{"id":"https://openalex.org/W6481539","doi":"https://doi.org/10.1023/a:1019238414564","title":"An Internal Transition Layer in a Linear Optimal Control Problem","display_name":"An Internal Transition Layer in a Linear Optimal Control Problem","publication_year":2001,"publication_date":"2001-03-01","ids":{"openalex":"https://openalex.org/W6481539","doi":"https://doi.org/10.1023/a:1019238414564","mag":"6481539"},"language":"en","primary_location":{"id":"doi:10.1023/a:1019238414564","doi":"https://doi.org/10.1023/a:1019238414564","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019238414564","pdf_url":null,"source":{"id":"https://openalex.org/S71958379","display_name":"Differential Equations","issn_l":"0012-2661","issn":["0012-2661","1608-3083"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Differential Equations","raw_type":"journal-article"},"volume":null,"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/A5089063033","display_name":"Abdukhafiz Abdurasulovich Bobodzhanov","orcid":"https://orcid.org/0000-0003-4416-7868","observed_orcids":["https://orcid.org/0000-0003-4416-7868"]},"institutions":[{"id":"https://openalex.org/I171241948","display_name":"Moscow Power Engineering Institute","ror":"https://ror.org/05sa6gg87","country_code":"RU","type":"education","lineage":["https://openalex.org/I171241948"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. A. Bobodzhanov","raw_affiliation_strings":["Moscow Power Engineering Institute, Moscow, Russia","[Moscow Power Engineering Institute, Moscow, Russia]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Power Engineering Institute, Moscow, Russia","institution_ids":["https://openalex.org/I171241948"]},{"raw_affiliation_string":"[Moscow Power Engineering Institute, Moscow, Russia]","institution_ids":["https://openalex.org/I171241948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110918399","display_name":"\u0412. \u0424. \u0421\u0430\u0444\u043e\u043d\u043e\u0432","orcid":"https://orcid.org/0000-0002-0070-5401","observed_orcids":["https://orcid.org/0000-0002-0070-5401"]},"institutions":[{"id":"https://openalex.org/I171241948","display_name":"Moscow Power Engineering Institute","ror":"https://ror.org/05sa6gg87","country_code":"RU","type":"education","lineage":["https://openalex.org/I171241948"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"V. F. Safonov","raw_affiliation_strings":["Moscow Power Engineering Institute, Moscow, Russia","[Moscow Power Engineering Institute, Moscow, Russia]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Power Engineering Institute, Moscow, Russia","institution_ids":["https://openalex.org/I171241948"]},{"raw_affiliation_string":"[Moscow Power Engineering Institute, Moscow, Russia]","institution_ids":["https://openalex.org/I171241948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I171241948"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.00108509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":"3","first_page":"332","last_page":"345"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.6021000146865845,"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"}},"topics":[{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.6021000146865845,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.1088000014424324,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.05999999865889549,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/internal-transition-layer","display_name":"internal transition layer","score":0.8050000071525574},{"id":"https://openalex.org/keywords/linear-optimal-control","display_name":"linear optimal control","score":0.8320000171661377},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"singular perturbation","score":0.6549999713897705},{"id":"https://openalex.org/keywords/boundary-layer","display_name":"boundary layer","score":0.46299999952316284},{"id":"https://openalex.org/keywords/optimal-control-problems","display_name":"optimal control problems","score":0.35499998927116394}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7152196764945984},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4890814423561096},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.350328266620636},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2533203959465027}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1019238414564","doi":"https://doi.org/10.1023/a:1019238414564","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019238414564","pdf_url":null,"source":{"id":"https://openalex.org/S71958379","display_name":"Differential Equations","issn_l":"0012-2661","issn":["0012-2661","1608-3083"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Differential Equations","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"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/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2016-06-24T00:00:00"}