{"id":"https://openalex.org/W2098996002","doi":"https://doi.org/10.1109/tcsii.2011.2149710","title":"Study of Periodic Solutions in Discretized Two-Dimensional Sliding-Mode Control Systems","display_name":"Study of Periodic Solutions in Discretized Two-Dimensional Sliding-Mode Control Systems","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2098996002","doi":"https://doi.org/10.1109/tcsii.2011.2149710","mag":"2098996002"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2011.2149710","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2011.2149710","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/Study_of_periodic_solutions_in_discretized_two-dimensional_sliding-mode_control_systems/27448188","any_repository_has_fulltext":true},"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":"Zbigniew Galias","raw_affiliation_strings":["Department of Electrical Engineering, AGH University of Science and Technology, Krakow, Poland","Dept. of Electr. Eng., AGH Univ. of Sci. & Technol., Krakow, Poland"],"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., AGH Univ. of Sci. & Technol., Krakow, Poland","institution_ids":["https://openalex.org/I686019"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070195520","display_name":"Xinghuo Yu","orcid":"https://orcid.org/0000-0001-8093-9787"},"institutions":[{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Xinghuo Yu","raw_affiliation_strings":["School of Electrical and Computer Engineering, RMIT University, Melbourne, VIC, Australia","Sch. of Electr. & Comput. Eng., RMIT Univ., Melbourne, Vic., Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, RMIT University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I82951845"]},{"raw_affiliation_string":"Sch. of Electr. & Comput. Eng., RMIT Univ., Melbourne, Vic., Australia","institution_ids":["https://openalex.org/I82951845"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037161015"],"corresponding_institution_ids":["https://openalex.org/I686019"],"apc_list":null,"apc_paid":null,"fwci":4.5966,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.94710525,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"58","issue":"6","first_page":"381","last_page":"385"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9997000098228455,"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":0.9997000098228455,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9990000128746033,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9944000244140625,"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/discretization","display_name":"Discretization","score":0.9361658692359924},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.6479711532592773},{"id":"https://openalex.org/keywords/periodic-sequence","display_name":"Periodic sequence","score":0.6356406211853027},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5640339851379395},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5254308581352234},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.4973783791065216},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4972729980945587},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4645296037197113},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.45703354477882385},{"id":"https://openalex.org/keywords/periodic-system","display_name":"Periodic system","score":0.4332755506038666},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25853431224823}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.9361658692359924},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.6479711532592773},{"id":"https://openalex.org/C120241303","wikidata":"https://www.wikidata.org/wiki/Q3503302","display_name":"Periodic sequence","level":2,"score":0.6356406211853027},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5640339851379395},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5254308581352234},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.4973783791065216},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4972729980945587},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4645296037197113},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.45703354477882385},{"id":"https://openalex.org/C2989467761","wikidata":"https://www.wikidata.org/wiki/Q10693","display_name":"Periodic system","level":2,"score":0.4332755506038666},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25853431224823},{"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tcsii.2011.2149710","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2011.2149710","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"},{"id":"pmh:oai:researchbank.rmit.edu.au:rmit:15376","is_oa":false,"landing_page_url":"http://researchbank.rmit.edu.au/view/rmit:15376","pdf_url":null,"source":{"id":"https://openalex.org/S4306402074","display_name":"RMIT Research Repository (RMIT University Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82951845","host_organization_name":"RMIT University","host_organization_lineage":["https://openalex.org/I82951845"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:alma.61RMIT_INST:11246667190001341","is_oa":false,"landing_page_url":"http://doi.org/10.1109/TCSII.2011.2149710","pdf_url":null,"source":{"id":"https://openalex.org/S4306402074","display_name":"RMIT Research Repository (RMIT University Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82951845","host_organization_name":"RMIT University","host_organization_lineage":["https://openalex.org/I82951845"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:figshare.com:article/27448188","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Study_of_periodic_solutions_in_discretized_two-dimensional_sliding-mode_control_systems/27448188","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/27448188","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Study_of_periodic_solutions_in_discretized_two-dimensional_sliding-mode_control_systems/27448188","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[{"score":0.5699999928474426,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1516289514","https://openalex.org/W2044385461","https://openalex.org/W2087236714","https://openalex.org/W2102987729","https://openalex.org/W2105558819","https://openalex.org/W2106099911","https://openalex.org/W2141665837","https://openalex.org/W2145407183"],"related_works":["https://openalex.org/W2091285247","https://openalex.org/W2098996002","https://openalex.org/W4231826102","https://openalex.org/W2904002356","https://openalex.org/W2050358043","https://openalex.org/W2085763563","https://openalex.org/W2122434027","https://openalex.org/W2590557730","https://openalex.org/W1963995324","https://openalex.org/W3011727870"],"abstract_inverted_index":{"The":[0],"existence":[1,19],"of":[2,20],"periodic":[3,21,34,50],"solutions":[4,22],"in":[5],"discretized":[6],"2-D":[7],"equivalent":[8],"control-based":[9],"sliding-mode":[10],"control":[11],"systems":[12],"is":[13,39],"studied.":[14],"Admissibility":[15],"conditions":[16],"for":[17,32,42,52],"the":[18],"with":[23,61],"specific":[24],"symbol":[25],"sequences":[26,35],"are":[27,36,59],"derived,":[28],"and":[29],"admissibility":[30],"regions":[31],"short":[33],"found.":[37],"It":[38],"shown":[40],"that,":[41],"certain":[43],"parameter":[44],"values,":[45],"there":[46],"exist":[47],"arbitrarily":[48,53],"long":[49],"orbits":[51],"small":[54],"discretization":[55],"steps.":[56],"Theoretical":[57],"results":[58],"illustrated":[60],"simulation":[62],"examples.":[63]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}