{"id":"https://openalex.org/W2884074007","doi":"https://doi.org/10.1109/vss.2018.8460306","title":"Consistent Discretization of Finite-time Stable Homogeneous Systems","display_name":"Consistent Discretization of Finite-time Stable Homogeneous Systems","publication_year":2018,"publication_date":"2018-07-01","ids":{"openalex":"https://openalex.org/W2884074007","doi":"https://doi.org/10.1109/vss.2018.8460306","mag":"2884074007"},"language":"en","primary_location":{"id":"doi:10.1109/vss.2018.8460306","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vss.2018.8460306","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 15th International Workshop on Variable Structure Systems (VSS)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-01794386","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080470963","display_name":"Andrey Polyakov","orcid":null},"institutions":[{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Andrey Polyakov","raw_affiliation_strings":["Univ. Lille, UMR9189- CRIStAL, Lille, France","NON-A-POST - Non-Asymptotic estimation for online systems (Parc Scientifique de la Haute Borne 40, avenue Halley B\u00e2t.A, Park Plaza 59650 Villeneuve d'Ascq - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Lille, UMR9189- CRIStAL, Lille, France","institution_ids":["https://openalex.org/I2279609970"]},{"raw_affiliation_string":"NON-A-POST - Non-Asymptotic estimation for online systems (Parc Scientifique de la Haute Borne 40, avenue Halley B\u00e2t.A, Park Plaza 59650 Villeneuve d'Ascq - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039416214","display_name":"Denis Efimov","orcid":"https://orcid.org/0000-0001-8847-5235"},"institutions":[{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Denis Efimov","raw_affiliation_strings":["Univ. Lille, UMR9189- CRIStAL, Lille, France","NON-A-POST - Non-Asymptotic estimation for online systems (Parc Scientifique de la Haute Borne 40, avenue Halley B\u00e2t.A, Park Plaza 59650 Villeneuve d'Ascq - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Lille, UMR9189- CRIStAL, Lille, France","institution_ids":["https://openalex.org/I2279609970"]},{"raw_affiliation_string":"NON-A-POST - Non-Asymptotic estimation for online systems (Parc Scientifique de la Haute Borne 40, avenue Halley B\u00e2t.A, Park Plaza 59650 Villeneuve d'Ascq - France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008893163","display_name":"Bernard Brogliato","orcid":"https://orcid.org/0000-0002-6193-9404"},"institutions":[{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]},{"id":"https://openalex.org/I4210101348","display_name":"Centre Inria de l'Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/00n8d6z93","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210101348"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bernard Brogliato","raw_affiliation_strings":["Inria Grenoble, Montbonnot-Saint-Martin, France","TRIPOP - Mod\u00e9lisation, simulation et commande des syst\u00e8mes dynamiques non lisses (Inovall\u00e9e 655 avenue de l'Europe38330 Montbonnot - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria Grenoble, Montbonnot-Saint-Martin, France","institution_ids":["https://openalex.org/I4210101348","https://openalex.org/I899635006"]},{"raw_affiliation_string":"TRIPOP - Mod\u00e9lisation, simulation et commande des syst\u00e8mes dynamiques non lisses (Inovall\u00e9e 655 avenue de l'Europe38330 Montbonnot - France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080470963"],"corresponding_institution_ids":["https://openalex.org/I2279609970"],"apc_list":null,"apc_paid":null,"fwci":1.6856,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.84995671,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"360","last_page":"365"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9997000098228455,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9997000098228455,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9991999864578247,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.7402893304824829},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6988238096237183},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5353252291679382},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3010513186454773},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20280513167381287},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20198628306388855},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.1792142689228058}],"concepts":[{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.7402893304824829},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6988238096237183},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5353252291679382},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3010513186454773},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20280513167381287},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20198628306388855},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.1792142689228058}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/vss.2018.8460306","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vss.2018.8460306","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 15th International Workshop on Variable Structure Systems (VSS)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01794386v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01794386","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"VSS 2018 - 15th International Workshop on Variable Structure Systems and Sliding Mode Control, Jul 2018, Graz, Austria. pp.360-365, ⟨10.1109/VSS.2018.8460306⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01794386v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01794386","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"VSS 2018 - 15th International Workshop on Variable Structure Systems and Sliding Mode Control, Jul 2018, Graz, Austria. pp.360-365, ⟨10.1109/VSS.2018.8460306⟩","raw_type":"Conference papers"},"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W143430204","https://openalex.org/W1516289514","https://openalex.org/W1527296550","https://openalex.org/W1550969235","https://openalex.org/W1677822239","https://openalex.org/W1972580903","https://openalex.org/W1974111803","https://openalex.org/W2052883072","https://openalex.org/W2060446060","https://openalex.org/W2080688746","https://openalex.org/W2085960888","https://openalex.org/W2091198516","https://openalex.org/W2092991598","https://openalex.org/W2106099911","https://openalex.org/W2154608673","https://openalex.org/W2161206111","https://openalex.org/W2343614231","https://openalex.org/W2345035396","https://openalex.org/W2563369907","https://openalex.org/W2585372854","https://openalex.org/W2609086070","https://openalex.org/W2790447963","https://openalex.org/W4205431614","https://openalex.org/W4254127125","https://openalex.org/W4293078920","https://openalex.org/W6749239382"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1979597421","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W2007980826","https://openalex.org/W946352265"],"abstract_inverted_index":{"An":[0],"algorithm":[1],"of":[2,22,47],"implicit":[3,34],"discretization":[4,35],"for":[5,44],"generalized":[6],"homogeneous":[7,30],"system":[8,25,31],"having":[9],"discontinuity":[10],"only":[11],"at":[12],"the":[13,23,48],"origin":[14],"is":[15,18,42],"developed.":[16],"It":[17],"based":[19],"on":[20],"transformation":[21],"original":[24],"to":[26],"an":[27],"equivalent":[28],"standard":[29],"which":[32],"admits":[33],"preserving":[36],"finite-time":[37],"convergence":[38],"property.":[39],"The":[40],"scheme":[41],"demonstrated":[43],"a":[45],"version":[46],"so-called":[49],"\u201cquasi-continuous\u201d":[50],"high-order":[51],"sliding":[52],"mode":[53],"algorithm.":[54]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4}],"updated_date":"2026-05-08T15:41:06.802602","created_date":"2025-10-10T00:00:00"}