subject>embedded design</subject><subject>Games</subject><subject>internal model</subject><subject>Nash equilibrium</subject><subject>Nonlinear systems</subject><subject>Numerical models</subject><subject>Uncertainty</subject><issn>2161-2927</issn><isbn>9789887581543</isbn><isbn>9887581542</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2023</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><recordid>eNo10L1OwzAUQGGDhEQpfQMk_AIJvnZix2NllR-ptEPpXF0n18WQJhAnQ9-eAZjO9g2HsXsQuVQW7INzrqy0NbkUUuUgZCGUKC_YwprKVpUpKygLdclmEjRk0kpzzW5S-hBCCwtqxrYbTO989T3FNvohTie-I_qM3ZGHfuDIXYsp8T7wfVfTMGLs-Kbv2tgRDvx1aseYLY_UjXx3TiOd0i27CtgmWvx1zvaPqzf3nK23Ty9uuc4igB0z1QD6xhMGqYUhDdqg8aVCQ4aQpAqNLBrtLYlC1SB93RS1NQJDMMZrUHN29-tGIjp8DfGEw_nwP0D9AJqUUNA</recordid><startdate>20230724</startdate><enddate>20230724</enddate><creator>Tang, Yutao</creator><creator>Zheng, Xianxian</creator><general>Technical Committee on Control Theory, Chinese Association of Automation</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>20230724</creationdate><title>Nash Equilibrium Seeking for a Class of Uncertain Nonlinear Multi-Agent Systems</title><author>Tang, Yutao ; Zheng, Xianxian</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i119t-3d1abdbeaf2607e6167a7b53a7e7eae23fd24d6b9e043c12bcd4c970aff77b613</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Couplings</topic><topic>distributed control</topic><topic>embedded design</topic><topic>Games</topic><topic>internal model</topic><topic>Nash equilibrium</topic><topic>Nonlinear systems</topic><topic>Numerical models</topic><topic>Uncertainty</topic><toplevel>online_resources</toplevel><creatorcontrib>Tang, Yutao</creatorcontrib><creatorcontrib>Zheng, Xianxian</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Xplore</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Tang, Yutao</au><au>Zheng, Xianxian</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Nash Equilibrium Seeking for a Class of Uncertain Nonlinear Multi-Agent Systems</atitle><btitle>2023 42nd Chinese Control Conference (CCC)</btitle><stitle>CCC</stitle><date>2023-07-24</date><risdate>2023</risdate><spage>809</spage><epage>813</epage><pages>809-813</pages><eissn>2161-2927</eissn><eisbn>9789887581543</eisbn><eisbn>9887581542</eisbn><abstract>This paper is focused on the Nash equilibrium seeking problem for a class of high-order multi-agent systems perturbed by some static uncertainties. By an embedded design, we convert the problem into some decentralized robust stabilization subproblems and conduct an internal model-based design to remove existing linearly parameterized condition on the uncertainties. The outputs of agents are proven to reach the expected Nash equilibrium of the noncooperative game across the whole multi-agent system. We also present a numerical example to illustrate our algorithm.</abstract><pub>Technical Committee on Control Theory, Chinese Association of Automation</pub><doi>10.23919/CCC58697.2023.10240305</doi><tpages>5</tpages></addata></record>
fulltext fulltext_linktorsrc
identifier EISSN: 2161-2927
ispartof 2023 42nd Chinese Control Conference (CCC), 2023, p.809-813
issn 2161-2927
language eng
recordid cdi_ieee_primary_10240305
source IEEE Xplore All Conference Series
subjects Couplings
distributed control
embedded design
Games
internal model
Nash equilibrium
Nonlinear systems
Numerical models
Uncertainty
title Nash Equilibrium Seeking for a Class of Uncertain Nonlinear Multi-Agent Systems
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-09-23T06%3A32%3A17IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-ieee_CHZPO&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=Nash%20Equilibrium%20Seeking%20for%20a%20Class%20of%20Uncertain%20Nonlinear%20Multi-Agent%20Systems&rft.btitle=2023%2042nd%20Chinese%20Control%20Conference%20(CCC)&rft.au=Tang,%20Yutao&rft.date=2023-07-24&rft.spage=809&rft.epage=813&rft.pages=809-813&rft.eissn=2161-2927&rft_id=info:doi/10.23919/CCC58697.2023.10240305&rft.eisbn=9789887581543&rft.eisbn_list=9887581542&rft_dat=%3Cieee_CHZPO%3E10240305%3C/ieee_CHZPO%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-i119t-3d1abdbeaf2607e6167a7b53a7e7eae23fd24d6b9e043c12bcd4c970aff77b613%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rft_ieee_id=10240305&rfr_iscdi=true