{"id":"https://openalex.org/W3003151139","doi":"https://doi.org/10.1080/00207179.2020.1717633","title":"Consistent numerical methods for state and control constrained trajectory optimisation with parameter dependency","display_name":"Consistent numerical methods for state and control constrained trajectory optimisation with parameter dependency","publication_year":2020,"publication_date":"2020-01-20","ids":{"openalex":"https://openalex.org/W3003151139","doi":"https://doi.org/10.1080/00207179.2020.1717633","mag":"3003151139"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2020.1717633","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2020.1717633","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/uc/item/4vh2x76m","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074143041","display_name":"Claire Walton","orcid":null},"institutions":[{"id":"https://openalex.org/I35364215","display_name":"Naval Postgraduate School","ror":"https://ror.org/033yfkj90","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I3130687028","https://openalex.org/I35364215"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Claire Walton","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, Naval Postgraduate School, Monterey, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-7442-1885","affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, Naval Postgraduate School, Monterey, CA, USA","institution_ids":["https://openalex.org/I35364215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088457398","display_name":"Isaac Kaminer","orcid":"https://orcid.org/0000-0002-5883-4708"},"institutions":[{"id":"https://openalex.org/I35364215","display_name":"Naval Postgraduate School","ror":"https://ror.org/033yfkj90","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I3130687028","https://openalex.org/I35364215"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Isaac Kaminer","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, Naval Postgraduate School, Monterey, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, Naval Postgraduate School, Monterey, CA, USA","institution_ids":["https://openalex.org/I35364215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069454917","display_name":"Qi Gong","orcid":"https://orcid.org/0000-0003-0398-5792"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qi Gong","raw_affiliation_strings":["Department of Applied Mathematics, University of California, Santa Cruz, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of California, Santa Cruz, CA, USA","institution_ids":["https://openalex.org/I185103710"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074143041"],"corresponding_institution_ids":["https://openalex.org/I35364215"],"apc_list":null,"apc_paid":null,"fwci":0.2944,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.54478082,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"94","issue":"9","first_page":"2564","last_page":"2574"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9998999834060669,"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/T12158","display_name":"Guidance and Control Systems","score":0.9976000189781189,"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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9961000084877014,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7490822076797485},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6567887663841248},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6421226263046265},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.596840500831604},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5831743478775024},{"id":"https://openalex.org/keywords/dependency","display_name":"Dependency (UML)","score":0.5736968517303467},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5508732795715332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5185228586196899},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5125603675842285},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.45931437611579895},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44323065876960754},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4431923031806946},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.438780277967453},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33440327644348145},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18694782257080078}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7490822076797485},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6567887663841248},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6421226263046265},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.596840500831604},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5831743478775024},{"id":"https://openalex.org/C19768560","wikidata":"https://www.wikidata.org/wiki/Q320727","display_name":"Dependency (UML)","level":2,"score":0.5736968517303467},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5508732795715332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5185228586196899},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5125603675842285},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.45931437611579895},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44323065876960754},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4431923031806946},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.438780277967453},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33440327644348145},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18694782257080078},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/00207179.2020.1717633","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2020.1717633","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt4vh2x76m","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/4vh2x76m","pdf_url":"https://escholarship.org/uc/item/4vh2x76m","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Control, vol 94, iss 9","raw_type":"article"},{"id":"pmh:oai:calhoun.nps.edu:10945/65667","is_oa":false,"landing_page_url":"https://hdl.handle.net/10945/65667","pdf_url":null,"source":{"id":"https://openalex.org/S4306400952","display_name":"Calhoun: The Naval Postgraduate School Institutional Archive (Naval Postgraduate School)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35364215","host_organization_name":"Naval Postgraduate School","host_organization_lineage":["https://openalex.org/I35364215"],"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":"Article"}],"best_oa_location":{"id":"pmh:oai:escholarship.org:ark:/13030/qt4vh2x76m","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/4vh2x76m","pdf_url":"https://escholarship.org/uc/item/4vh2x76m","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Control, vol 94, iss 9","raw_type":"article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1420073789","display_name":null,"funder_award_id":"N001418WX01204","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G3778358987","display_name":null,"funder_award_id":"N001417WX01098","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G8217339446","display_name":null,"funder_award_id":"N001415WX01451","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3003151139.pdf","grobid_xml":"https://content.openalex.org/works/W3003151139.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W104804874","https://openalex.org/W1485493107","https://openalex.org/W1544032329","https://openalex.org/W1646309082","https://openalex.org/W1767537650","https://openalex.org/W1989521361","https://openalex.org/W2013659868","https://openalex.org/W2019293191","https://openalex.org/W2019738489","https://openalex.org/W2023162898","https://openalex.org/W2024511033","https://openalex.org/W2030963393","https://openalex.org/W2033022456","https://openalex.org/W2033348207","https://openalex.org/W2073732659","https://openalex.org/W2079716434","https://openalex.org/W2095511177","https://openalex.org/W2111297101","https://openalex.org/W2114265982","https://openalex.org/W2124047268","https://openalex.org/W2147228529","https://openalex.org/W2157386447","https://openalex.org/W2169982942","https://openalex.org/W2262423468","https://openalex.org/W2327127436","https://openalex.org/W2567289819","https://openalex.org/W2596553520","https://openalex.org/W6678182155"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2799209613","https://openalex.org/W1971388572","https://openalex.org/W4388482258"],"abstract_inverted_index":{"This":[0,25],"paper":[1,58],"describes":[2],"and":[3,17,78,99],"proves":[4],"the":[5,29,92],"consistency":[6,93],"of":[7,31,34,46,75,87,94,110],"a":[8,32,61,84,107],"flexible":[9],"numerical":[10,44,108],"method":[11,26],"for":[12,28,64,97],"producing":[13],"solutions":[14],"to":[15,42,82],"state":[16,98],"control":[18,20,66,100],"constrained":[19,101],"problems":[21,67,102],"with":[22,68,115],"parameter":[23,55,69],"dependencies.":[24],"allows":[27],"use":[30],"variety":[33],"underlying":[35],"discretisation":[36],"schemes,":[37],"which":[38,71],"can":[39],"be":[40],"catered":[41],"differing":[43],"challenges":[45],"specific":[47],"problems,":[48],"such":[49],"as":[50],"rapid":[51],"convergence":[52],"or":[53],"large":[54],"spaces.":[56],"The":[57],"first":[59],"provides":[60],"broad":[62],"formulation":[63],"optimal":[65,112],"dependencies":[70],"includes":[72],"multiple":[73],"types":[74],"state,":[76],"control,":[77],"end":[79],"time":[80],"constraints":[81,116],"enable":[83],"wide":[85],"scope":[86],"application.":[88],"For":[89],"this":[90],"formulation,":[91],"these":[95],"methods":[96],"is":[103,117],"then":[104],"proved.":[105],"Finally,":[106],"example":[109],"an":[111],"search":[113],"problem":[114],"demonstrated.":[118]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}