{"id":"https://openalex.org/W2049720388","doi":"https://doi.org/10.2316/journal.201.2012.4.201-2375","title":"SINGULAR WEAK OPTIMAL CONTROLS","display_name":"SINGULAR WEAK OPTIMAL CONTROLS","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2049720388","doi":"https://doi.org/10.2316/journal.201.2012.4.201-2375","mag":"2049720388"},"language":"en","primary_location":{"id":"doi:10.2316/journal.201.2012.4.201-2375","is_oa":false,"landing_page_url":"https://doi.org/10.2316/journal.201.2012.4.201-2375","pdf_url":null,"source":{"id":"https://openalex.org/S111371982","display_name":"Control and Intelligent Systems","issn_l":"1480-1752","issn":["1480-1752","1925-5810"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Control and Intelligent 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/A5076924146","display_name":"Javier F. Rosenblueth","orcid":"https://orcid.org/0000-0002-8685-4538"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Javier F. Rosenblueth","raw_affiliation_strings":["National Autonomous, University of Mexico"],"affiliations":[{"raw_affiliation_string":"National Autonomous, University of Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030799496","display_name":"Gerardo S\u00e1nchez Licea","orcid":null},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Gerardo S\u00e1nchez Licea","raw_affiliation_strings":["National Autonomous, University of Mexico"],"affiliations":[{"raw_affiliation_string":"National Autonomous, University of Mexico","institution_ids":["https://openalex.org/I8961855"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076924146"],"corresponding_institution_ids":["https://openalex.org/I8961855"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11809971,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9961000084877014,"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/maxima-and-minima","display_name":"Maxima and minima","score":0.7488519549369812},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6874785423278809},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5650475025177002},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5323446393013},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47391995787620544},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43938273191452026},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.39959585666656494},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.32226619124412537},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31661105155944824},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22027510404586792},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08271962404251099}],"concepts":[{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.7488519549369812},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6874785423278809},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5650475025177002},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5323446393013},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47391995787620544},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43938273191452026},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.39959585666656494},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32226619124412537},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31661105155944824},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22027510404586792},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08271962404251099}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2316/journal.201.2012.4.201-2375","is_oa":false,"landing_page_url":"https://doi.org/10.2316/journal.201.2012.4.201-2375","pdf_url":null,"source":{"id":"https://openalex.org/S111371982","display_name":"Control and Intelligent Systems","issn_l":"1480-1752","issn":["1480-1752","1925-5810"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Control and Intelligent Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47999998927116394,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1545761024","https://openalex.org/W1974084921","https://openalex.org/W2002661810","https://openalex.org/W2029677694","https://openalex.org/W2039796103","https://openalex.org/W2068287436","https://openalex.org/W2068349442","https://openalex.org/W2084426377","https://openalex.org/W2090323595","https://openalex.org/W2225782853","https://openalex.org/W2313912395","https://openalex.org/W2321543672","https://openalex.org/W2790417441","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2375684291","https://openalex.org/W2354676191","https://openalex.org/W3188646203","https://openalex.org/W136674370","https://openalex.org/W4246278799","https://openalex.org/W2909957174","https://openalex.org/W2105527480","https://openalex.org/W2052387497","https://openalex.org/W2035564297","https://openalex.org/W4380087116"],"abstract_inverted_index":{"This":[0],"paper":[1],"illustrates,":[2],"by":[3],"means":[4],"of":[5,17],"two":[6],"examples,":[7],"how":[8],"a":[9],"recently":[10],"developed":[11],"sufficiency":[12],"theorem":[13],"for":[14],"weak":[15],"minima":[16],"optimal":[18],"control":[19,26],"problems":[20],"involving":[21],"equality":[22],"constraints":[23],"in":[24],"the":[25],"functions":[27],"can":[28],"be":[29],"applied.":[30]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}