{"id":"https://openalex.org/W2169567139","doi":"https://doi.org/10.1109/tac.2010.2040512","title":"Accuracy of Homogeneous Sliding Modes in the Presence of Fast Actuators","display_name":"Accuracy of Homogeneous Sliding Modes in the Presence of Fast Actuators","publication_year":2010,"publication_date":"2010-02-12","ids":{"openalex":"https://openalex.org/W2169567139","doi":"https://doi.org/10.1109/tac.2010.2040512","mag":"2169567139"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2010.2040512","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2040512","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053643038","display_name":"Arie Levant","orcid":"https://orcid.org/0000-0002-7683-7128"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"A. Levant","raw_affiliation_strings":["School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"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":"L.M. Fridman","raw_affiliation_strings":["Department of Control Engineering, Engineering Faculty, National Autonomous University of Mexico (UNAM), Mexicali, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Control Engineering, Engineering Faculty, National Autonomous University of Mexico (UNAM), Mexicali, Mexico","institution_ids":["https://openalex.org/I8961855"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.0509,"has_fulltext":false,"cited_by_count":71,"citation_normalized_percentile":{"value":0.94751053,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"55","issue":"3","first_page":"810","last_page":"814"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11449","display_name":"Mechanical and Optical Resonators","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11449","display_name":"Mechanical and Optical Resonators","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10923","display_name":"Force Microscopy Techniques and Applications","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.7205447554588318},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.704488217830658},{"id":"https://openalex.org/keywords/infinitesimal","display_name":"Infinitesimal","score":0.6511884927749634},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5893272757530212},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.47301509976387024},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4306355118751526},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.4303942322731018},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40043267607688904},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37775808572769165},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2662575840950012},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1995094120502472},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16484639048576355},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12872618436813354}],"concepts":[{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.7205447554588318},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.704488217830658},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.6511884927749634},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5893272757530212},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.47301509976387024},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4306355118751526},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.4303942322731018},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40043267607688904},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37775808572769165},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2662575840950012},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1995094120502472},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16484639048576355},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12872618436813354},{"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/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/tac.2010.2040512","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2040512","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1487127700","https://openalex.org/W1516289514","https://openalex.org/W1516447630","https://openalex.org/W1592648094","https://openalex.org/W1600100855","https://openalex.org/W1887006513","https://openalex.org/W1974103200","https://openalex.org/W1978447803","https://openalex.org/W1979366106","https://openalex.org/W1983314317","https://openalex.org/W1999558720","https://openalex.org/W2001700494","https://openalex.org/W2001793560","https://openalex.org/W2010061639","https://openalex.org/W2018851823","https://openalex.org/W2019156899","https://openalex.org/W2035518322","https://openalex.org/W2044548198","https://openalex.org/W2054983946","https://openalex.org/W2055833076","https://openalex.org/W2062563267","https://openalex.org/W2091198516","https://openalex.org/W2091698119","https://openalex.org/W2105402195","https://openalex.org/W2118416521","https://openalex.org/W2126338059","https://openalex.org/W2148371085","https://openalex.org/W2150137810","https://openalex.org/W2154190389","https://openalex.org/W2168245063","https://openalex.org/W2294731800","https://openalex.org/W2563369907","https://openalex.org/W4234398551","https://openalex.org/W4249567219","https://openalex.org/W4293078920"],"related_works":["https://openalex.org/W2370598571","https://openalex.org/W2355499472","https://openalex.org/W2349230259","https://openalex.org/W2370818987","https://openalex.org/W2350226651","https://openalex.org/W2361379965","https://openalex.org/W2385204246","https://openalex.org/W2385510272","https://openalex.org/W2348667803","https://openalex.org/W2359941394"],"abstract_inverted_index":{"It":[0],"is":[1,21,42,56],"shown":[2,57],"that":[3],"the":[4,6,12,17,23,38,63],"higher":[5],"order":[7],"<i":[8,49],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[9,50],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">r</i>":[10,51],"of":[11,25,65],"homogeneous":[13],"sliding":[14,39],"mode":[15],"is,":[16],"less":[18],"sensitive":[19],"it":[20],"to":[22,44,47,58],"presence":[24,64],"unaccounted-for":[26],"fast":[27],"stable":[28],"actuators.":[29,66],"With":[30],"\u00bf":[31,48],"being":[32],"an":[33],"infinitesimal":[34],"actuator":[35],"time":[36],"constant,":[37],"variable":[40],"magnitude":[41],"proved":[43],"be":[45,59],"proportional":[46],".":[52],"The":[53],"system":[54],"chattering":[55],"not":[60],"amplified":[61],"in":[62]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}