{"id":"https://openalex.org/W3164210163","doi":"https://doi.org/10.1007/s11590-021-01749-6","title":"On periodic solution to control problem with time-driven switching","display_name":"On periodic solution to control problem with time-driven switching","publication_year":2021,"publication_date":"2021-05-19","ids":{"openalex":"https://openalex.org/W3164210163","doi":"https://doi.org/10.1007/s11590-021-01749-6","mag":"3164210163"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-021-01749-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-021-01749-6","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","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/A5020734861","display_name":"Dmitry Gromov","orcid":"https://orcid.org/0000-0002-3009-0620"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]},{"id":"https://openalex.org/I4210105350","display_name":"N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences","ror":"https://ror.org/029fhmb28","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210105350","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I4210119369","display_name":"Ural Branch of the Russian Academy of Sciences","ror":"https://ror.org/02s4h3z39","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210119369"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Dmitry Gromov","raw_affiliation_strings":["Faculty of Applied Mathematics and Optimal Processes, Saint Petersburg State University, University Emb., 7/9, St Petersburg, Russia, 199034","Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia, 620990"],"raw_orcid":"https://orcid.org/0000-0002-3009-0620","affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics and Optimal Processes, Saint Petersburg State University, University Emb., 7/9, St Petersburg, Russia, 199034","institution_ids":["https://openalex.org/I172901346"]},{"raw_affiliation_string":"Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia, 620990","institution_ids":["https://openalex.org/I4210105350","https://openalex.org/I4210119369"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090137170","display_name":"Anton Bondarev","orcid":"https://orcid.org/0000-0003-4572-2405"},"institutions":[{"id":"https://openalex.org/I69356397","display_name":"Xi\u2019an Jiaotong-Liverpool University","ror":"https://ror.org/03zmrmn05","country_code":"CN","type":"education","lineage":["https://openalex.org/I69356397"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Anton Bondarev","raw_affiliation_strings":["International Business School Suzhou, Xi\u2019an Jiaotong-Liverpool University, Ren\u2019ai Road 111, Suzhou, 215123, People\u2019s Republic of China","International Business School Suzhou, Xi'an Jiaotong-Liverpool University, Ren'ai Road 111, Suzhou, 215123, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-4572-2405","affiliations":[{"raw_affiliation_string":"International Business School Suzhou, Xi\u2019an Jiaotong-Liverpool University, Ren\u2019ai Road 111, Suzhou, 215123, People\u2019s Republic of China","institution_ids":["https://openalex.org/I69356397"]},{"raw_affiliation_string":"International Business School Suzhou, Xi'an Jiaotong-Liverpool University, Ren'ai Road 111, Suzhou, 215123, People's Republic of China","institution_ids":["https://openalex.org/I69356397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025516565","display_name":"Ekaterina Gromova","orcid":"https://orcid.org/0000-0003-0290-8373"},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]},{"id":"https://openalex.org/I4210105350","display_name":"N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences","ror":"https://ror.org/029fhmb28","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210105350","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I4210119369","display_name":"Ural Branch of the Russian Academy of Sciences","ror":"https://ror.org/02s4h3z39","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210119369"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Ekaterina Gromova","raw_affiliation_strings":["Department of Mathematics, National Research University Higher School of Economics, St. Petersburg Campus 16 Soyuza Pechatnikov Str., St Petersburg, Russia, 190121","Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia, 620990"],"raw_orcid":"https://orcid.org/0000-0003-0290-8373","affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Research University Higher School of Economics, St. Petersburg Campus 16 Soyuza Pechatnikov Str., St Petersburg, Russia, 190121","institution_ids":["https://openalex.org/I118501908"]},{"raw_affiliation_string":"Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia, 620990","institution_ids":["https://openalex.org/I4210105350","https://openalex.org/I4210119369"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020734861"],"corresponding_institution_ids":["https://openalex.org/I172901346","https://openalex.org/I4210105350","https://openalex.org/I4210119369"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.8727,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.83065237,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"16","issue":"7","first_page":"2019","last_page":"2031"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9973999857902527,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9973999857902527,"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"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9876000285148621,"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"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9861999750137329,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.6860460042953491},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5653423070907593},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5061284899711609},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41629648208618164},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39677464962005615},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32022541761398315},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17373579740524292}],"concepts":[{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.6860460042953491},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5653423070907593},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5061284899711609},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41629648208618164},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39677464962005615},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32022541761398315},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17373579740524292}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-021-01749-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-021-01749-6","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4987724659","display_name":null,"funder_award_id":"17-11-01093","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W633708014","https://openalex.org/W1659904137","https://openalex.org/W2055817960","https://openalex.org/W2057794519","https://openalex.org/W2062887883","https://openalex.org/W2064564945","https://openalex.org/W2085418863","https://openalex.org/W2135986603","https://openalex.org/W2317805483","https://openalex.org/W2588790672","https://openalex.org/W2773984121","https://openalex.org/W2911794565","https://openalex.org/W2913940539","https://openalex.org/W2921579187","https://openalex.org/W2947223618","https://openalex.org/W3024166633","https://openalex.org/W3035684979","https://openalex.org/W3048417553","https://openalex.org/W3100011467","https://openalex.org/W3141285219"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W4238204885"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}