{"id":"https://openalex.org/W2057005792","doi":"https://doi.org/10.1134/s0005117915030054","title":"Invariant sets for the nonlinear impulsive control systems","display_name":"Invariant sets for the nonlinear impulsive control systems","publication_year":2015,"publication_date":"2015-03-01","ids":{"openalex":"https://openalex.org/W2057005792","doi":"https://doi.org/10.1134/s0005117915030054","mag":"2057005792"},"language":"en","primary_location":{"id":"doi:10.1134/s0005117915030054","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117915030054","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"Automation and Remote 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/A5026301294","display_name":"O. N. Samsonyuk","orcid":"https://orcid.org/0000-0002-6060-9526"},"institutions":[{"id":"https://openalex.org/I4210148533","display_name":"Institute for System Dynamics and Control Theory","ror":"https://ror.org/04wteqw51","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210127387","https://openalex.org/I4210148533","https://openalex.org/I4210164537"]},{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"O. N. Samsonyuk","raw_affiliation_strings":["Institute of System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia","Institute of System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia","institution_ids":["https://openalex.org/I4210148533"]},{"raw_affiliation_string":"Institute of System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia#TAB#","institution_ids":["https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026301294"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210148533"],"apc_list":null,"apc_paid":null,"fwci":0.7058,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.73763525,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"76","issue":"3","first_page":"405","last_page":"418"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9954000115394592,"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":0.9954000115394592,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9387999773025513,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9017999768257141,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.7436720132827759},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7168241739273071},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7127543687820435},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6454881429672241},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5448096394538879},{"id":"https://openalex.org/keywords/bounded-variation","display_name":"Bounded variation","score":0.4400377869606018},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43244630098342896},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41334232687950134},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3809809386730194},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3452805280685425},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3431624174118042},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18772879242897034},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08323824405670166},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.08248987793922424},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07035383582115173}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7436720132827759},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7168241739273071},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7127543687820435},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6454881429672241},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5448096394538879},{"id":"https://openalex.org/C27851653","wikidata":"https://www.wikidata.org/wiki/Q829653","display_name":"Bounded variation","level":2,"score":0.4400377869606018},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43244630098342896},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41334232687950134},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3809809386730194},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3452805280685425},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3431624174118042},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18772879242897034},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08323824405670166},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.08248987793922424},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07035383582115173},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0005117915030054","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117915030054","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"Automation and Remote Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.41999998688697815,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1960239420","https://openalex.org/W1968199169","https://openalex.org/W2039663524","https://openalex.org/W2043142530","https://openalex.org/W2043943566","https://openalex.org/W2051666174","https://openalex.org/W2064147698","https://openalex.org/W2066616184","https://openalex.org/W2070282458","https://openalex.org/W2089698141","https://openalex.org/W2105347512","https://openalex.org/W2146750067","https://openalex.org/W2258733318","https://openalex.org/W2798574506","https://openalex.org/W3162272182","https://openalex.org/W4210718478"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W4386900933","https://openalex.org/W4385301946","https://openalex.org/W4297797135","https://openalex.org/W2350325755","https://openalex.org/W2356614471","https://openalex.org/W2389758888","https://openalex.org/W1485170658","https://openalex.org/W2057115809"],"abstract_inverted_index":{"The":[0,12],"nonlinear":[1],"impulsive":[2,26,47],"control":[3,27],"system":[4,28,37],"with":[5],"trajectories":[6],"of":[7,14,19,55],"bounded":[8],"variation":[9],"is":[10],"considered.":[11],"notions":[13,32],"strong":[15],"and":[16],"weak":[17],"V-invariance":[18],"a":[20],"closed":[21],"set":[22],"relative":[23],"to":[24,35],"the":[25,36,40,46,53,56],"are":[29,33],"introduced.":[30],"These":[31],"adapted":[34],"nonautonomy":[38],"in":[39,44,52],"so-called":[41],"\u201cfast\u201d":[42],"time,":[43],"which":[45],"dynamics":[48],"occurs.":[49],"Invariance":[50],"criteria":[51],"form":[54],"proximal":[57],"Hamilton-Jacobi":[58],"equalities":[59],"were":[60],"proved.":[61]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
