{"id":"https://openalex.org/W81173504","doi":"https://doi.org/10.1007/978-3-0348-7539-4_9","title":"Trajectory Optimization Using Sparse Sequential Quadratic Programming","display_name":"Trajectory Optimization Using Sparse Sequential Quadratic Programming","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W81173504","doi":"https://doi.org/10.1007/978-3-0348-7539-4_9","mag":"81173504"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-0348-7539-4_9","doi":"https://doi.org/10.1007/978-3-0348-7539-4_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-0348-7539-4_9","pdf_url":null,"source":{"id":"https://openalex.org/S4306462920","display_name":"Birkh\u00e4user Basel eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimal Control","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4244075374","display_name":"Optimal Control"},"type":"book-chapter","is_traditional":true,"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/A5110353823","display_name":"John T. Betts","orcid":"https://orcid.org/0000-0002-2715-104X","observed_orcids":["https://orcid.org/0000-0002-2715-104X"]},"institutions":[{"id":"https://openalex.org/I1295339012","display_name":"Boeing (United States)","ror":"https://ror.org/04sm5zn07","country_code":"US","type":"company","lineage":["https://openalex.org/I1295339012"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John T. Betts","raw_affiliation_strings":["Senior Principal Scientist,\n        Boeing Computer Services, P.O.Box 24346, MS 7L-21, Seattle, WA, 98124-0346, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Senior Principal Scientist,\n        Boeing Computer Services, P.O.Box 24346, MS 7L-21, Seattle, WA, 98124-0346, USA","institution_ids":["https://openalex.org/I1295339012"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110353823"],"corresponding_institution_ids":["https://openalex.org/I1295339012"],"apc_list":null,"apc_paid":null,"fwci":2.9667,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.91353383,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"115","last_page":"128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.7172999978065491,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.7172999978065491,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.25780001282691956,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.007499999832361937,"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/trajectory-optimization","display_name":"trajectory optimization","score":0.9980000257492065},{"id":"https://openalex.org/keywords/direct-transcription","display_name":"direct transcription","score":0.9729999899864197},{"id":"https://openalex.org/keywords/optimal-control","display_name":"optimal control","score":0.8379999995231628},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"nonlinear programming","score":0.7839999794960022},{"id":"https://openalex.org/keywords/sparse-matrices","display_name":"sparse matrices","score":0.8569999933242798},{"id":"https://openalex.org/keywords/path-constraints","display_name":"path constraints","score":0.8700000047683716},{"id":"https://openalex.org/keywords/state-and-input-constraints","display_name":"state and input constraints","score":0.7599999904632568}],"concepts":[{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.7294970154762268},{"id":"https://openalex.org/C173246807","wikidata":"https://www.wikidata.org/wiki/Q7833062","display_name":"Trajectory optimization","level":3,"score":0.6895949244499207},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.6615093350410461},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.6238399744033813},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6182779669761658},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5665748119354248},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5611703991889954},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.48334118723869324},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.47540292143821716},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4606257975101471},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44809913635253906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4405275583267212},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-0348-7539-4_9","doi":"https://doi.org/10.1007/978-3-0348-7539-4_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-0348-7539-4_9","pdf_url":null,"source":{"id":"https://openalex.org/S4306462920","display_name":"Birkh\u00e4user Basel eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimal Control","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1484908674","https://openalex.org/W1538293189","https://openalex.org/W1568666422","https://openalex.org/W1635321324","https://openalex.org/W1982465659","https://openalex.org/W1998276913","https://openalex.org/W2003669963","https://openalex.org/W2043084830","https://openalex.org/W2053049052","https://openalex.org/W2080132051","https://openalex.org/W2083940610","https://openalex.org/W2091836778","https://openalex.org/W2169035848","https://openalex.org/W2333792840","https://openalex.org/W3178555742","https://openalex.org/W4236316114"],"related_works":["https://openalex.org/W2333792840","https://openalex.org/W1980384412","https://openalex.org/W2091836778","https://openalex.org/W1810244956","https://openalex.org/W205745144","https://openalex.org/W1290750","https://openalex.org/W2058532528","https://openalex.org/W3152231735","https://openalex.org/W1635321324","https://openalex.org/W278523381"],"abstract_inverted_index":{"One":[0],"of":[1,10,32,54],"the":[2,8,18,33,52,55,67,79,84,113,120,126],"most":[3],"effective":[4],"numerical":[5],"techniques":[6],"for":[7,91],"solution":[9],"trajectory":[11,34,56],"optimization":[12],"and":[13,48,96,100,110,119],"optimal":[14],"control":[15,97],"problems":[16],"is":[17,41,89,117],"direct":[19],"transcription":[20,85],"method.":[21],"This":[22,70,115],"approach":[23],"combines":[24],"a":[25,30,73],"nonlinear":[26,68,74],"programming":[27,39,75],"algorithm":[28,76,128],"with":[29,93],"discretization":[31],"dynamics.":[35],"The":[36],"resulting":[37],"mathematical":[38],"problem":[40],"characterized":[42],"by":[43,66,83,108,112],"matrices":[44],"which":[45,77],"are":[46,57],"large":[47],"sparse.":[49],"Constraints":[50],"on":[51],"path":[53,102],"then":[58],"treated":[59],"as":[60,125],"algebraic":[61],"inequalities":[62],"to":[63],"be":[64,123],"satisfied":[65],"program.":[69],"paper":[71],"describes":[72],"exploits":[78],"matrix":[80],"sparsity":[81],"produced":[82],"formulation.":[86],"Numerical":[87],"experience":[88],"reported":[90],"trajectories":[92],"both":[94],"state":[95],"variable":[98],"equality":[99],"inequality":[101],"constraints.":[103],"These":[104],"keywords":[105,121],"were":[106],"added":[107],"machine":[109],"not":[111],"authors.":[114],"process":[116],"experimental":[118],"may":[122],"updated":[124],"learning":[127],"improves.":[129]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}