{"id":"https://openalex.org/W4287846217","doi":"https://doi.org/10.1109/icca54724.2022.9831855","title":"Nonlinear Minimum Time Control via Transformed Objective Function and the Brachistochrone Curve","display_name":"Nonlinear Minimum Time Control via Transformed Objective Function and the Brachistochrone Curve","publication_year":2022,"publication_date":"2022-06-27","ids":{"openalex":"https://openalex.org/W4287846217","doi":"https://doi.org/10.1109/icca54724.2022.9831855"},"language":"en","primary_location":{"id":"doi:10.1109/icca54724.2022.9831855","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icca54724.2022.9831855","pdf_url":null,"source":{"id":"https://openalex.org/S4363608132","display_name":"2022 IEEE 17th International Conference on Control & Automation (ICCA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 17th International Conference on Control & Automation (ICCA)","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/A5103068237","display_name":"Yipeng Yang","orcid":"https://orcid.org/0000-0001-6217-1604"},"institutions":[{"id":"https://openalex.org/I52913039","display_name":"University of Houston - Clear Lake","ror":"https://ror.org/01t817z14","country_code":"US","type":"education","lineage":["https://openalex.org/I52913039"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yipeng Yang","raw_affiliation_strings":["University of Houston - Clear Lake,Department of Mathematics and Statistics,Houston,TX,77058"],"affiliations":[{"raw_affiliation_string":"University of Houston - Clear Lake,Department of Mathematics and Statistics,Houston,TX,77058","institution_ids":["https://openalex.org/I52913039"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103068237"],"corresponding_institution_ids":["https://openalex.org/I52913039"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07249747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"844","last_page":"849"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9933000206947327,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9933000206947327,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9828000068664551,"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/T11236","display_name":"Control Systems and Identification","score":0.9789999723434448,"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/gradient-descent","display_name":"Gradient descent","score":0.6151449680328369},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5811728835105896},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5242467522621155},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5202742218971252},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.4817073941230774},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48132097721099854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4744183421134949},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4720381498336792},{"id":"https://openalex.org/keywords/descent-direction","display_name":"Descent direction","score":0.4122200310230255},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3821974992752075},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3475721478462219},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3205348253250122},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.248005211353302},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.17848360538482666},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07391443848609924}],"concepts":[{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6151449680328369},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5811728835105896},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5242467522621155},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5202742218971252},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.4817073941230774},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48132097721099854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4744183421134949},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4720381498336792},{"id":"https://openalex.org/C116149140","wikidata":"https://www.wikidata.org/wiki/Q2070951","display_name":"Descent direction","level":4,"score":0.4122200310230255},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3821974992752075},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3475721478462219},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3205348253250122},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.248005211353302},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.17848360538482666},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07391443848609924},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icca54724.2022.9831855","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icca54724.2022.9831855","pdf_url":null,"source":{"id":"https://openalex.org/S4363608132","display_name":"2022 IEEE 17th International Conference on Control & Automation (ICCA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE 17th International Conference on Control & Automation (ICCA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1981699275","https://openalex.org/W2048333796","https://openalex.org/W2161294942","https://openalex.org/W2303961898","https://openalex.org/W2320270188","https://openalex.org/W2556803685","https://openalex.org/W2764023367","https://openalex.org/W2903630519","https://openalex.org/W3011908139","https://openalex.org/W3118397459","https://openalex.org/W4241357686"],"related_works":["https://openalex.org/W9059077","https://openalex.org/W2015288657","https://openalex.org/W39176023","https://openalex.org/W1985812215","https://openalex.org/W2111200844","https://openalex.org/W4389767465","https://openalex.org/W2950674002","https://openalex.org/W2054621035","https://openalex.org/W2381266720","https://openalex.org/W2046515352"],"abstract_inverted_index":{"In":[0,31],"this":[1,32,57,65],"paper":[2],"an":[3],"iterative":[4],"algorithm":[5,61],"is":[6,46,62,86],"proposed":[7],"to":[8,52,69],"solve":[9],"discrete":[10],"nonlinear":[11],"minimum":[12],"time":[13],"control":[14],"problem":[15,25],"via":[16],"a":[17,27,49],"transformed":[18],"objective":[19],"function,":[20],"which":[21],"changes":[22],"the":[23,54,71,79],"original":[24],"into":[26],"tractable":[28],"optimization":[29,36],"problem.":[30],"way,":[33],"well-established":[34],"numerical":[35],"algorithms":[37],"can":[38],"be":[39],"applied.":[40],"The":[41],"fastest":[42],"descent":[43],"curve":[44,81],"(Brachistochrone)":[45],"adopted":[47],"as":[48],"case":[50],"study":[51],"test":[53],"efficacy":[55],"of":[56],"method.":[58],"Gradient":[59],"search":[60],"used":[63],"in":[64],"framework":[66],"and":[67],"formulas":[68],"find":[70],"gradient":[72],"are":[73],"provided.":[74],"Explicit":[75],"method":[76],"that":[77],"determines":[78],"Brachistochrone":[80],"based":[82],"on":[83],"initial":[84],"conditions":[85],"also":[87],"presented.":[88]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}