{"id":"https://openalex.org/W2904167731","doi":"https://doi.org/10.1134/s0005117918120068","title":"Identification of Piecewise Linear Parameters of Regression Models of Non-Stationary Deterministic Systems","display_name":"Identification of Piecewise Linear Parameters of Regression Models of Non-Stationary Deterministic Systems","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2904167731","doi":"https://doi.org/10.1134/s0005117918120068","mag":"2904167731"},"language":"en","primary_location":{"id":"doi:10.1134/s0005117918120068","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117918120068","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/A5100623814","display_name":"Jian Wang","orcid":"https://orcid.org/0000-0001-5728-169X"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian Wang","raw_affiliation_strings":["Hangzhou Dianzi University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hangzhou Dianzi University, Hangzhou, China","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Tuan Le Vang","orcid":null},"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"]},{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Tuan Le Vang","raw_affiliation_strings":["ITMO University (National Research University of Information Technologies, Mechanics and Optics), St. Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ITMO University (National Research University of Information Technologies, Mechanics and Optics), St. Petersburg, Russia","institution_ids":["https://openalex.org/I171241948","https://openalex.org/I173089394"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083189139","display_name":"Anton A. Pyrkin","orcid":"https://orcid.org/0000-0001-8806-4057"},"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"]},{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. A. Pyrkin","raw_affiliation_strings":["ITMO University (National Research University of Information Technologies, Mechanics and Optics), St. Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ITMO University (National Research University of Information Technologies, Mechanics and Optics), St. Petersburg, Russia","institution_ids":["https://openalex.org/I171241948","https://openalex.org/I173089394"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001747199","display_name":"Sergey A. Kolyubin","orcid":"https://orcid.org/0000-0002-8057-1959"},"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"]},{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"S. A. Kolyubin","raw_affiliation_strings":["ITMO University (National Research University of Information Technologies, Mechanics and Optics), St. Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ITMO University (National Research University of Information Technologies, Mechanics and Optics), St. Petersburg, Russia","institution_ids":["https://openalex.org/I171241948","https://openalex.org/I173089394"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067876548","display_name":"Alexey Bobtsov","orcid":"https://orcid.org/0000-0003-1854-6717"},"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"]},{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. A. Bobtsov","raw_affiliation_strings":["ITMO University (National Research University of Information Technologies, Mechanics and Optics), St. Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ITMO University (National Research University of Information Technologies, Mechanics and Optics), St. Petersburg, Russia","institution_ids":["https://openalex.org/I171241948","https://openalex.org/I173089394"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100623814"],"corresponding_institution_ids":["https://openalex.org/I50760025"],"apc_list":null,"apc_paid":null,"fwci":1.3212,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.80873524,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"79","issue":"12","first_page":"2159","last_page":"2168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9929999709129333,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9929999709129333,"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/T11236","display_name":"Control Systems and Identification","score":0.992900013923645,"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/T14470","display_name":"Advanced Data Processing Techniques","score":0.9921000003814697,"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/generalization","display_name":"Generalization","score":0.7704442143440247},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.7419750094413757},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.7036208510398865},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6127297282218933},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.5595617294311523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5282624959945679},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47246265411376953},{"id":"https://openalex.org/keywords/segmented-regression","display_name":"Segmented regression","score":0.46059903502464294},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4583342671394348},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.42365968227386475},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4047374129295349},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3579755425453186},{"id":"https://openalex.org/keywords/polynomial-regression","display_name":"Polynomial regression","score":0.17531844973564148},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1377829909324646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0561755895614624}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7704442143440247},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.7419750094413757},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.7036208510398865},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6127297282218933},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.5595617294311523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5282624959945679},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47246265411376953},{"id":"https://openalex.org/C35519122","wikidata":"https://www.wikidata.org/wiki/Q3775699","display_name":"Segmented regression","level":4,"score":0.46059903502464294},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4583342671394348},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.42365968227386475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4047374129295349},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3579755425453186},{"id":"https://openalex.org/C120068334","wikidata":"https://www.wikidata.org/wiki/Q45343","display_name":"Polynomial regression","level":3,"score":0.17531844973564148},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1377829909324646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0561755895614624},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0005117918120068","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117918120068","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W130083205","https://openalex.org/W1508878338","https://openalex.org/W1965324089","https://openalex.org/W2047993072","https://openalex.org/W2064364553","https://openalex.org/W2065086044","https://openalex.org/W2085987809","https://openalex.org/W2105266007","https://openalex.org/W2113762212","https://openalex.org/W2132991926","https://openalex.org/W2138757093","https://openalex.org/W2161718138","https://openalex.org/W2227841920","https://openalex.org/W2273428526","https://openalex.org/W2497025619","https://openalex.org/W2534458687","https://openalex.org/W2586782891","https://openalex.org/W2765971615","https://openalex.org/W2963203687","https://openalex.org/W2963603948"],"related_works":["https://openalex.org/W2133947431","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W2055707752","https://openalex.org/W2490196280","https://openalex.org/W3208509670","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W1564729776","https://openalex.org/W2083709218"],"abstract_inverted_index":{"We":[0,45,68,82],"consider":[1,70],"the":[2,24,32,35,49,61,65,74,91,94],"problem":[3],"of":[4,26,29,34,41,64,76,80,86,93],"identifying":[5],"unknown":[6,42,53],"nonstationary":[7],"piecewise":[8],"linear":[9,13],"parameters":[10],"for":[11],"a":[12,27,71],"regression":[14],"model.":[15],"A":[16],"new":[17],"algorithm":[18],"is":[19],"proposed":[20,66,95],"that":[21,89],"allows,":[22],"in":[23,47],"case":[25,50,75],"number":[28,79],"assumptions":[30],"on":[31],"elements":[33],"regressor,":[36],"to":[37,59,73],"provide":[38],"an":[39,77,84],"estimate":[40],"non-stationary":[43],"parameters.":[44,81],"analyze":[46],"detail":[48],"with":[51],"two":[52],"parameters,":[54],"which":[55],"makes":[56],"it":[57],"possible":[58],"understand":[60],"main":[62],"idea":[63],"approach.":[67,96],"also":[69],"generalization":[72],"arbitrary":[78],"give":[83],"example":[85],"computer":[87],"simulation":[88],"illustrates":[90],"efficiency":[92]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}