{"id":"https://openalex.org/W1981120173","doi":"https://doi.org/10.1109/cdc.2012.6426353","title":"Approximate solutions to a class of nonlinear differential games","display_name":"Approximate solutions to a class of nonlinear differential games","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W1981120173","doi":"https://doi.org/10.1109/cdc.2012.6426353","mag":"1981120173"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2012.6426353","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426353","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","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/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":"middle","author":{"id":"https://openalex.org/A5018597173","display_name":"Mario Sassano","orcid":"https://orcid.org/0000-0003-4525-4656"},"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":"M. Sassano","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 Informatica, Sistemi e Produzione, Universit\u00e0 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 Informatica, Sistemi e Produzione, Universit\u00e0 di Roma Tor Vergata, Roma, Italy","institution_ids":["https://openalex.org/I116067653"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":44.8565,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.99363588,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"42","issue":null,"first_page":"6489","last_page":"6494"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T12158","display_name":"Guidance and Control Systems","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9926000237464905,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9919000267982483,"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/class","display_name":"Class (philosophy)","score":0.7130371928215027},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6487010717391968},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5588971972465515},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.5168795585632324},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5115407705307007},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5006365776062012},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.489286869764328},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4830077886581421},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46485841274261475},{"id":"https://openalex.org/keywords/numerical-partial-differential-equations","display_name":"Numerical partial differential equations","score":0.4420989453792572},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.43862175941467285},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40755581855773926},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3144601583480835},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2587927579879761},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.1281094253063202},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10677990317344666},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07428625226020813}],"concepts":[{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7130371928215027},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6487010717391968},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5588971972465515},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.5168795585632324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5115407705307007},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5006365776062012},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.489286869764328},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4830077886581421},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46485841274261475},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.4420989453792572},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.43862175941467285},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40755581855773926},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3144601583480835},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2587927579879761},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.1281094253063202},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10677990317344666},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07428625226020813},{"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},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2012.6426353","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426353","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:art.torvergata.it:2108/211835","is_oa":false,"landing_page_url":"http://hdl.handle.net/2108/211835","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8199999928474426}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1578630563","https://openalex.org/W1581842928","https://openalex.org/W1659904137","https://openalex.org/W2030651021","https://openalex.org/W2034288315","https://openalex.org/W2055300044","https://openalex.org/W2055504162","https://openalex.org/W2062697270","https://openalex.org/W2065529863","https://openalex.org/W2074675586","https://openalex.org/W2075093452","https://openalex.org/W2084901273","https://openalex.org/W2125088529","https://openalex.org/W2125256511","https://openalex.org/W2288231337","https://openalex.org/W2900643393","https://openalex.org/W3125406590","https://openalex.org/W3146391492"],"related_works":["https://openalex.org/W2502480061","https://openalex.org/W4236983193","https://openalex.org/W2889253678","https://openalex.org/W2511654941","https://openalex.org/W323593487","https://openalex.org/W2918846270","https://openalex.org/W1983755086","https://openalex.org/W2101685990","https://openalex.org/W1979790163","https://openalex.org/W3022010538"],"abstract_inverted_index":{"A":[0],"method":[1],"to":[2,6],"find":[3],"approximate":[4],"solutions":[5],"a":[7,27,51],"class":[8],"of":[9,26,36],"nonzero-sum":[10],"differential":[11,16],"games":[12],"without":[13],"solving":[14],"partial":[15],"equations":[17],"is":[18,42,48],"introduced.":[19],"The":[20,39],"solution":[21,35],"relies":[22],"upon":[23],"the":[24,34,45,58],"use":[25],"dynamic":[28],"state":[29],"feedback":[30],"control":[31],"law":[32],"and":[33,50],"algebraic":[37],"equations.":[38],"two-player":[40],"case":[41,47],"addressed":[43],"before":[44],"N-player":[46],"discussed":[49],"numerical":[52],"example":[53],"with":[54],"two":[55],"players":[56],"illustrates":[57],"theory.":[59]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
