{"id":"https://openalex.org/W4400640112","doi":"https://doi.org/10.1109/tac.2024.3484308","title":"A Variational Approach to the Design of Multivariable Discrete-Time Supertwisting-Like Algorithms","display_name":"A Variational Approach to the Design of Multivariable Discrete-Time Supertwisting-Like Algorithms","publication_year":2024,"publication_date":"2024-10-21","ids":{"openalex":"https://openalex.org/W4400640112","doi":"https://doi.org/10.1109/tac.2024.3484308"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3484308","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3484308","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-04511213v2/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059848223","display_name":"F\u00e9lix Miranda-Villatoro","orcid":"https://orcid.org/0000-0002-2582-9857"},"institutions":[{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"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"]},{"id":"https://openalex.org/I4210149092","display_name":"Laboratoire Jean Kuntzmann","ror":"https://ror.org/04ett5b41","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210149092","https://openalex.org/I899635006","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"F\u00e9lix A. Miranda-Villatoro","raw_affiliation_strings":["Grenoble INP, CNRS, Laboratoire Jean Kuntzmann, Centre Inria de l'Université Grenoble Alpes, Grenoble, France","Centre Inria de l'Université Grenoble Alpes, Grenoble INP, CNRS, Laboratoire Jean Kuntzmann (LJK), Grenoble, France"],"affiliations":[{"raw_affiliation_string":"Grenoble INP, CNRS, Laboratoire Jean Kuntzmann, Centre Inria de l'Université Grenoble Alpes, Grenoble, France","institution_ids":["https://openalex.org/I4210149092","https://openalex.org/I4210101348","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Centre Inria de l'Université Grenoble Alpes, Grenoble INP, CNRS, Laboratoire Jean Kuntzmann (LJK), Grenoble, France","institution_ids":["https://openalex.org/I4210101348","https://openalex.org/I1294671590","https://openalex.org/I4210149092","https://openalex.org/I106785703"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059848223"],"corresponding_institution_ids":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210101348","https://openalex.org/I4210149092"],"apc_list":null,"apc_paid":null,"fwci":0.7328,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64972919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"70","issue":"4","first_page":"2495","last_page":"2506"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9581999778747559,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9581999778747559,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9057000279426575,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multivariable-calculus","display_name":"Multivariable calculus","score":0.9152530431747437},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5941580533981323},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47515034675598145},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4650754928588867},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46078407764434814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37752318382263184},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3007858991622925},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.24647557735443115},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15670430660247803},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14403241872787476}],"concepts":[{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.9152530431747437},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5941580533981323},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47515034675598145},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4650754928588867},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46078407764434814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37752318382263184},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3007858991622925},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.24647557735443115},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15670430660247803},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14403241872787476},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2024.3484308","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3484308","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04511213v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-04511213v2/file/main_HAL_v2.pdf","pdf_url":"https://inria.hal.science/hal-04511213v2/document","source":{"id":"https://openalex.org/S4406922454","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://inria.hal.science/hal-04511213","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-04511213v3","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-04511213v3/file/main_HAL_final.pdf","pdf_url":"https://inria.hal.science/hal-04511213v3/document","source":{"id":"https://openalex.org/S4406922454","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2025, 70 (4), pp.2495-2506. ⟨10.1109/TAC.2024.3484308⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04511213v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-04511213v2/file/main_HAL_v2.pdf","pdf_url":"https://inria.hal.science/hal-04511213v2/document","source":{"id":"https://openalex.org/S4406922454","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://inria.hal.science/hal-04511213","raw_type":"info:eu-repo/semantics/preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400640112.pdf","grobid_xml":"https://content.openalex.org/works/W4400640112.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1493307489","https://openalex.org/W1552094772","https://openalex.org/W2003383420","https://openalex.org/W2018431869","https://openalex.org/W2018851823","https://openalex.org/W2019569173","https://openalex.org/W2030959268","https://openalex.org/W2031945217","https://openalex.org/W2058532290","https://openalex.org/W2070438142","https://openalex.org/W2076062920","https://openalex.org/W2085960888","https://openalex.org/W2119936308","https://openalex.org/W2123406505","https://openalex.org/W2144426941","https://openalex.org/W2164812525","https://openalex.org/W2345035396","https://openalex.org/W2407793931","https://openalex.org/W2420367108","https://openalex.org/W2520056002","https://openalex.org/W2524318075","https://openalex.org/W2757444462","https://openalex.org/W2891828630","https://openalex.org/W2954039140","https://openalex.org/W2981925378","https://openalex.org/W2985488266","https://openalex.org/W3011329342","https://openalex.org/W3161201795","https://openalex.org/W3217191443","https://openalex.org/W4221163651","https://openalex.org/W4255043376","https://openalex.org/W4375840674","https://openalex.org/W4375860094","https://openalex.org/W4385236756","https://openalex.org/W4388073422","https://openalex.org/W4392207804","https://openalex.org/W6686218071"],"related_works":["https://openalex.org/W1576377477","https://openalex.org/W8889929","https://openalex.org/W153759268","https://openalex.org/W2376753062","https://openalex.org/W2586425096","https://openalex.org/W2727817481","https://openalex.org/W4281641023","https://openalex.org/W3186336672","https://openalex.org/W115365579","https://openalex.org/W4233494815"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"a":[3,40],"family":[4,41],"of":[5,24,30,42,66],"discrete-time,":[6],"supertwisting-like":[7],"algorithms":[8,12],"is":[9,33,45],"presented.":[10],"The":[11,28],"are":[13,17,55],"naturally":[14],"vector-valued":[15],"and":[16,35,58],"described":[18],"in":[19],"an":[20],"implicit":[21],"fashion,":[22],"reminiscent":[23],"backward-Euler":[25],"discretization":[26],"schemes.":[27,69],"well-posedness":[29],"the":[31,36,64,67],"closed-loop":[32],"established":[34],"robust":[37],"stability,":[38],"against":[39],"external":[43],"disturbances,":[44],"thoroughly":[46],"studied.":[47],"Implementation":[48],"strategies,":[49],"involving":[50],"splitting-algorithms":[51],"from":[52],"convex":[53],"optimization,":[54],"also":[56],"discussed":[57],"compared.":[59],"Finally,":[60],"numerical":[61],"simulations":[62],"show":[63],"performance":[65],"proposed":[68]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2025-10-10T00:00:00"}