{"id":"https://openalex.org/W2066009770","doi":"https://doi.org/10.1016/0005-1098(69)90077-6","title":"The use of a method of perturbations in the synthesis of closed-loop optimal control laws for non-linear systems","display_name":"The use of a method of perturbations in the synthesis of closed-loop optimal control laws for non-linear systems","publication_year":1969,"publication_date":"1969-05-01","ids":{"openalex":"https://openalex.org/W2066009770","doi":"https://doi.org/10.1016/0005-1098(69)90077-6","mag":"2066009770"},"language":"en","primary_location":{"id":"doi:10.1016/0005-1098(69)90077-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0005-1098(69)90077-6","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","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/A5111792259","display_name":"J.F. Baldwin","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"J.F. Baldwin","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5044997872","display_name":"J. H. Sims Williams","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J.H.Sims Williams","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111792259"],"corresponding_institution_ids":[],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":43.4955,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.99414074,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"5","issue":"3","first_page":"357","last_page":"367"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9991000294685364,"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":0.9837999939918518,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9811999797821045,"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/hamilton\u2013jacobi-equation","display_name":"Hamilton\u2013Jacobi equation","score":0.5812315940856934},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5560706853866577},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.48827028274536133},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4709490239620209},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4697171747684479},{"id":"https://openalex.org/keywords/first-order","display_name":"First order","score":0.4503147602081299},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.40131086111068726},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3489581346511841},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2347373068332672},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0746709406375885}],"concepts":[{"id":"https://openalex.org/C2778860007","wikidata":"https://www.wikidata.org/wiki/Q1060137","display_name":"Hamilton\u2013Jacobi equation","level":2,"score":0.5812315940856934},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5560706853866577},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.48827028274536133},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4709490239620209},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4697171747684479},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.4503147602081299},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.40131086111068726},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3489581346511841},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2347373068332672},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0746709406375885},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0005-1098(69)90077-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0005-1098(69)90077-6","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W275876750","https://openalex.org/W1528840936","https://openalex.org/W1990764823","https://openalex.org/W2014398910","https://openalex.org/W2051952228","https://openalex.org/W2063181764","https://openalex.org/W2078071894","https://openalex.org/W2079914542","https://openalex.org/W2092603443","https://openalex.org/W2094133613","https://openalex.org/W2129801262","https://openalex.org/W2158370675","https://openalex.org/W2341171179","https://openalex.org/W4252450337"],"related_works":["https://openalex.org/W4200506717","https://openalex.org/W2029860844","https://openalex.org/W2720912673","https://openalex.org/W2364831476","https://openalex.org/W2069283604","https://openalex.org/W1971081015","https://openalex.org/W3103469019","https://openalex.org/W3104798125","https://openalex.org/W2023494801","https://openalex.org/W4305028175"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
