{"id":"https://openalex.org/W1483373265","doi":"https://doi.org/10.1109/acc.2015.7172255","title":"Predefined-time stability of dynamical systems with sliding modes","display_name":"Predefined-time stability of dynamical systems with sliding modes","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1483373265","doi":"https://doi.org/10.1109/acc.2015.7172255","mag":"1483373265"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2015.7172255","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7172255","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","raw_type":"proceedings-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/A5052554617","display_name":"Juan Diego S\u00e1nchez\u2010Torres","orcid":"https://orcid.org/0000-0001-6516-707X"},"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":"Juan Diego Sanchez-Torres","raw_affiliation_strings":["Automatic Control Lab., CINVESTAVIPN, Unidad Guadalajara, Av. del Bosque 1145, CP 45019, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Automatic Control Lab., CINVESTAVIPN, Unidad Guadalajara, Av. del Bosque 1145, CP 45019, M\u00e9xico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067597688","display_name":"Edgar N. S\u00e1nchez","orcid":"https://orcid.org/0000-0002-8695-7879"},"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":"Edgar N. Sanchez","raw_affiliation_strings":["CINVESTAV-IPN, Automatic Control Lab., CP, Mexico","Automatic Control Lab., CINVESTAVIPN, Unidad Guadalajara, Av. del Bosque 1145, CP 45019, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CINVESTAV-IPN, Automatic Control Lab., CP, Mexico","institution_ids":["https://openalex.org/I68368234"]},{"raw_affiliation_string":"Automatic Control Lab., CINVESTAVIPN, Unidad Guadalajara, Av. del Bosque 1145, CP 45019, M\u00e9xico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083196859","display_name":"Alexander G. Loukianov","orcid":"https://orcid.org/0000-0001-5708-803X"},"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":"Alexander G. Loukianov","raw_affiliation_strings":["CINVESTAV-IPN, Automatic Control Lab., CP, Mexico","Automatic Control Lab., CINVESTAVIPN, Unidad Guadalajara, Av. del Bosque 1145, CP 45019, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CINVESTAV-IPN, Automatic Control Lab., CP, Mexico","institution_ids":["https://openalex.org/I68368234"]},{"raw_affiliation_string":"Automatic Control Lab., CINVESTAVIPN, Unidad Guadalajara, Av. del Bosque 1145, CP 45019, M\u00e9xico","institution_ids":["https://openalex.org/I68368234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.1352,"has_fulltext":false,"cited_by_count":322,"citation_normalized_percentile":{"value":0.96225495,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"5842","last_page":"5846"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9995999932289124,"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":0.9995999932289124,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9955000281333923,"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/T12158","display_name":"Guidance and Control Systems","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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":0.7946415543556213},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.7653887867927551},{"id":"https://openalex.org/keywords/settling-time","display_name":"Settling time","score":0.6536107063293457},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5757867097854614},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5724062919616699},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5015361309051514},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4828413128852844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47105643153190613},{"id":"https://openalex.org/keywords/sliding-mode-control","display_name":"Sliding mode control","score":0.4666334092617035},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.4599025249481201},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.4551222324371338},{"id":"https://openalex.org/keywords/linear-dynamical-system","display_name":"Linear dynamical system","score":0.45213478803634644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3569725453853607},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.21144717931747437},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.17407694458961487},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13532766699790955},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12203404307365417},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09501644968986511},{"id":"https://openalex.org/keywords/step-response","display_name":"Step response","score":0.06957325339317322},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.060575515031814575},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05832567811012268}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7946415543556213},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.7653887867927551},{"id":"https://openalex.org/C14781684","wikidata":"https://www.wikidata.org/wiki/Q3983320","display_name":"Settling time","level":3,"score":0.6536107063293457},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5757867097854614},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5724062919616699},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5015361309051514},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4828413128852844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47105643153190613},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.4666334092617035},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.4599025249481201},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.4551222324371338},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.45213478803634644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3569725453853607},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.21144717931747437},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.17407694458961487},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13532766699790955},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12203404307365417},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09501644968986511},{"id":"https://openalex.org/C160030872","wikidata":"https://www.wikidata.org/wiki/Q2142864","display_name":"Step response","level":2,"score":0.06957325339317322},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.060575515031814575},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05832567811012268},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2015.7172255","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7172255","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1497280145","https://openalex.org/W1516289514","https://openalex.org/W1537842733","https://openalex.org/W1987753994","https://openalex.org/W1988837728","https://openalex.org/W2015113370","https://openalex.org/W2030312956","https://openalex.org/W2037639916","https://openalex.org/W2047340799","https://openalex.org/W2092991598","https://openalex.org/W2099227461","https://openalex.org/W2117933783","https://openalex.org/W2485545997","https://openalex.org/W3098500127"],"related_works":["https://openalex.org/W1541871911","https://openalex.org/W2119813522","https://openalex.org/W2050811761","https://openalex.org/W2230606337","https://openalex.org/W2573078457","https://openalex.org/W2505854718","https://openalex.org/W2044696633","https://openalex.org/W2735833300","https://openalex.org/W4238935091","https://openalex.org/W2592826714"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,14,57],"class":[4,44,58],"of":[5,42,45,56,59],"fixed-time":[6],"stable":[7,28],"dynamical":[8,29],"systems":[9,23,46],"with":[10],"settling":[11],"time":[12],"as":[13,26],"explicit":[15],"parameter,":[16],"namely":[17],"the":[18,20,51,54],"inverse":[19],"gain.":[21],"Those":[22],"are":[24,34,36],"defined":[25],"predefined-timed":[27],"systems.":[30],"Continuous":[31],"and":[32],"discontinuous":[33],"cases":[35],"presented.":[37],"A":[38],"detailed":[39],"Lyapunov":[40],"characterization":[41],"this":[43],"is":[47,65],"also":[48],"shown.":[49],"Finally,":[50],"application":[52],"to":[53],"design":[55],"first":[60],"order":[61],"sliding":[62],"mode":[63],"controllers":[64],"exposed.":[66]},"counts_by_year":[{"year":2026,"cited_by_count":15},{"year":2025,"cited_by_count":75},{"year":2024,"cited_by_count":63},{"year":2023,"cited_by_count":54},{"year":2022,"cited_by_count":39},{"year":2021,"cited_by_count":27},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-17T08:01:34.144755","created_date":"2025-10-10T00:00:00"}
