{"id":"https://openalex.org/W2890934013","doi":"https://doi.org/10.1109/vss.2018.8460265","title":"Adaptive Continuous Twisting Algorithm of Third Order","display_name":"Adaptive Continuous Twisting Algorithm of Third Order","publication_year":2018,"publication_date":"2018-07-01","ids":{"openalex":"https://openalex.org/W2890934013","doi":"https://doi.org/10.1109/vss.2018.8460265","mag":"2890934013"},"language":"en","primary_location":{"id":"doi:10.1109/vss.2018.8460265","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vss.2018.8460265","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":"conference-paper","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/A5063578435","display_name":"Jes\u00fas Mendoza\u2010Avila","orcid":"https://orcid.org/0000-0003-1374-4132"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jesus Mendoza-Avila","raw_affiliation_strings":["Facultad de Ingenier\u00eda, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011888247","display_name":"Jaime A. Moreno","orcid":"https://orcid.org/0000-0002-2556-9784"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jaime A. Moreno","raw_affiliation_strings":["Instituto de Ingenier\u00eda, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Ingenier\u00eda, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032593897","display_name":"Leonid Fridman","orcid":"https://orcid.org/0000-0003-0208-3615"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Leonid Fridman","raw_affiliation_strings":["Facultad de Ingenier\u00eda, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, Mexico","institution_ids":["https://openalex.org/I8961855"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I8961855"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"144","last_page":"149"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9994000196456909,"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":0.9994000196456909,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9991000294685364,"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":0.9983999729156494,"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/convergence","display_name":"Convergence (economics)","score":0.6970827579498291},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6533662676811218},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.581924557685852},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.5489578247070312},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5385653972625732},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.5340391993522644},{"id":"https://openalex.org/keywords/pendulum","display_name":"Pendulum","score":0.5167878866195679},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.482313871383667},{"id":"https://openalex.org/keywords/inverted-pendulum","display_name":"Inverted pendulum","score":0.4631962180137634},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4619162082672119},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38989561796188354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3534390926361084},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20651409029960632},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19101712107658386},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15372809767723083},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09673261642456055},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08887505531311035}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6970827579498291},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6533662676811218},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.581924557685852},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.5489578247070312},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5385653972625732},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.5340391993522644},{"id":"https://openalex.org/C110639684","wikidata":"https://www.wikidata.org/wiki/Q20702","display_name":"Pendulum","level":2,"score":0.5167878866195679},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.482313871383667},{"id":"https://openalex.org/C192921069","wikidata":"https://www.wikidata.org/wiki/Q550134","display_name":"Inverted pendulum","level":3,"score":0.4631962180137634},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4619162082672119},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38989561796188354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3534390926361084},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20651409029960632},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19101712107658386},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15372809767723083},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09673261642456055},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08887505531311035},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/vss.2018.8460265","is_oa":false,"landing_page_url":"https://doi.org/10.1109/vss.2018.8460265","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.6700000166893005}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W795412691","https://openalex.org/W1516289514","https://openalex.org/W1999558720","https://openalex.org/W2018851823","https://openalex.org/W2077537048","https://openalex.org/W2106850246","https://openalex.org/W2108152581","https://openalex.org/W2133404041","https://openalex.org/W2158503284","https://openalex.org/W2169567139","https://openalex.org/W2205284724","https://openalex.org/W2208608249","https://openalex.org/W2305138675","https://openalex.org/W2420367108","https://openalex.org/W2587895662","https://openalex.org/W2599070313","https://openalex.org/W2963045434","https://openalex.org/W2971246051","https://openalex.org/W4238000550","https://openalex.org/W4293738473","https://openalex.org/W6687733127"],"related_works":["https://openalex.org/W2366352762","https://openalex.org/W2613964090","https://openalex.org/W2081322886","https://openalex.org/W2380425739","https://openalex.org/W962423920","https://openalex.org/W2349324463","https://openalex.org/W1988313539","https://openalex.org/W3185235544","https://openalex.org/W2027541371","https://openalex.org/W4297791327"],"abstract_inverted_index":{"For":[0],"a":[1,66],"triple":[2],"integrator":[3],"with":[4],"Lipschitz":[5],"disturbances":[6],"Continuous":[7],"Twisting":[8],"Algorithm":[9],"of":[10,21,28,33,36,50,83,86],"Third":[11],"Order":[12],"(3-CTA)":[13],"provides":[14],"finite-time":[15],"convergence":[16,74],"to":[17,42,61,69,75],"zero":[18],"by":[19],"means":[20],"continuous":[22],"control":[23],"signal.":[24],"However,":[25],"gains":[26,64],"design":[27],"3-CTA":[29,51,88],"needs":[30],"the":[31,37,63,84],"knowledge":[32],"fourth":[34,76],"derivative":[35],"output":[38],"which":[39],"is":[40,52,57],"difficult":[41],"obtain.":[43],"In":[44],"this":[45],"paper,":[46],"an":[47,90],"adaptive":[48,87],"version":[49],"presented.":[53,95],"An":[54],"adaptation":[55],"law":[56],"used":[58],"in":[59],"order":[60,77],"increase":[62],"until":[65],"level":[67],"allowing":[68],"reject":[70],"perturbations":[71],"and":[72],"achieving":[73],"sliding":[78],"set.":[79],"Additionally,":[80],"experimental":[81],"results":[82],"implementation":[85],"on":[89],"Inertial":[91],"Wheel":[92],"Pendulum":[93],"are":[94]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}