{"id":"https://openalex.org/W4254682001","doi":"https://doi.org/10.17223/19988605/30/1","title":"Necessary optimality conditions in problem of optimal control by discrete-continuous system","display_name":"Necessary optimality conditions in problem of optimal control by discrete-continuous system","publication_year":2015,"publication_date":"2015-03-01","ids":{"openalex":"https://openalex.org/W4254682001","doi":"https://doi.org/10.17223/19988605/30/1"},"language":"en","primary_location":{"id":"doi:10.17223/19988605/30/1","doi":"https://doi.org/10.17223/19988605/30/1","is_oa":true,"landing_page_url":"http://doi.org/10.17223/19988605/30/1","pdf_url":"http://journals.tsu.ru/uploads/import/1176/files/1(30)_004.pdf","source":{"id":"https://openalex.org/S4210175835","display_name":"Vestnik Tomskogo gosudarstvennogo universiteta Upravlenie vychislitel naya tekhnika i informatika","issn_l":"1998-8605","issn":["1998-8605","2311-2085"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310312658","host_organization_name":"Omsk State University","host_organization_lineage":["https://openalex.org/P4310312658"],"host_organization_lineage_names":["Omsk State University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitel'naya tekhnika i informatika","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"http://journals.tsu.ru/uploads/import/1176/files/1(30)_004.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073169239","display_name":"Rashad O. Mastaliyev","orcid":"https://orcid.org/0000-0001-6387-2146","observed_orcids":["https://orcid.org/0000-0001-6387-2146"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rashad Ogtay oglu Mastaliyev","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5073169239"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.30696166,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":"1(30)","first_page":"4","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.7860999703407288,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.7860999703407288,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.12770000100135803,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.031300000846385956,"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/necessary-optimality-conditions","display_name":"necessary optimality conditions","score":0.8970000147819519},{"id":"https://openalex.org/keywords/optimal-control","display_name":"optimal control","score":0.9279999732971191},{"id":"https://openalex.org/keywords/continuous-discrete-systems","display_name":"continuous-discrete systems","score":0.871999979019165},{"id":"https://openalex.org/keywords/volterra-integro-differential-equations","display_name":"Volterra integro-differential equations","score":0.7950000166893005},{"id":"https://openalex.org/keywords/recurrence-relations","display_name":"recurrence relations","score":0.7599999904632568},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.7149999737739563},{"id":"https://openalex.org/keywords/controllability","display_name":"controllability","score":0.8679999709129333}],"concepts":[{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5672000050544739},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5038108229637146},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4651535451412201},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4436858594417572},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4249255359172821},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3495769500732422},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06649523973464966}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.17223/19988605/30/1","doi":"https://doi.org/10.17223/19988605/30/1","is_oa":true,"landing_page_url":"http://doi.org/10.17223/19988605/30/1","pdf_url":"http://journals.tsu.ru/uploads/import/1176/files/1(30)_004.pdf","source":{"id":"https://openalex.org/S4210175835","display_name":"Vestnik Tomskogo gosudarstvennogo universiteta Upravlenie vychislitel naya tekhnika i informatika","issn_l":"1998-8605","issn":["1998-8605","2311-2085"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310312658","host_organization_name":"Omsk State University","host_organization_lineage":["https://openalex.org/P4310312658"],"host_organization_lineage_names":["Omsk State University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitel'naya tekhnika i informatika","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.17223/19988605/30/1","doi":"https://doi.org/10.17223/19988605/30/1","is_oa":true,"landing_page_url":"http://doi.org/10.17223/19988605/30/1","pdf_url":"http://journals.tsu.ru/uploads/import/1176/files/1(30)_004.pdf","source":{"id":"https://openalex.org/S4210175835","display_name":"Vestnik Tomskogo gosudarstvennogo universiteta Upravlenie vychislitel naya tekhnika i informatika","issn_l":"1998-8605","issn":["1998-8605","2311-2085"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310312658","host_organization_name":"Omsk State University","host_organization_lineage":["https://openalex.org/P4310312658"],"host_organization_lineage_names":["Omsk State University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitel'naya tekhnika i informatika","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4254682001.pdf","grobid_xml":"https://content.openalex.org/works/W4254682001.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W2002610999"],"related_works":["https://openalex.org/W2465206734","https://openalex.org/W2493721872","https://openalex.org/W7034994594","https://openalex.org/W7111987874","https://openalex.org/W7172078098","https://openalex.org/W2753793704","https://openalex.org/W7115081322","https://openalex.org/W769608042","https://openalex.org/W1998205605","https://openalex.org/W2533275781"],"abstract_inverted_index":{"\u0412\u0415\u0421\u0422\u041d\u0418\u041a":[0],"\u0422\u041e\u041c\u0421\u041a\u041e\u0413\u041e":[1],"\u0413\u041e\u0421\u0423\u0414\u0410\u0420\u0421\u0422\u0412\u0415\u041d\u041d\u041e\u0413\u041e":[2],"\u0423\u041d\u0418\u0412\u0415\u0420\u0421\u0418\u0422\u0415\u0422\u0410":[3],"2015":[4],"\u0423\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435,":[5],"\u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c\u043d\u0430\u044f":[6],"\u0442\u0435\u0445\u043d\u0438\u043a\u0430":[7],"\u0438":[8,49,63,68,89,101,113],"\u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430":[9],"\u2116":[10,40],"1":[11],"(30)":[12],"\u0423\u041f\u0420\u0410\u0412\u041b\u0415\u041d\u0418\u0415":[13],"\u0414\u0418\u041d\u0410\u041c\u0418\u0427\u0415\u0421\u041a\u0418\u041c\u0418":[14],"\u0421\u0418\u0421\u0422\u0415\u041c\u0410\u041c\u0418":[15],"\u0423\u0414\u041a":[16],"517.977\u0420.\u041e.\u041c\u0430\u0441\u0442\u0430\u043b\u0438\u0435\u0432":[17],"\u041d\u0415\u041e\u0411\u0425\u041e\u0414\u0418\u041c\u042b\u0415":[18],"\u0423\u0421\u041b\u041e\u0412\u0418\u042f":[19],"\u041e\u041f\u0422\u0418\u041c\u0410\u041b\u042c\u041d\u041e\u0421\u0422\u0418":[20],"\u0412":[21],"\u0417\u0410\u0414\u0410\u0427\u0415":[22],"\u041e\u041f\u0422\u0418\u041c\u0410\u041b\u042c\u041d\u041e\u0413\u041e":[23],"\u0423\u041f\u0420\u0410\u0412\u041b\u0415\u041d\u0418\u042f":[24],"\u0414\u0418\u0421\u041a\u0420\u0415\u0422\u041d\u041e-\u041d\u0415\u041f\u0420\u0415\u0420\u042b\u0412\u041d\u041e\u0419":[25],"\u0421\u0418\u0421\u0422\u0415\u041c\u041e\u0419":[26],"\u0420\u0430\u0431\u043e\u0442\u0430":[27],"\u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0430":[28],"\u043f\u0440\u0438":[29,35],"\u0444\u0438\u043d\u0430\u043d\u0441\u043e\u0432\u043e\u0439":[30],"\u043f\u043e\u0434\u0434\u0435\u0440\u0436\u043a\u0435":[31],"\u0424\u043e\u043d\u0434\u0430":[32],"\u0440\u0430\u0437\u0432\u0438\u0442\u0438\u044f":[33],"\u043d\u0430\u0443\u043a\u0438":[34],"\u041f\u0440\u0435\u0437\u0438\u0434\u0435\u043d\u0442\u0435":[36],"\u0410\u0437\u0435\u0440\u0431\u0430\u0439\u0434\u0436\u0430\u043d\u0441\u043a\u043e\u0439":[37],"\u0420\u0435\u0441\u043f\u0443\u0431\u043b\u0438\u043a\u0438":[38],"(\u0433\u0440\u0430\u043d\u0442":[39],"EIF/GAM-2-2013-2(8)-25/06/1).\u0420\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0435\u0442\u0441\u044f":[41],"\u0437\u0430\u0434\u0430\u0447\u0430":[42],"\u0443\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f":[43,57],"\u0441\u0442\u0443\u043f\u0435\u043d\u0447\u0430\u0442\u043e\u0439":[44,107],"\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u043e\u0439,":[45],"\u043e\u043f\u0438\u0441\u044b\u0432\u0430\u0435\u043c\u043e\u0439":[46,111],"\u0441\u0438\u0441\u0442\u0435\u043c\u043e\u0439":[47],"\u0440\u0430\u0437\u043d\u043e\u0441\u0442\u043d\u044b\u0445":[48],"\u0438\u043d\u0442\u0435\u0433\u0440\u043e\u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u044b\u0445":[50],"\u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439":[51],"\u0442\u0438\u043f\u0430":[52,71,92,116],"\u0412\u043e\u043b\u044c\u0442\u0435\u0440\u0440\u0430.\u041f\u0440\u0438":[53],"\u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0438":[54],"\u043e\u0442\u043a\u0440\u044b\u0442\u043e\u0441\u0442\u0438":[55],"\u043e\u0431\u043b\u0430\u0441\u0442\u0438":[56],"\u043f\u043e\u043b\u0443\u0447\u0435\u043d\u044b":[58],"\u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u044b\u0435":[59,95],"\u0443\u0441\u043b\u043e\u0432\u0438\u044f":[60,96,99],"\u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u0438":[61],"\u043f\u0435\u0440\u0432\u043e\u0433\u043e":[62],"\u0432\u0442\u043e\u0440\u043e\u0433\u043e":[64],"\u043f\u043e\u0440\u044f\u0434\u043a\u043e\u0432.\u041a\u043b\u044e\u0447\u0435\u0432\u044b\u0435":[65],"\u0441\u043b\u043e\u0432\u0430:":[66],"\u0440\u0430\u0437\u043d\u043e\u0441\u0442\u043d\u044b\u0435":[67],"\u0438\u043d\u0442\u0435\u0433\u0440\u043e-\u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u044b\u0435":[69],"\u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f":[70,77],"\u0412\u043e\u043b\u044c\u0442\u0435\u0440\u0440\u0430;":[72],"\u0441\u0442\u0443\u043f\u0435\u043d\u0447\u0430\u0442\u0430\u044f":[73],"\u0437\u0430\u0434\u0430\u0447\u0430;":[74],"\u0432\u0430\u0440\u0438\u0430\u0446\u0438\u044f":[75],"\u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u0430;":[76],"\u042d\u0439\u043b\u0435\u0440\u0430.\u0412":[78],"\u0440\u0430\u0431\u043e\u0442\u0430\u0445":[79],"[1,":[80],"2]":[81],"\u0438\u0437\u0443\u0447\u0435\u043d\u044b":[82],"\u0437\u0430\u0434\u0430\u0447\u0438":[83],"\u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e":[84,109],"\u0443\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f,":[85,110],"\u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e,":[86],"\u043e\u043f\u0438\u0441\u044b\u0432\u0430\u0435\u043c\u044b\u0435":[87],"\u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u044c\u043d\u044b\u043c\u0438":[88],"\u0440\u0430\u0437\u043d\u043e\u0441\u0442\u043d\u044b\u043c\u0438":[90,112],"\u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f\u043c\u0438":[91,115],"\u0412\u043e\u043b\u044c\u0442\u0435\u0440\u0440\u0430,":[93],"\u0434\u043e\u043a\u0430\u0437\u0430\u043d\u044b":[94],"\u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u0438,":[97],"\u043d\u0430\u0439\u0434\u0435\u043d\u044b":[98],"\u0443\u043f\u0440\u0430\u0432\u043b\u044f\u0435\u043c\u043e\u0441\u0442\u0438":[100],"\u0434\u0440.\u041f\u0440\u0435\u0434\u043b\u0430\u0433\u0430\u0435\u043c\u0430\u044f":[102],"\u0440\u0430\u0431\u043e\u0442\u0430":[103],"\u043f\u043e\u0441\u0432\u044f\u0449\u0435\u043d\u0430":[104],"\u0438\u0437\u0443\u0447\u0435\u043d\u0438\u044e":[105],"\u043e\u0434\u043d\u043e\u0439":[106],"\u0437\u0430\u0434\u0430\u0447\u0435":[108],"\u0438\u043d\u0442\u0435\u0433\u0440\u043e-\u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u0430\u043b\u044c\u043d\u044b\u043c\u0438":[114],"\u0412\u043e\u043b\u044c\u0442\u0435\u0440\u0440\u0430.":[117]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2022-05-12T00:00:00"}