{"id":"https://openalex.org/W89327923","doi":null,"title":"\u041a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0442\u043e\u0447\u043a\u0438 \u0446\u0435\u043b\u0435\u0432\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u043e\u0432 \u0434\u043b\u044f \u0437\u0430\u0434\u0430\u0447 \u0443\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043a\u0432\u0430\u043d\u0442\u043e\u0432\u044b\u043c\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u0430\u043c\u0438","display_name":"\u041a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0442\u043e\u0447\u043a\u0438 \u0446\u0435\u043b\u0435\u0432\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u043e\u0432 \u0434\u043b\u044f \u0437\u0430\u0434\u0430\u0447 \u0443\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u043a\u0432\u0430\u043d\u0442\u043e\u0432\u044b\u043c\u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u0430\u043c\u0438","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W89327923","mag":"89327923"},"language":"ru","primary_location":{"id":"mag:89327923","doi":null,"is_oa":false,"landing_page_url":"https://cyberleninka.ru/article/n/kriticheskie-tochki-tselevyh-funktsionalov-dlya-zadach-upravleniya-kvantovymi-sistemami","pdf_url":null,"source":{"id":"https://openalex.org/S4210204620","display_name":"Tambov University Reports Series Natural and Technical Sciences","issn_l":"1810-0198","issn":["1810-0198"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["poland-20"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Tambov University Reports Series Natural and Technical Sciences","raw_type":null},"volume":null,"type":"article","indexed_in":[],"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/A5104109974","display_name":"\u0410\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440 \u041d\u0438\u043a\u043e\u043b\u0430\u0435\u0432\u0438\u0447 \u041f\u0435\u0447\u0435\u043d\u044c","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"\u041f\u0435\u0447\u0435\u043d\u044c \u0410\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440 \u041d\u0438\u043a\u043e\u043b\u0430\u0435\u0432\u0438\u0447","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5104109974"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00818151,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.2957000136375427,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10020","display_name":"Quantum Information and Cryptography","score":0.2957000136375427,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.2815000116825104,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.225600004196167,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/critical-points","display_name":"critical points","score":0.9710000157356262},{"id":"https://openalex.org/keywords/objective-functional","display_name":"cost functional","score":0.9819999933242798},{"id":"https://openalex.org/keywords/quantum-control","display_name":"quantum control","score":0.8209999799728394},{"id":"https://openalex.org/keywords/closed-quantum-systems","display_name":"closed quantum systems","score":0.8289999961853027},{"id":"https://openalex.org/keywords/open-quantum-systems","display_name":"open quantum systems","score":0.9990000128746033},{"id":"https://openalex.org/keywords/local-maxima","display_name":"local maxima","score":0.7319999933242798},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.6389999985694885},{"id":"https://openalex.org/keywords/existence-of-critical-points","display_name":"existence of critical points","score":0.7149999737739563}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5793204307556152},{"id":"https://openalex.org/C91528185","wikidata":"https://www.wikidata.org/wiki/Q520952","display_name":"Maxima","level":3,"score":0.5481200814247131},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5279732346534729},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.47380226850509644},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4542454183101654},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.44877728819847107},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3591488003730774},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2883540093898773},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2567892372608185},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.25107520818710327},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2038104236125946},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.19768181443214417},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C554144382","wikidata":"https://www.wikidata.org/wiki/Q213156","display_name":"Performance art","level":2,"score":0.0},{"id":"https://openalex.org/C52119013","wikidata":"https://www.wikidata.org/wiki/Q50637","display_name":"Art history","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:89327923","doi":null,"is_oa":false,"landing_page_url":"https://cyberleninka.ru/article/n/kriticheskie-tochki-tselevyh-funktsionalov-dlya-zadach-upravleniya-kvantovymi-sistemami","pdf_url":null,"source":{"id":"https://openalex.org/S4210204620","display_name":"Tambov University Reports Series Natural and Technical Sciences","issn_l":"1810-0198","issn":["1810-0198"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["poland-20"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Tambov University Reports Series Natural and Technical Sciences","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1815062944","https://openalex.org/W4393106010","https://openalex.org/W2009977354","https://openalex.org/W7100367278","https://openalex.org/W4361855347","https://openalex.org/W1983672937","https://openalex.org/W2319236917","https://openalex.org/W2126745348","https://openalex.org/W4387656224","https://openalex.org/W2517388779"],"abstract_inverted_index":{"In":[0],"this":[1],"talk":[2],"we":[3,23],"consider":[4],"critical":[5,31],"points":[6,32],"for":[7,14,54],"a":[8],"wide":[9],"class":[10],"of":[11,27,41,57],"objective":[12,43],"functionals":[13],"controlled":[15],"quantum":[16,20,50],"systems.":[17],"For":[18,48],"closed":[19],"control":[21],"systems,":[22,51],"show":[24],"the":[25,42,52,55],"existence":[26],"second":[28],"order":[29],"traps":[30,58],"which":[33,60],"are":[34,61,64],"not":[35,62],"global":[36],"maxima":[37],"and":[38],"where":[39],"Hessian":[40],"functional":[44],"is":[45],"negative":[46],"semidefinite.":[47],"open":[49],"conditions":[53],"absence":[56],"(maxima":[59],"global)":[63],"provided.":[65]},"counts_by_year":[],"updated_date":"2026-09-25T08:18:29.962427","created_date":"2016-06-24T00:00:00"}
