{"id":"https://openalex.org/W2341182542","doi":"https://doi.org/10.1093/imamci/dnv064","title":"Continuous fractional sliding mode-like control for exact rejection of non-differentiable H\u00f6lder disturbances","display_name":"Continuous fractional sliding mode-like control for exact rejection of non-differentiable H\u00f6lder disturbances","publication_year":2015,"publication_date":"2015-12-08","ids":{"openalex":"https://openalex.org/W2341182542","doi":"https://doi.org/10.1093/imamci/dnv064","mag":"2341182542"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnv064","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnv064","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5038586394","display_name":"Aldo Jonathan Mu\u00f1oz\u2010V\u00e1zquez","orcid":"https://orcid.org/0000-0001-5125-2644"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"A. J. Mu\u00f1oz-V\u00e1zquez","raw_affiliation_strings":["Robotics and Advanced Manufacturing Division, Research Center for Advanced Studies (Cinvestav-Ipn), Saltillo Campus, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Robotics and Advanced Manufacturing Division, Research Center for Advanced Studies (Cinvestav-Ipn), Saltillo Campus, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028434777","display_name":"Vicente Parra\u2010Vega","orcid":"https://orcid.org/0000-0002-1813-0394"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"V. Parra-Vega","raw_affiliation_strings":["Robotics and Advanced Manufacturing Division, Research Center for Advanced Studies (Cinvestav-Ipn), Saltillo Campus, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Robotics and Advanced Manufacturing Division, Research Center for Advanced Studies (Cinvestav-Ipn), Saltillo Campus, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003237228","display_name":"A. Sanchez","orcid":"https://orcid.org/0000-0002-6553-1641"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"A. S\u00e1nchez-Orta","raw_affiliation_strings":["Robotics and Advanced Manufacturing Division, Research Center for Advanced Studies (Cinvestav-Ipn), Saltillo Campus, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Robotics and Advanced Manufacturing Division, Research Center for Advanced Studies (Cinvestav-Ipn), Saltillo Campus, Mexico","institution_ids":["https://openalex.org/I68368234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038586394"],"corresponding_institution_ids":["https://openalex.org/I68368234"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":2.67,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.90475193,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"dnv064","last_page":"dnv064"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9979000091552734,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9979000091552734,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9900000095367432,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9843999743461609,"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/control-theory","display_name":"Control theory (sociology)","score":0.7018691301345825},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.6695213913917542},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6351128220558167},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5798054337501526},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4987983703613281},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.46982693672180176},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.44708943367004395},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.44262686371803284},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32654446363449097},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25513482093811035},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.21591028571128845},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20391631126403809},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19664746522903442},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11802521347999573}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7018691301345825},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6695213913917542},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6351128220558167},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5798054337501526},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4987983703613281},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.46982693672180176},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.44708943367004395},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44262686371803284},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32654446363449097},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25513482093811035},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.21591028571128845},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20391631126403809},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19664746522903442},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11802521347999573},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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:10.1093/imamci/dnv064","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnv064","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1516289514","https://openalex.org/W1530054495","https://openalex.org/W1960239420","https://openalex.org/W1960613717","https://openalex.org/W1969313263","https://openalex.org/W1971235731","https://openalex.org/W1984309773","https://openalex.org/W1992277028","https://openalex.org/W1997882047","https://openalex.org/W1999913367","https://openalex.org/W2020402888","https://openalex.org/W2026754326","https://openalex.org/W2030145630","https://openalex.org/W2031753087","https://openalex.org/W2031945217","https://openalex.org/W2035518322","https://openalex.org/W2046213597","https://openalex.org/W2051190711","https://openalex.org/W2065043747","https://openalex.org/W2078788510","https://openalex.org/W2087070570","https://openalex.org/W2088921693","https://openalex.org/W2103616988","https://openalex.org/W2105402195","https://openalex.org/W2141156915","https://openalex.org/W2246008333","https://openalex.org/W2290555314","https://openalex.org/W2291051087","https://openalex.org/W2787959293","https://openalex.org/W3147326347","https://openalex.org/W4237726272","https://openalex.org/W4293078920","https://openalex.org/W6655453344"],"related_works":["https://openalex.org/W4285277090","https://openalex.org/W4327738859","https://openalex.org/W2348722996","https://openalex.org/W2334570605","https://openalex.org/W3181683615","https://openalex.org/W4286826125","https://openalex.org/W1633485514","https://openalex.org/W1980454230","https://openalex.org/W2300851791","https://openalex.org/W1604739066"],"abstract_inverted_index":{"Exploiting":[0],"algebraic":[1],"and":[2,91,121],"topological":[3],"properties":[4],"of":[5,14,28,42,55,98,111,118,128],"differintegral":[6],"operators":[7],"as":[8,10,105],"well":[9,106],"a":[11,18,25,39,47,135],"proposed":[12,87,96,130],"principle":[13,97],"dynamic":[15,99],"memory":[16,100],"resetting,":[17],"uniform":[19],"continuous":[20,74],"sliding":[21,48,113],"mode":[22],"controller":[23,37],"for":[24,88],"general":[26],"class":[27,41],"integer":[29,92],"order":[30,93],"affine":[31],"non-linear":[32],"systems":[33],"is":[34,54,59,72,132],"proposed.":[35],"The":[36,69,95,126],"rejects":[38],"wide":[40],"disturbances,":[43],"enforcing":[44],"in":[45,63,75,134],"finite-time":[46,109],"regime":[49],"without":[50],"chattering.":[51],"Such":[52],"disturbance":[53,124],"H\u00f6lder":[56],"type":[57],"that":[58,84],"not":[60],"necessarily":[61],"differentiable":[62],"the":[64,78,112,129],"usual":[65],"(integer":[66,80],"order)":[67,81],"sense.":[68],"control":[70],"signal":[71],"uniformly":[73],"contrast":[76],"to":[77],"classical":[79],"discontinuous":[82],"scheme":[83,131],"has":[85],"been":[86],"both":[89],"fractional":[90],"systems.":[94],"resetting":[101],"allows":[102],"demonstrating":[103],"robustness":[104],"as:":[107],"(i)":[108],"convergence":[110,117],"manifold,":[114],"(ii)":[115],"asymptotic":[116],"tracking":[119],"errors,":[120],"(iii)":[122],"exact":[123],"observation.":[125],"validity":[127],"discussed":[133],"representative":[136],"numerical":[137],"study.":[138]},"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
