{"id":"https://openalex.org/W4415180258","doi":"https://doi.org/10.23919/ecc65951.2025.11186993","title":"Stabilizing Model Predictive Control for Generalized Nash Equilibrium Problems using Approximation by \u03b1-quasi-GNEPs and Lyapunov End Cost","display_name":"Stabilizing Model Predictive Control for Generalized Nash Equilibrium Problems using Approximation by \u03b1-quasi-GNEPs and Lyapunov End Cost","publication_year":2025,"publication_date":"2025-06-24","ids":{"openalex":"https://openalex.org/W4415180258","doi":"https://doi.org/10.23919/ecc65951.2025.11186993"},"language":"en","primary_location":{"id":"doi:10.23919/ecc65951.2025.11186993","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc65951.2025.11186993","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 European Control Conference (ECC)","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/A5013267856","display_name":"Falk M. Hante","orcid":"https://orcid.org/0000-0001-9762-2903"},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Falk M. Hante","raw_affiliation_strings":["Humboldt-Universit&#x00E4;t zu Berlin,Department of Mathematics,Berlin,Germany,10099"],"affiliations":[{"raw_affiliation_string":"Humboldt-Universit&#x00E4;t zu Berlin,Department of Mathematics,Berlin,Germany,10099","institution_ids":["https://openalex.org/I39343248"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078665598","display_name":"Antonia Topalovi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Antonia Topalovi\u0107","raw_affiliation_strings":["Humboldt-Universit&#x00E4;t zu Berlin,Department of Mathematics,Berlin,Germany,10099"],"affiliations":[{"raw_affiliation_string":"Humboldt-Universit&#x00E4;t zu Berlin,Department of Mathematics,Berlin,Germany,10099","institution_ids":["https://openalex.org/I39343248"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013267856"],"corresponding_institution_ids":["https://openalex.org/I39343248"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.36397669,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2427","last_page":"2432"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9966999888420105,"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"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9966999888420105,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9605000019073486,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9401999711990356,"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/model-predictive-control","display_name":"Model predictive control","score":0.6579999923706055},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6478000283241272},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6424999833106995},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5490999817848206},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5238000154495239},{"id":"https://openalex.org/keywords/terminal","display_name":"Terminal (telecommunication)","score":0.5187000036239624},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5153999924659729},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.5038999915122986}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.6579999923706055},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6478000283241272},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6424999833106995},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5515000224113464},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5490999817848206},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5442000031471252},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5238000154495239},{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.5187000036239624},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5153999924659729},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.5038999915122986},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.48820000886917114},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.400299996137619},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.36899998784065247},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.3612000048160553},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35199999809265137},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.33629998564720154},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.32839998602867126},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3192000091075897},{"id":"https://openalex.org/C101403955","wikidata":"https://www.wikidata.org/wiki/Q6707083","display_name":"Lyapunov optimization","level":5,"score":0.30970001220703125},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.30799999833106995},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.2939000129699707},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.26179999113082886}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc65951.2025.11186993","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc65951.2025.11186993","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1105738938","https://openalex.org/W1951178238","https://openalex.org/W1965826098","https://openalex.org/W1997949764","https://openalex.org/W2008588420","https://openalex.org/W2016211524","https://openalex.org/W2041109651","https://openalex.org/W2135846990","https://openalex.org/W2161040592","https://openalex.org/W2467357393","https://openalex.org/W2488582063","https://openalex.org/W2492629073","https://openalex.org/W2563378438","https://openalex.org/W2736563494","https://openalex.org/W2801983614","https://openalex.org/W2803131057","https://openalex.org/W2894799574","https://openalex.org/W2921700974"],"related_works":[],"abstract_inverted_index":{"We":[0],"study":[1],"model":[2],"predictive":[3],"control":[4,117],"(MPC)":[5],"schemes":[6],"for":[7,119,126],"non-cooperative":[8],"dynamic":[9,14],"games":[10,15],"regarding":[11],"stabilization.":[12],"The":[13,141],"are":[16,42,144],"modelled":[17],"as":[18,31],"generalized":[19],"Nash":[20],"equilibrium":[21],"problems":[22],"(GNEPs),":[23],"in":[24,77,83],"which":[25,54,73],"a":[26,32,87,95,104,114],"shared":[27],"constraint":[28],"is":[29],"given":[30],"jointly":[33],"controlled":[34],"time-discrete":[35],"(linear)":[36],"dynamics.":[37],"Furthermore,":[38,91],"the":[39,45,50,56,60,70,78,84,120,128,138],"players\u2019":[40,71],"objectives":[41,72],"interdependent.":[43],"For":[44],"stability":[46,76],"analysis,":[47],"we":[48,66,92],"introduce":[49],"class":[51],"of":[52,80,86],"\u03b1-quasi-GNEPs,":[53],"approximate":[55],"original":[57],"games.":[58],"Basing":[59],"MPC":[61,106,110],"scheme":[62,111],"on":[63,69,113],"these":[64],"instead,":[65],"derive":[67],"conditions":[68],"guarantee":[74],"asymptotic":[75],"presence":[79],"stabilizing":[81],"constraints":[82],"form":[85],"Lyapunov":[88,97,129],"terminal":[89,98],"cost.":[90,122],"show":[93],"that":[94],"suitable":[96],"cost":[99,130],"can":[100,131],"be":[101,132],"obtained":[102],"from":[103],"non-game-based":[105,109],"scheme.":[107],"This":[108],"relies":[112],"classical":[115],"optimal":[116],"problem":[118],"aggregated":[121],"Hence,":[123],"known":[124],"results":[125,143],"determining":[127],"applied":[133],"and":[134],"carried":[135],"over":[136],"to":[137],"game-based":[139],"setting.":[140],"theoretical":[142],"complemented":[145],"by":[146],"numerical":[147],"experiments.":[148]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-15T00:00:00"}
