{"id":"https://openalex.org/W4396862075","doi":"https://doi.org/10.1137/23m1579960","title":"Feedback and Open-Loop Nash Equilibria for LQ Infinite-Horizon Discrete-Time Dynamic Games","display_name":"Feedback and Open-Loop Nash Equilibria for LQ Infinite-Horizon Discrete-Time Dynamic Games","publication_year":2024,"publication_date":"2024-05-13","ids":{"openalex":"https://openalex.org/W4396862075","doi":"https://doi.org/10.1137/23m1579960"},"language":"en","primary_location":{"id":"doi:10.1137/23m1579960","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1579960","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5053970110","display_name":"Andrea Monti","orcid":"https://orcid.org/0000-0002-2644-0974"},"institutions":[{"id":"https://openalex.org/I4210139705","display_name":"Ingegneria dei Sistemi (Italy)","ror":"https://ror.org/03spsm219","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210139705"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Monti","raw_affiliation_strings":["Institute for Software Technology at the German Aerospace Center (DLR), 38108, Braunschweig, Germany. This work was carried out while this author was a Ph.D. student at the Dipartimento di Ingegneria Civile e Ingegneria Informatica (DCII), Universit\u00e0 degli Studi di Roma, \u201cTor Vegata,\u201d Via del Politecnico 1, 00133, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Software Technology at the German Aerospace Center (DLR), 38108, Braunschweig, Germany. This work was carried out while this author was a Ph.D. student at the Dipartimento di Ingegneria Civile e Ingegneria Informatica (DCII), Universit\u00e0 degli Studi di Roma, \u201cTor Vegata,\u201d Via del Politecnico 1, 00133, Rome, Italy","institution_ids":["https://openalex.org/I4210139705"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025269314","display_name":"Benita Nortmann","orcid":"https://orcid.org/0000-0002-7997-761X"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Benita Nortmann","raw_affiliation_strings":["Department of Aeronautics, Imperial College London, London SW7 2AZ, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aeronautics, Imperial College London, London SW7 2AZ, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080045020","display_name":"Thulasi Mylvaganam","orcid":"https://orcid.org/0000-0003-1993-4607"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Thulasi Mylvaganam","raw_affiliation_strings":["Department of Aeronautics, Imperial College London, London SW7 2AZ, UK"],"raw_orcid":"https://orcid.org/0000-0003-1993-4607","affiliations":[{"raw_affiliation_string":"Department of Aeronautics, Imperial College London, London SW7 2AZ, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018597173","display_name":"Mario Sassano","orcid":"https://orcid.org/0000-0003-4525-4656"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mario Sassano","raw_affiliation_strings":["Dipartimento di Ingengeria Civile e Ingegneria Informatica, Universit\u00e0 degli Studi di Roma, \u201cTor Vergata,\u201d Via del Politecnico 1, 00133, Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0003-4525-4656","affiliations":[{"raw_affiliation_string":"Dipartimento di Ingengeria Civile e Ingegneria Informatica, Universit\u00e0 degli Studi di Roma, \u201cTor Vergata,\u201d Via del Politecnico 1, 00133, Rome, Italy","institution_ids":["https://openalex.org/I116067653"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9068,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.90848537,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"62","issue":"3","first_page":"1417","last_page":"1436"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9598000049591064,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9598000049591064,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9528999924659729,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9416999816894531,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.7017521858215332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6997002363204956},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6686164140701294},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.49176672101020813},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4869495630264282},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.4428063929080963},{"id":"https://openalex.org/keywords/output-feedback","display_name":"Output feedback","score":0.4329472482204437},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.37927332520484924},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3774835467338562},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3217887580394745},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18948650360107422},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17275872826576233}],"concepts":[{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.7017521858215332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6997002363204956},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6686164140701294},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.49176672101020813},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4869495630264282},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.4428063929080963},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.4329472482204437},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.37927332520484924},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3774835467338562},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3217887580394745},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18948650360107422},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17275872826576233},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/23m1579960","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1579960","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:elib.dlr.de:204689","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23M1579960>.","pdf_url":null,"source":{"id":"https://openalex.org/S4377196266","display_name":"elib (German Aerospace Center)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2898391981","host_organization_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","host_organization_lineage":["https://openalex.org/I2898391981"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Zeitschriftenbeitrag"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2849076957","display_name":null,"funder_award_id":"EP/R513052/1","funder_id":"https://openalex.org/F4320314731","funder_display_name":"UK Research and Innovation"}],"funders":[{"id":"https://openalex.org/F4320314731","display_name":"UK Research and Innovation","ror":"https://ror.org/001aqnf71"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W125196908","https://openalex.org/W1516472381","https://openalex.org/W1594802219","https://openalex.org/W1971499785","https://openalex.org/W1991677230","https://openalex.org/W1998246154","https://openalex.org/W2055300044","https://openalex.org/W2062697270","https://openalex.org/W2088509323","https://openalex.org/W2123288626","https://openalex.org/W2149126215","https://openalex.org/W2484646121","https://openalex.org/W2492629073","https://openalex.org/W2498694880","https://openalex.org/W2588899480","https://openalex.org/W2608634483","https://openalex.org/W2907907364","https://openalex.org/W2907920236","https://openalex.org/W2951270751","https://openalex.org/W3042649591","https://openalex.org/W3086997661","https://openalex.org/W3206908910","https://openalex.org/W3208490979","https://openalex.org/W3216963262","https://openalex.org/W4280569372","https://openalex.org/W4288939032"],"related_works":["https://openalex.org/W1853631319","https://openalex.org/W2092374696","https://openalex.org/W4315489088","https://openalex.org/W2013767790","https://openalex.org/W2481143976","https://openalex.org/W4301347782","https://openalex.org/W3125812435","https://openalex.org/W1667857601","https://openalex.org/W2803932348","https://openalex.org/W1976009178"],"abstract_inverted_index":{"We":[0],"consider":[1,78],"dynamic":[2,21,105,129],"games":[3],"defined":[4],"over":[5],"an":[6],"infinite":[7],"horizon,":[8],"characterized":[9],"by":[10,92],"linear,":[11],"discrete-time":[12,82],"dynamics":[13,89],"and":[14,37,97,107,133],"quadratic":[15],"cost":[16],"functionals.":[17],"Considering":[18],"such":[19],"linear-quadratic":[20],"games,":[22],"we":[23,77,112],"focus":[24],"on":[25],"their":[26],"solutions":[27,42],"in":[28,61],"terms":[29],"of":[30,47,74,121,124,127],"Nash":[31,40],"equilibrium":[32,41],"strategies.":[33],"Both":[34],"feedback":[35],"(F-NE)":[36],"open-loop":[38],"(OL-NE)":[39],"are":[43,50,90,140],"considered.":[44],"The":[45,131],"contributions":[46],"the":[48,88,114,125,138],"paper":[49,139],"threefold.":[51],"First,":[52],"our":[53,72],"detailed":[54],"study":[55],"reveals":[56],"some":[57],"interesting":[58],"structural":[59],"insights":[60],"relation":[62],"to":[63,117],"F-NE":[64],"solutions.":[65],"Second,":[66],"as":[67],"a":[68,79,93,119,143],"stepping":[69],"stone":[70],"toward":[71],"consideration":[73],"OL-NE":[75,122],"strategies,":[76],"specific":[80],"infinite-horizon":[81,128],"(single-player)":[83],"optimal":[84],"control":[85],"problem,":[86],"wherein":[87],"influenced":[91],"known":[94],"exogenous":[95],"input":[96],"draw":[98],"connections":[99],"between":[100],"its":[101],"solution":[102],"obtained":[103],"via":[104,142],"programming":[106],"Pontryagin\u2019s":[108],"minimum":[109],"principle.":[110],"Finally,":[111],"exploit":[113],"latter":[115],"result":[116],"provide":[118],"characterization":[120],"strategies":[123],"class":[126],"games.":[130],"results":[132],"key":[134],"observations":[135],"made":[136],"throughout":[137],"illustrated":[141],"numerical":[144],"example.":[145]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4}],"updated_date":"2026-06-12T08:23:45.883708","created_date":"2025-10-10T00:00:00"}
