{"id":"https://openalex.org/W4401326049","doi":"https://doi.org/10.1109/taes.2024.3438687","title":"A Physics-Informed Indirect Method for Trajectory Optimization","display_name":"A Physics-Informed Indirect Method for Trajectory Optimization","publication_year":2024,"publication_date":"2024-08-05","ids":{"openalex":"https://openalex.org/W4401326049","doi":"https://doi.org/10.1109/taes.2024.3438687"},"language":"en","primary_location":{"id":"doi:10.1109/taes.2024.3438687","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taes.2024.3438687","pdf_url":null,"source":{"id":"https://openalex.org/S193624734","display_name":"IEEE Transactions on Aerospace and Electronic Systems","issn_l":"0018-9251","issn":["0018-9251","1557-9603","2371-9877"],"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 Aerospace and Electronic Systems","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/A5100635670","display_name":"Kun Wang","orcid":"https://orcid.org/0000-0002-0269-7425"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kun Wang","raw_affiliation_strings":["School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, China","School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, Zhejiang, China"],"raw_orcid":"https://orcid.org/0000-0002-0269-7425","affiliations":[{"raw_affiliation_string":"School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, Zhejiang, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016519362","display_name":"Fangmin Lu","orcid":"https://orcid.org/0009-0002-3379-4524"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fangmin Lu","raw_affiliation_strings":["School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, China","School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, Zhejiang, China"],"raw_orcid":"https://orcid.org/0009-0002-3379-4524","affiliations":[{"raw_affiliation_string":"School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, Zhejiang, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Zheng Chen","orcid":"https://orcid.org/0000-0002-3573-1546"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zheng Chen","raw_affiliation_strings":["School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, China","School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, Zhejiang, China"],"raw_orcid":"https://orcid.org/0000-0002-3573-1546","affiliations":[{"raw_affiliation_string":"School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, Zhejiang, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":null,"display_name":"Jun Li","orcid":"https://orcid.org/0009-0009-1957-9861"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Li","raw_affiliation_strings":["School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, China","School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, Zhejiang, China"],"raw_orcid":"https://orcid.org/0009-0009-1957-9861","affiliations":[{"raw_affiliation_string":"School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, Zhejiang, China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":null,"apc_paid":null,"fwci":1.4774,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.80959066,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"60","issue":"6","first_page":"9179","last_page":"9192"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10805","display_name":"Vehicle Dynamics and Control Systems","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10805","display_name":"Vehicle Dynamics and Control Systems","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9843000173568726,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11099","display_name":"Autonomous Vehicle Technology and Safety","score":0.9782999753952026,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/trajectory","display_name":"Trajectory","score":0.667149543762207},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6220578551292419},{"id":"https://openalex.org/keywords/trajectory-optimization","display_name":"Trajectory optimization","score":0.5508013367652893},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39817196130752563},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3219388723373413},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.19821739196777344}],"concepts":[{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.667149543762207},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6220578551292419},{"id":"https://openalex.org/C173246807","wikidata":"https://www.wikidata.org/wiki/Q7833062","display_name":"Trajectory optimization","level":3,"score":0.5508013367652893},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39817196130752563},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3219388723373413},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.19821739196777344}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/taes.2024.3438687","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taes.2024.3438687","pdf_url":null,"source":{"id":"https://openalex.org/S193624734","display_name":"IEEE Transactions on Aerospace and Electronic Systems","issn_l":"0018-9251","issn":["0018-9251","1557-9603","2371-9877"],"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 Aerospace and Electronic Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2575069074","display_name":null,"funder_award_id":"62088101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1587799944","https://openalex.org/W1973334977","https://openalex.org/W1974523087","https://openalex.org/W1983138069","https://openalex.org/W2000465670","https://openalex.org/W2008338154","https://openalex.org/W2015467287","https://openalex.org/W2025228870","https://openalex.org/W2035670438","https://openalex.org/W2076916169","https://openalex.org/W2095413841","https://openalex.org/W2097280161","https://openalex.org/W2144046269","https://openalex.org/W2147545439","https://openalex.org/W2148150102","https://openalex.org/W2157781135","https://openalex.org/W2162218551","https://openalex.org/W2473800515","https://openalex.org/W2540018329","https://openalex.org/W2583935484","https://openalex.org/W2588141821","https://openalex.org/W2601563668","https://openalex.org/W2740665473","https://openalex.org/W2790792733","https://openalex.org/W2794328213","https://openalex.org/W2902732296","https://openalex.org/W3018703735","https://openalex.org/W3110257943","https://openalex.org/W3116092925","https://openalex.org/W3123788554","https://openalex.org/W3206966484","https://openalex.org/W3210564452","https://openalex.org/W4220890984","https://openalex.org/W4224952065","https://openalex.org/W4285279322","https://openalex.org/W4294967933","https://openalex.org/W4313517223","https://openalex.org/W4320169486","https://openalex.org/W4368362460","https://openalex.org/W4380883532","https://openalex.org/W4390511929","https://openalex.org/W4391020532","https://openalex.org/W4391302426","https://openalex.org/W4392207851","https://openalex.org/W4400017514"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4385832323","https://openalex.org/W4244391535","https://openalex.org/W2356996864","https://openalex.org/W2904060783","https://openalex.org/W2015393961","https://openalex.org/W2378339670","https://openalex.org/W2359353485","https://openalex.org/W2139910871","https://openalex.org/W2361427670"],"abstract_inverted_index":{"The":[0],"indirect":[1,53,195],"method":[2,54,83],"has":[3],"long":[4],"been":[5],"favored":[6],"for":[7,56,84,148,189],"solving":[8],"trajectory":[9],"optimization":[10],"problems":[11],"due":[12,37],"to":[13,16,38,141,152,212,225],"its":[14,39],"ability":[15],"reveal":[17],"the":[18,21,32,74,85,94,98,111,115,120,126,130,134,145,149,161,173,181,190,199,202,214,229],"structure":[19],"of":[20,31,41,129,171,175,201,231],"corresponding":[22],"optimal":[23,131],"control.":[24],"However,":[25],"providing":[26],"an":[27,80],"appropriate":[28],"initial":[29,121],"guess":[30],"costate":[33,95,113,122,150],"vector":[34,96,123,151],"remains":[35],"challenging":[36],"lack":[40],"physical":[42,127],"significance.":[43],"To":[44],"address":[45],"this":[46,48,232],"issue,":[47],"article":[49],"introduces":[50],"a":[51,64,105,153,166,205],"physics-informed":[52,70,163],"(PIIM),":[55],"which":[57],"all":[58],"shooting":[59,167],"variables":[60],"are":[61,223],"constrained":[62,103],"into":[63,165],"narrow":[65,143],"space":[66,147],"by":[67,109,159],"utilizing":[68],"their":[69],"information.":[71],"Starting":[72],"from":[73],"time-optimal":[75],"soft":[76,216],"landing":[77,217],"problem":[78,218],"(TOSLP),":[79],"analytical":[81],"estimation":[82],"minimum":[86],"flight":[87],"time":[88,100,136],"is":[89,137,208],"provided;":[90],"we":[91],"show":[92],"that":[93,169],"at":[97,133],"final":[99,135],"can":[101],"be":[102],"on":[104],"unit":[106,154],"3-D":[107,155],"hypersphere":[108],"eliminating":[110],"mass":[112],"and":[114,125,178,185,227],"numerical":[116,221],"factor":[117],"used":[118],"in":[119],"normalization;":[124],"significance":[128],"control":[132],"exploited,":[138],"allowing":[139,210],"one":[140,211],"further":[142],"down":[144],"solution":[146],"octant":[156],"sphere.":[157],"Then,":[158],"incorporating":[160],"above":[162],"information":[164],"function":[168],"involves":[170],"propagating":[172],"dynamics":[174],"both":[176],"states":[177],"costates":[179],"backward,":[180],"PIIM":[182,203],"achieves":[183],"faster":[184],"more":[186],"robust":[187],"convergence":[188],"TOSLP":[191],"compared":[192],"with":[193,204],"existing":[194],"methods.":[196],"In":[197],"addition,":[198],"combination":[200],"homotopy":[206],"approach":[207],"proposed,":[209],"solve":[213],"fuel-optimal":[215],"robustly.":[219],"Finally,":[220],"simulations":[222],"presented":[224],"demonstrate":[226],"validate":[228],"developments":[230],"article.":[233]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":3}],"updated_date":"2025-12-26T23:08:49.675405","created_date":"2025-10-10T00:00:00"}