{"id":"https://openalex.org/W1968076711","doi":"https://doi.org/10.1109/cdc.2014.7039417","title":"Approximate solutions to a class of nonlinear Stackelberg differential games","display_name":"Approximate solutions to a class of nonlinear Stackelberg differential games","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W1968076711","doi":"https://doi.org/10.1109/cdc.2014.7039417","mag":"1968076711"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2014.7039417","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039417","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/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":"T. Mylvaganam","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018225150","display_name":"Alessandro Astolfi","orcid":"https://orcid.org/0000-0002-4331-454X"},"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"]},{"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","IT"],"is_corresponding":false,"raw_author_name":"A. Astolfi","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, UK","Dipartimento di Ingegneria Civile e Ingegneria Informatica, Universita di Roma \u201cTor Vergata\u201d, Roma, Italy","Dipartimento di Ingegneria Civile e Ingegneria Informatica, Universita di Roma \"Tor Vergata\", Roma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Civile e Ingegneria Informatica, Universita di Roma \u201cTor Vergata\u201d, Roma, Italy","institution_ids":["https://openalex.org/I116067653"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Civile e Ingegneria Informatica, Universita di Roma \"Tor Vergata\", Roma, Italy","institution_ids":["https://openalex.org/I116067653"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"420","last_page":"425"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9819999933242798,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9797999858856201,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stackelberg-competition","display_name":"Stackelberg competition","score":0.9564313888549805},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6660066843032837},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.6612803936004639},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5719928741455078},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5452379584312439},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5367015600204468},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5244441628456116},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4390184283256531},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40860649943351746},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3636590242385864},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3608866333961487},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26859432458877563},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07628199458122253},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.049014270305633545}],"concepts":[{"id":"https://openalex.org/C199510392","wikidata":"https://www.wikidata.org/wiki/Q1184602","display_name":"Stackelberg competition","level":2,"score":0.9564313888549805},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6660066843032837},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.6612803936004639},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5719928741455078},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5452379584312439},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5367015600204468},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5244441628456116},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4390184283256531},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40860649943351746},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3636590242385864},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3608866333961487},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26859432458877563},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07628199458122253},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.049014270305633545},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2014.7039417","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039417","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1495711302","https://openalex.org/W1500136648","https://openalex.org/W1546379251","https://openalex.org/W1566322288","https://openalex.org/W1578630563","https://openalex.org/W1581842928","https://openalex.org/W1601225519","https://openalex.org/W1659904137","https://openalex.org/W1981120173","https://openalex.org/W1986787527","https://openalex.org/W1999104080","https://openalex.org/W2032085216","https://openalex.org/W2055300044","https://openalex.org/W2055504162","https://openalex.org/W2062697270","https://openalex.org/W2074675586","https://openalex.org/W2084901273","https://openalex.org/W2151852050","https://openalex.org/W2330024298","https://openalex.org/W2950156793","https://openalex.org/W4234761190","https://openalex.org/W6630035299","https://openalex.org/W6632879100","https://openalex.org/W6634110020","https://openalex.org/W6645444306"],"related_works":["https://openalex.org/W1988922213","https://openalex.org/W2091923150","https://openalex.org/W2364446825","https://openalex.org/W1564190868","https://openalex.org/W2022702275","https://openalex.org/W3041410939","https://openalex.org/W3122364233","https://openalex.org/W1983902399","https://openalex.org/W4256290860","https://openalex.org/W2030449225"],"abstract_inverted_index":{"A":[0,46],"two-player":[1],"nonlinear":[2],"Stackelberg":[3,21],"differential":[4,34,53,72],"game":[5],"with":[6],"player":[7,10],"1":[8],"and":[9,14],"2":[11],"as":[12],"leader":[13],"follower,":[15],"respectively,":[16],"is":[17,60,63,76],"considered.":[18],"The":[19,74],"feedback":[20],"solutions":[22,40,69],"to":[23,70],"such":[24],"games":[25],"rely":[26],"on":[27],"the":[28,58,71],"solution":[29],"of":[30,57],"two":[31],"coupled":[32],"partial":[33,52],"equations":[35],"(PDEs)":[36],"for":[37,48],"which":[38],"closed-form":[39],"cannot":[41],"in":[42,55],"general":[43],"be":[44],"found.":[45],"method":[47],"constructing":[49],"strategies":[50],"satisfying":[51],"inequalities":[54],"place":[56],"PDEs":[59],"presented.":[61],"It":[62],"shown":[64],"that":[65],"these":[66],"constitute":[67],"approximate":[68],"game.":[73],"theory":[75],"illustrated":[77],"by":[78],"a":[79],"numerical":[80],"example.":[81]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}