{"id":"https://openalex.org/W1983994400","doi":"https://doi.org/10.1109/iscas.2006.1693042","title":"Finite switching frequency effects in the sliding mode control of the double integrator system","display_name":"Finite switching frequency effects in the sliding mode control of the double integrator system","publication_year":2006,"publication_date":"2006-09-22","ids":{"openalex":"https://openalex.org/W1983994400","doi":"https://doi.org/10.1109/iscas.2006.1693042","mag":"1983994400"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2006.1693042","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2006.1693042","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Symposium on Circuits and Systems","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/A5037161015","display_name":"Zbigniew Galias","orcid":"https://orcid.org/0000-0001-7253-7075"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Z. Galias","raw_affiliation_strings":["Department of Electrical Engineering, AGH University of Science and Technology, Krakow, Poland","Dept. of Electr. Eng., Sci. & Technol. Univ., Krakow, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, AGH University of Science and Technology, Krakow, Poland","institution_ids":["https://openalex.org/I686019"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Sci. & Technol. Univ., Krakow, Poland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5037161015"],"corresponding_institution_ids":["https://openalex.org/I686019"],"apc_list":null,"apc_paid":null,"fwci":1.677,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.79433025,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"4","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9973000288009644,"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":0.9973000288009644,"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/T10244","display_name":"Chaos control and synchronization","score":0.9944999814033508,"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"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9901000261306763,"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/aperiodic-graph","display_name":"Aperiodic graph","score":0.9486492872238159},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6992074847221375},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.616679310798645},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5681310892105103},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5485242605209351},{"id":"https://openalex.org/keywords/switching-frequency","display_name":"Switching frequency","score":0.5253145694732666},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.520876407623291},{"id":"https://openalex.org/keywords/automatic-frequency-control","display_name":"Automatic frequency control","score":0.49254903197288513},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4621700942516327},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4312901496887207},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3394259214401245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2869065999984741},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12262403964996338},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09477433562278748},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.07273519039154053}],"concepts":[{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.9486492872238159},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6992074847221375},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.616679310798645},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5681310892105103},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5485242605209351},{"id":"https://openalex.org/C2777151078","wikidata":"https://www.wikidata.org/wiki/Q30671714","display_name":"Switching frequency","level":3,"score":0.5253145694732666},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.520876407623291},{"id":"https://openalex.org/C25915539","wikidata":"https://www.wikidata.org/wiki/Q220786","display_name":"Automatic frequency control","level":2,"score":0.49254903197288513},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4621700942516327},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4312901496887207},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3394259214401245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2869065999984741},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12262403964996338},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09477433562278748},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.07273519039154053},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2006.1693042","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2006.1693042","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE International Symposium on Circuits and Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W649962437","https://openalex.org/W1516289514","https://openalex.org/W1516447630","https://openalex.org/W2106099911","https://openalex.org/W2141665837"],"related_works":["https://openalex.org/W2037661079","https://openalex.org/W2339191433","https://openalex.org/W4287817191","https://openalex.org/W4298800952","https://openalex.org/W2039582600","https://openalex.org/W1992569127","https://openalex.org/W172284633","https://openalex.org/W4380551899","https://openalex.org/W2072488449","https://openalex.org/W1605400880"],"abstract_inverted_index":{"Effects":[0],"of":[1,8,35],"finite":[2],"switching":[3,22,61],"frequency":[4,23,62],"on":[5],"the":[6,21,28,36,60,68],"behaviour":[7],"a":[9,32,65],"simple":[10],"sliding":[11],"mode":[12],"control":[13],"system":[14,29,69],"are":[15],"studied.":[16],"We":[17,55],"show":[18],"that":[19,58],"if":[20,59],"is":[24,63],"high":[25],"enough":[26],"then":[27],"converges":[30],"to":[31],"small":[33],"neighborhood":[34],"origin.":[37],"Even":[38],"for":[39],"arbitrarily":[40,74],"fast":[41],"switchings":[42],"there":[43],"exist":[44],"periodic":[45,71],"orbits":[46],"with":[47,73],"infinitely":[48],"long":[49],"periods":[50],"and":[51],"complex":[52],"aperiodic":[53],"trajectories.":[54],"also":[56],"prove":[57],"below":[64],"certain":[66],"threshold,":[67],"sustains":[70],"oscillations":[72],"large":[75],"amplitudes":[76]},"counts_by_year":[{"year":2016,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
