{"id":"https://openalex.org/W2066080589","doi":"https://doi.org/10.1109/tac.2014.2342051","title":"Sampled-Data Piecewise Affine Differential Inclusions","display_name":"Sampled-Data Piecewise Affine Differential Inclusions","publication_year":2014,"publication_date":"2014-07-23","ids":{"openalex":"https://openalex.org/W2066080589","doi":"https://doi.org/10.1109/tac.2014.2342051","mag":"2066080589"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2342051","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2342051","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/A5045861613","display_name":"Miad Moarref","orcid":null},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Miad Moarref","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Concordia University, Montreal, QC, Canada","Dept. of Electr. & Comput. Eng., Concordia Univ., Montre\u0301al, QC, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Concordia University, Montreal, QC, Canada","institution_ids":["https://openalex.org/I60158472"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Concordia Univ., Montre\u0301al, QC, Canada","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032612210","display_name":"Lu\u00eds Rodrigues","orcid":"https://orcid.org/0000-0002-1389-6606"},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Luis Rodrigues","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Concordia University, Montreal, QC, Canada","Dept. of Electr. & Comput. Eng., Concordia Univ., Montre\u0301al, QC, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Concordia University, Montreal, QC, Canada","institution_ids":["https://openalex.org/I60158472"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Concordia Univ., Montre\u0301al, QC, Canada","institution_ids":["https://openalex.org/I60158472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045861613"],"corresponding_institution_ids":["https://openalex.org/I60158472"],"apc_list":null,"apc_paid":null,"fwci":0.4058,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.69633824,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"60","issue":"3","first_page":"850","last_page":"856"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998999834060669,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998999834060669,"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/T11236","display_name":"Control Systems and Identification","score":0.9979000091552734,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8010454773902893},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7595524787902832},{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.6543578505516052},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6425220966339111},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5795586705207825},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5782691240310669},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5645653009414673},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.492917537689209},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.46180859208106995},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41271042823791504},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.28087615966796875},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2238858938217163},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12743550539016724},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1159353256225586},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06135493516921997}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8010454773902893},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7595524787902832},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.6543578505516052},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6425220966339111},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5795586705207825},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5782691240310669},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5645653009414673},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.492917537689209},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46180859208106995},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41271042823791504},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28087615966796875},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2238858938217163},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12743550539016724},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1159353256225586},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06135493516921997},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2014.2342051","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2342051","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":[{"score":0.6899999976158142,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1493070044","https://openalex.org/W1551360398","https://openalex.org/W1967073510","https://openalex.org/W2055859268","https://openalex.org/W2063781217","https://openalex.org/W2068483374","https://openalex.org/W2077065656","https://openalex.org/W2083042975","https://openalex.org/W2085582194","https://openalex.org/W2106643602","https://openalex.org/W2125878015","https://openalex.org/W2131389047","https://openalex.org/W2143061194","https://openalex.org/W2150414173","https://openalex.org/W2170693876","https://openalex.org/W2598031246","https://openalex.org/W6629595848"],"related_works":["https://openalex.org/W2152564765","https://openalex.org/W2052660238","https://openalex.org/W2090389138","https://openalex.org/W2020719402","https://openalex.org/W2606062883","https://openalex.org/W4249020370","https://openalex.org/W1557320772","https://openalex.org/W4288351327","https://openalex.org/W2889254641","https://openalex.org/W2080426547"],"abstract_inverted_index":{"This":[0],"paper":[1,24],"addresses":[2],"exponential":[3,34],"stability":[4,35,63],"and":[5,55],"stabilization":[6],"of":[7,22,36,85,98],"sampled-data":[8,38,76],"piecewise":[9,44,53,60],"affine":[10],"differential":[11],"inclusions":[12],"(PWADI)":[13],"with":[14,87],"an":[15],"unknown":[16],"nonuniform":[17],"sampling":[18,91],"rate.":[19],"The":[20,96],"contributions":[21],"this":[23],"are":[25,40,65,81],"threefold.":[26],"First,":[27],"given":[28],"a":[29,43,94,104,111],"controller,":[30],"sufficient":[31,73],"conditions":[32,64,74],"for":[33,75,79],"closed-loop":[37],"PWADI":[39,80,105],"presented":[41],"using":[42],"smooth":[45],"Krasovskii":[46,57],"functional.":[47],"Second,":[48],"assuming":[49],"the":[50,56,62,88,99],"controller":[51,77],"is":[52,59,101,108],"linear":[54,68],"functional":[58],"quadratic,":[61],"cast":[66],"as":[67,93],"matrix":[69],"inequalities":[70],"(LMIs).":[71],"Third,":[72],"synthesis":[78],"formulated":[82],"in":[83],"terms":[84],"LMIs,":[86],"maximum":[89],"allowable":[90],"period":[92],"parameter.":[95],"effectiveness":[97],"approach":[100],"shown":[102],"via":[103],"example":[106],"that":[107],"motivated":[109],"by":[110],"nonlinear":[112],"system.":[113]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}