{"id":"https://openalex.org/W4390692583","doi":"https://doi.org/10.1109/tac.2024.3352447","title":"A Nonlinear Adaptive $H_{\\infty }$ Optimal Control Method Without Solving HJIE: An Analytical Approach","display_name":"A Nonlinear Adaptive $H_{\\infty }$ Optimal Control Method Without Solving HJIE: An Analytical Approach","publication_year":2024,"publication_date":"2024-01-10","ids":{"openalex":"https://openalex.org/W4390692583","doi":"https://doi.org/10.1109/tac.2024.3352447"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3352447","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3352447","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5075071915","display_name":"Zahra Tavanaei Sereshki","orcid":"https://orcid.org/0000-0002-5890-7647"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Z. Tavanaei Sereshki","raw_affiliation_strings":["Department of Electrical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032706707","display_name":"Heidar Ali Talebi","orcid":"https://orcid.org/0000-0001-6038-2109"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"H.A. Talebi","raw_affiliation_strings":["Department of Electrical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042263160","display_name":"Farzaneh Abdollahi","orcid":"https://orcid.org/0000-0003-4957-987X"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"F. Abdollahi","raw_affiliation_strings":["Department of Electrical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075071915"],"corresponding_institution_ids":["https://openalex.org/I158248296"],"apc_list":null,"apc_paid":null,"fwci":1.0851,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7669703,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"69","issue":"6","first_page":"4126","last_page":"4133"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.996999979019165,"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"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.996999979019165,"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"}},{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.972000002861023,"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/nonlinear-system","display_name":"Nonlinear system","score":0.5658772587776184},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5180020928382874},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.494669646024704},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48656097054481506},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.460946649312973},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.4351334571838379},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.42596128582954407},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32225099205970764},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.25148558616638184}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5658772587776184},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5180020928382874},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.494669646024704},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48656097054481506},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.460946649312973},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.4351334571838379},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.42596128582954407},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32225099205970764},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25148558616638184},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2024.3352447","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3352447","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1003609772","https://openalex.org/W1480053667","https://openalex.org/W1580348315","https://openalex.org/W1614417283","https://openalex.org/W1967793246","https://openalex.org/W1968908471","https://openalex.org/W2068949505","https://openalex.org/W2075889787","https://openalex.org/W2104433675","https://openalex.org/W2106758919","https://openalex.org/W2116479681","https://openalex.org/W2120038868","https://openalex.org/W2155876893","https://openalex.org/W2168158714","https://openalex.org/W2249513906","https://openalex.org/W2484646121","https://openalex.org/W2551113280","https://openalex.org/W2592713011","https://openalex.org/W2593469813","https://openalex.org/W2708409974","https://openalex.org/W2755970611","https://openalex.org/W2888901227","https://openalex.org/W2920943913","https://openalex.org/W2921429479","https://openalex.org/W3035621227","https://openalex.org/W3087896133","https://openalex.org/W4230315093"],"related_works":["https://openalex.org/W2504004674","https://openalex.org/W2498744856","https://openalex.org/W763418848","https://openalex.org/W1595229445","https://openalex.org/W4390482104","https://openalex.org/W322408318","https://openalex.org/W149041114","https://openalex.org/W2963177394","https://openalex.org/W1965815883","https://openalex.org/W4313359513"],"abstract_inverted_index":{"This":[0,66],"paper":[1],"presents":[2],"an":[3,111],"analytical":[4],"approach":[5,124],"to":[6,47,69,96,159],"solve":[7],"the":[8,40,49,56,71,81,102,122,128,148,160],"infinite":[9],"horizon":[10],"<inline-formula":[11,84,129],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[12,85,130],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[13,86,131],"notation=\"LaTeX\">$H_{\\infty":[14,87,132],"}$</tex-math></inline-formula>":[15,88,133],"tracking":[16,50,134],"control":[17,135,150],"problem":[18,136],"in":[19,44,63],"nonlinear":[20],"systems":[21],"with":[22],"unknown":[23,41,105],"drift":[24,45,106],"dynamics.":[25],"A":[26],"new":[27],"quadratic":[28],"cost":[29,58],"function":[30,59],"is":[31,53,145],"presented":[32],"that":[33,55,147],"includes":[34],"a":[35,90,141,155],"feed-forward":[36],"term":[37],"and":[38,118,151],"compensates":[39],"nonlinearity":[42],"effects":[43],"dynamics":[46,107],"improve":[48],"performance.":[51],"It":[52],"shown":[54,146],"proposed":[57,123],"can":[60,137],"be":[61,97,138],"stated":[62,139],"another":[64],"form.":[65],"enables":[67],"us":[68],"extract":[70],"optimal":[72],"solution":[73,82,158],"without":[74],"solving":[75,101],"Hamilton-Jacobi-Isaacs":[76],"equation":[77,93],"(HJIE).":[78],"To":[79],"achieve":[80],"of":[83,100,121],",":[89],"Riccati":[91],"differential":[92],"(RDE)":[94],"needs":[95],"solved":[98],"instead":[99],"HJIE.":[103],"The":[104,116],"are":[108,125],"estimated":[109],"by":[110],"adaptive":[112],"neural":[113],"network":[114],"(ANN).":[115],"stability":[117],"disturbance":[119,152],"attenuation":[120],"studied.":[126],"Since":[127],"as":[140],"zero-sum":[142],"game,":[143],"it":[144],"obtained":[149],"inputs":[153],"provide":[154],"saddle":[156],"point":[157],"game.":[161]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
