{"id":"https://openalex.org/W2473255728","doi":"https://doi.org/10.1080/00207179.2016.1205755","title":"Analogue of the Kelley condition for optimal systems with retarded control","display_name":"Analogue of the Kelley condition for optimal systems with retarded control","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2473255728","doi":"https://doi.org/10.1080/00207179.2016.1205755","mag":"2473255728"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2016.1205755","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2016.1205755","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007469992","display_name":"M\u0131s\u0131r J. Mardanov","orcid":"https://orcid.org/0000-0003-3901-0719"},"institutions":[{"id":"https://openalex.org/I4210096574","display_name":"Institute of Mathematics and Mechanics","ror":"https://ror.org/00ab5b586","country_code":"AZ","type":"facility","lineage":["https://openalex.org/I126595936","https://openalex.org/I4210096574"]}],"countries":["AZ"],"is_corresponding":true,"raw_author_name":"Misir J. Mardanov","raw_affiliation_strings":["Institute of Mathematics and Mechanics of NASA, Baku, Azerbaijan"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Mechanics of NASA, Baku, Azerbaijan","institution_ids":["https://openalex.org/I4210096574"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047119340","display_name":"T. K. Melikov","orcid":null},"institutions":[{"id":"https://openalex.org/I4210096574","display_name":"Institute of Mathematics and Mechanics","ror":"https://ror.org/00ab5b586","country_code":"AZ","type":"facility","lineage":["https://openalex.org/I126595936","https://openalex.org/I4210096574"]}],"countries":["AZ"],"is_corresponding":false,"raw_author_name":"Telman K. Melikov","raw_affiliation_strings":["Institute of Mathematics and Mechanics of NASA, Baku, Azerbaijan; Institute of Control Systems of NASA, Baku, Azerbaijan","Institute of Mathematics and Mechanics of NASA, Baku, Azerbaijan","Institute of Control Systems of NASA, Baku, Azerbaijan"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Mechanics of NASA, Baku, Azerbaijan; Institute of Control Systems of NASA, Baku, Azerbaijan","institution_ids":["https://openalex.org/I4210096574"]},{"raw_affiliation_string":"Institute of Mathematics and Mechanics of NASA, Baku, Azerbaijan","institution_ids":["https://openalex.org/I4210096574"]},{"raw_affiliation_string":"Institute of Control Systems of NASA, Baku, Azerbaijan","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007469992"],"corresponding_institution_ids":["https://openalex.org/I4210096574"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.07431475,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"90","issue":"7","first_page":"1299","last_page":"1307"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9851999878883362,"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":0.9851999878883362,"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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9757000207901001,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9697999954223633,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.7424314022064209},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7312437891960144},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6826972961425781},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.643510639667511},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5636976957321167},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4981498718261719},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.469719797372818},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42882639169692993},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3556042015552521},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3050045073032379},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.274075984954834},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18369799852371216}],"concepts":[{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.7424314022064209},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7312437891960144},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6826972961425781},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.643510639667511},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5636976957321167},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4981498718261719},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.469719797372818},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42882639169692993},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3556042015552521},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3050045073032379},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.274075984954834},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18369799852371216},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2016.1205755","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2016.1205755","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1444347584","https://openalex.org/W1980916186","https://openalex.org/W1983248061","https://openalex.org/W2054591053","https://openalex.org/W2078964052","https://openalex.org/W2090451298","https://openalex.org/W3019832373","https://openalex.org/W3141151088","https://openalex.org/W4233220581","https://openalex.org/W4247382041","https://openalex.org/W4285719527","https://openalex.org/W4383877227"],"related_works":["https://openalex.org/W2736737644","https://openalex.org/W2385225694","https://openalex.org/W1607269076","https://openalex.org/W2374325362","https://openalex.org/W2024044475","https://openalex.org/W2214763494","https://openalex.org/W1913294887","https://openalex.org/W2354480093","https://openalex.org/W2354670860","https://openalex.org/W2045566088"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,38],"consider":[4],"an":[5],"optimal":[6],"control":[7,11],"problem":[8],"with":[9],"retarded":[10],"and":[12,26],"study":[13],"a":[14],"larger":[15],"class":[16],"of":[17,45],"singular":[18],"(in":[19],"the":[20,40],"classical":[21],"sense)":[22],"controls.":[23],"The":[24],"Kelley":[25],"equality":[27],"type":[28],"optimality":[29],"conditions":[30],"are":[31],"obtained.":[32],"To":[33],"prove":[34],"our":[35],"main":[36],"results,":[37],"use":[39],"Legendre":[41],"polynomials":[42],"as":[43],"variations":[44],"control.":[46]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}