{"id":"https://openalex.org/W4391038794","doi":"https://doi.org/10.1109/cdc49753.2023.10383777","title":"Closed-Loop Neighboring Extremal Optimal Control Using HJ Equation","display_name":"Closed-Loop Neighboring Extremal Optimal Control Using HJ Equation","publication_year":2023,"publication_date":"2023-12-13","ids":{"openalex":"https://openalex.org/W4391038794","doi":"https://doi.org/10.1109/cdc49753.2023.10383777"},"language":"en","primary_location":{"id":"doi:10.1109/cdc49753.2023.10383777","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10383777","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd 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/A5031539152","display_name":"Ayush Rai","orcid":"https://orcid.org/0000-0002-6945-6300"},"institutions":[{"id":"https://openalex.org/I46020346","display_name":"American Institute of Aeronautics and Astronautics","ror":"https://ror.org/00a1rzv11","country_code":"US","type":"other","lineage":["https://openalex.org/I46020346"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ayush Rai","raw_affiliation_strings":["School of Aeronautics and Astronautics, Purdue University"],"affiliations":[{"raw_affiliation_string":"School of Aeronautics and Astronautics, Purdue University","institution_ids":["https://openalex.org/I46020346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070733769","display_name":"Shaoshuai Mou","orcid":"https://orcid.org/0000-0002-3698-4238"},"institutions":[{"id":"https://openalex.org/I46020346","display_name":"American Institute of Aeronautics and Astronautics","ror":"https://ror.org/00a1rzv11","country_code":"US","type":"other","lineage":["https://openalex.org/I46020346"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shaoshuai Mou","raw_affiliation_strings":["School of Aeronautics and Astronautics, Purdue University"],"affiliations":[{"raw_affiliation_string":"School of Aeronautics and Astronautics, Purdue University","institution_ids":["https://openalex.org/I46020346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015736743","display_name":"Brian D. O. Anderson","orcid":"https://orcid.org/0000-0002-1493-4774"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Brian D. O. Anderson","raw_affiliation_strings":["School of Engineering, The Australian National University,Canberra","School of Engineering, The Australian National University, Canberra"],"affiliations":[{"raw_affiliation_string":"School of Engineering, The Australian National University,Canberra","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"School of Engineering, The Australian National University, Canberra","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031539152"],"corresponding_institution_ids":["https://openalex.org/I46020346"],"apc_list":null,"apc_paid":null,"fwci":0.403,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.68241828,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"3270","last_page":"3275"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9997000098228455,"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":0.9997000098228455,"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/T12277","display_name":"Frequency Control in Power Systems","score":0.9799000024795532,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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":0.9409000277519226,"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/optimal-control","display_name":"Optimal control","score":0.649674117565155},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6251927614212036},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6184503436088562},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5272718071937561},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5140403509140015},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5099142789840698},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4166260361671448},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26667627692222595}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.649674117565155},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6251927614212036},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6184503436088562},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5272718071937561},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5140403509140015},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5099142789840698},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4166260361671448},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26667627692222595},{"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":2,"locations":[{"id":"doi:10.1109/cdc49753.2023.10383777","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc49753.2023.10383777","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/733757923","is_oa":false,"landing_page_url":"https://hdl.handle.net/1885/733757923","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference paper"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1522531528","https://openalex.org/W1983523797","https://openalex.org/W1988746925","https://openalex.org/W2005229381","https://openalex.org/W2020932328","https://openalex.org/W2024303516","https://openalex.org/W2037025184","https://openalex.org/W2047090868","https://openalex.org/W2108286682","https://openalex.org/W2141784777","https://openalex.org/W2147071316","https://openalex.org/W2798500587","https://openalex.org/W3178729124","https://openalex.org/W4214717370","https://openalex.org/W6631512933"],"related_works":["https://openalex.org/W2124287120","https://openalex.org/W1951249712","https://openalex.org/W2314373002","https://openalex.org/W2351235964","https://openalex.org/W2334267221","https://openalex.org/W4238937692","https://openalex.org/W2037688108","https://openalex.org/W2003377329","https://openalex.org/W4235910846","https://openalex.org/W2118964038"],"abstract_inverted_index":{"This":[0,108],"study":[1],"introduces":[2],"a":[3,7,15,30,59,74,90,119,143],"method":[4],"to":[5,29,65,102,130,137,165],"obtain":[6],"neighboring":[8],"extremal":[9],"optimal":[10,33,139],"control":[11,34,140],"(NEOC)":[12],"solution":[13,52,71],"for":[14,73,82],"broad":[16],"class":[17],"of":[18,113,121,134,146,160,170],"nonlinear":[19,75],"systems":[20],"with":[21,163],"nonquadratic":[22],"performance":[23,48,116,153],"indices":[24],"by":[25,37,57,79,156,177],"investigating":[26],"the":[27,42,47,95,104,111,114,123,132,135,149,152,158,161,171],"variation":[28],"known":[31,39],"closed-loop":[32],"law":[35,141,162],"caused":[36],"small,":[38],"variations":[40],"in":[41,46,68,148],"system":[43,124,150],"parameters":[44,127,147],"or":[45,151],"index.":[49],"The":[50,168],"NEOC":[51],"can":[53],"formally":[54],"be":[55],"obtained":[56],"solving":[58,83],"linear":[60],"partial":[61],"differential":[62],"equation":[63],"similar":[64],"those":[66,166],"arising":[67],"an":[69,85,138],"iterative":[70],"procedure":[72],"Hamilton-Jacobi":[76,106],"equation.":[77,107],"Motivated":[78],"numerical":[80,91,178],"procedures":[81],"such":[84],"equation,":[86],"we":[87],"also":[88],"propose":[89],"algorithm":[92,97],"based":[93],"on":[94],"Galerkin":[96],"that":[98],"uses":[99],"basis":[100],"functions":[101],"solve":[103],"underlying":[105],"approach":[109],"allows":[110],"determination":[112,133],"minimum":[115],"index":[117],"as":[118],"function":[120],"both":[122],"state":[125],"and":[126,128,173],"extends":[129],"allow":[131],"adjustment":[136,145],"given":[142],"small":[144],"index,":[154],"effectively":[155],"computing":[157],"derivative":[159],"respect":[164],"parameters.":[167],"validity":[169],"claims":[172],"theory":[174],"is":[175],"supported":[176],"simulations.":[179]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-16T09:10:04.655348","created_date":"2025-10-10T00:00:00"}