{"id":"https://openalex.org/W1983471200","doi":"https://doi.org/10.1109/cdc.2011.6160917","title":"Asymptotic stability of piecewise affine systems with sampled-data piecewise linear controllers","display_name":"Asymptotic stability of piecewise affine systems with sampled-data piecewise linear controllers","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W1983471200","doi":"https://doi.org/10.1109/cdc.2011.6160917","mag":"1983471200"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6160917","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160917","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","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/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, QUE, Canada","Department of Electrical and Computer Engineering, Concordia University, 1515 St. Catherine W., Montreal, QC, H3G 2W1, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Concordia University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I60158472"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Concordia University, 1515 St. Catherine W., Montreal, QC, H3G 2W1, 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, QUE, Canada","Department of Electrical and Computer Engineering, Concordia University, 1515 St. Catherine W., Montreal, QC, H3G 2W1, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Concordia University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I60158472"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Concordia University, 1515 St. Catherine W., Montreal, QC, H3G 2W1, 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":3.86033287,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.93184922,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"6","issue":null,"first_page":"8315","last_page":"8320"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9943000078201294,"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":0.9937000274658203,"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/piecewise","display_name":"Piecewise","score":0.6950836181640625},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6932774782180786},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6668350100517273},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6424828767776489},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5754372477531433},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5454583168029785},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.4750247597694397},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34206268191337585},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.22776257991790771},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12722092866897583},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06953206658363342}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6950836181640625},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6932774782180786},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6668350100517273},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6424828767776489},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5754372477531433},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5454583168029785},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.4750247597694397},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34206268191337585},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.22776257991790771},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12722092866897583},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06953206658363342},{"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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":1,"locations":[{"id":"doi:10.1109/cdc.2011.6160917","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160917","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1511275238","https://openalex.org/W1592863557","https://openalex.org/W1607633954","https://openalex.org/W1855336155","https://openalex.org/W1978929829","https://openalex.org/W2050098163","https://openalex.org/W2072488755","https://openalex.org/W2083042975","https://openalex.org/W2119622764","https://openalex.org/W2120505609","https://openalex.org/W2125878015","https://openalex.org/W2129492921","https://openalex.org/W2131389047","https://openalex.org/W2138062125","https://openalex.org/W2150414173","https://openalex.org/W2170693876","https://openalex.org/W4211202937","https://openalex.org/W6680665467"],"related_works":["https://openalex.org/W2385263368","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W3208509670","https://openalex.org/W2080426547","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W2083709218"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"stability":[3,81,112],"analysis":[4],"of":[5,49,82,100,122],"closed-loop":[6],"sampled-data":[7,28,36,88],"piecewise":[8,29],"affine":[9],"(PWA)":[10],"systems.":[11],"In":[12],"particular,":[13],"we":[14,55,96],"study":[15],"the":[16,35,72,93,98,106,114],"case":[17],"in":[18,24,85,120],"which":[19],"a":[20,27,39,43,57,102,131],"PWA":[21,64,83],"plant":[22],"is":[23],"feedback":[25,86],"with":[26,42,66,87],"linear":[30],"(PWL)":[31],"controller.":[32],"We":[33],"consider":[34],"system":[37,41],"as":[38,116],"continuous-time":[40],"variable":[44],"time":[45,67],"delay.":[46,68],"The":[47,124],"contributions":[48],"this":[50],"work":[51],"are":[52,77,127],"threefold.":[53],"First,":[54],"present":[56],"modified":[58],"Lyapunov-Krasovskii":[59],"functional":[60],"(LKF)":[61],"for":[62,79],"studying":[63],"systems":[65,84],"Second,":[69],"based":[70],"on":[71,105],"new":[73,125],"LKF,":[74],"sufficient":[75],"conditions":[76],"provided":[78],"asymptotic":[80,111],"PWL":[89],"controllers.":[90],"Finally,":[91],"following":[92],"time-delay":[94],"approach,":[95],"formulate":[97],"problem":[99],"finding":[101],"lower":[103],"bound":[104],"maximum":[107],"delay":[108],"that":[109],"preserves":[110],"to":[113,130],"origin":[115],"an":[117],"optimization":[118],"program":[119],"terms":[121],"LMIs.":[123],"results":[126],"successfully":[128],"applied":[129],"unicycle":[132],"example.":[133]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
