{"id":"https://openalex.org/W2099540151","doi":"https://doi.org/10.1109/cdc.2009.5400524","title":"Robust adaptive minimum-time control of Piecewise Affine systems","display_name":"Robust adaptive minimum-time control of Piecewise Affine systems","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2099540151","doi":"https://doi.org/10.1109/cdc.2009.5400524","mag":"2099540151"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400524","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400524","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese 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/A5081458703","display_name":"Michal Kvasnica","orcid":"https://orcid.org/0000-0001-8699-551X"},"institutions":[{"id":"https://openalex.org/I110757952","display_name":"Slovak University of Technology in Bratislava","ror":"https://ror.org/0561ghm58","country_code":"SK","type":"education","lineage":["https://openalex.org/I110757952"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Michal Kvasnica","raw_affiliation_strings":["Institute of Information Engineering Automation, and Mathematics, Slovak University of Technology, Slovakia","[Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Slovakia]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information Engineering Automation, and Mathematics, Slovak University of Technology, Slovakia","institution_ids":["https://openalex.org/I110757952"]},{"raw_affiliation_string":"[Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Slovakia]","institution_ids":["https://openalex.org/I110757952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087196338","display_name":"Martin Herceg","orcid":null},"institutions":[{"id":"https://openalex.org/I110757952","display_name":"Slovak University of Technology in Bratislava","ror":"https://ror.org/0561ghm58","country_code":"SK","type":"education","lineage":["https://openalex.org/I110757952"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Martin Herceg","raw_affiliation_strings":["Institute of Information Engineering Automation, and Mathematics, Slovak University of Technology, Slovakia","[Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Slovakia]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information Engineering Automation, and Mathematics, Slovak University of Technology, Slovakia","institution_ids":["https://openalex.org/I110757952"]},{"raw_affiliation_string":"[Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Slovakia]","institution_ids":["https://openalex.org/I110757952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006270489","display_name":"\u013dubo\u0161 \u010cirka","orcid":"https://orcid.org/0000-0001-9351-6855"},"institutions":[{"id":"https://openalex.org/I110757952","display_name":"Slovak University of Technology in Bratislava","ror":"https://ror.org/0561ghm58","country_code":"SK","type":"education","lineage":["https://openalex.org/I110757952"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Lubos Cirka","raw_affiliation_strings":["Institute of Information Engineering Automation, and Mathematics, Slovak University of Technology, Slovakia","[Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Slovakia]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information Engineering Automation, and Mathematics, Slovak University of Technology, Slovakia","institution_ids":["https://openalex.org/I110757952"]},{"raw_affiliation_string":"[Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Slovakia]","institution_ids":["https://openalex.org/I110757952"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059186848","display_name":"Miroslav Fikar","orcid":"https://orcid.org/0000-0003-0042-4607"},"institutions":[{"id":"https://openalex.org/I110757952","display_name":"Slovak University of Technology in Bratislava","ror":"https://ror.org/0561ghm58","country_code":"SK","type":"education","lineage":["https://openalex.org/I110757952"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Miroslav Fikar","raw_affiliation_strings":["Institute of Information Engineering Automation, and Mathematics, Slovak University of Technology, Slovakia","[Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Slovakia]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information Engineering Automation, and Mathematics, Slovak University of Technology, Slovakia","institution_ids":["https://openalex.org/I110757952"]},{"raw_affiliation_string":"[Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Slovakia]","institution_ids":["https://openalex.org/I110757952"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7701,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.7741559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"37","issue":null,"first_page":"2454","last_page":"2459"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":1.0,"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/T10791","display_name":"Advanced Control Systems Optimization","score":1.0,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9926999807357788,"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":0.9915000200271606,"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/parametric-statistics","display_name":"Parametric statistics","score":0.766921877861023},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6311421394348145},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.61566162109375},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5851166248321533},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.5265786051750183},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5141985416412354},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5056138038635254},{"id":"https://openalex.org/keywords/parametric-programming","display_name":"Parametric programming","score":0.4817497730255127},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4775156080722809},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.45998069643974304},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45094043016433716},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.44933295249938965},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4331088066101074},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.42752718925476074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.426765501499176},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.42100614309310913},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.305458128452301},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.29843825101852417},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2714445888996124},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12814834713935852},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07787883281707764}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.766921877861023},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6311421394348145},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.61566162109375},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5851166248321533},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.5265786051750183},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5141985416412354},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5056138038635254},{"id":"https://openalex.org/C2776045410","wikidata":"https://www.wikidata.org/wiki/Q25111241","display_name":"Parametric programming","level":3,"score":0.4817497730255127},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4775156080722809},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.45998069643974304},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45094043016433716},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.44933295249938965},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4331088066101074},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.42752718925476074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.426765501499176},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.42100614309310913},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.305458128452301},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.29843825101852417},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2714445888996124},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12814834713935852},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07787883281707764},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2009.5400524","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400524","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1511213320","https://openalex.org/W1576823098","https://openalex.org/W1582570374","https://openalex.org/W1586403407","https://openalex.org/W1592497244","https://openalex.org/W1797739565","https://openalex.org/W1932925324","https://openalex.org/W1977985274","https://openalex.org/W2023599497","https://openalex.org/W2043517194","https://openalex.org/W2066283793","https://openalex.org/W2072508748","https://openalex.org/W2085985420","https://openalex.org/W2127067432","https://openalex.org/W2147670844","https://openalex.org/W2147892900","https://openalex.org/W2150074282","https://openalex.org/W2152721252","https://openalex.org/W2182510773","https://openalex.org/W2536620281","https://openalex.org/W2784032495","https://openalex.org/W4206570602","https://openalex.org/W6634702224","https://openalex.org/W6661274576","https://openalex.org/W6682057110","https://openalex.org/W6989107990"],"related_works":["https://openalex.org/W1990079087","https://openalex.org/W3202234113","https://openalex.org/W2101188133","https://openalex.org/W4248731570","https://openalex.org/W2381210024","https://openalex.org/W2060165215","https://openalex.org/W2384015130","https://openalex.org/W4285595274","https://openalex.org/W4236213531","https://openalex.org/W2117193582"],"abstract_inverted_index":{"This":[0],"paper":[1],"illustrates":[2],"how":[3],"an":[4],"adaptive":[5],"model":[6],"predictive":[7],"controller":[8],"for":[9,95],"the":[10,25,28,43,66,88,100,115,129,132,136,139,142,148,156],"class":[11],"of":[12,42,92,99,121,131,138,141,155],"hybrid":[13,29],"systems":[14,62,157],"affected":[15],"by":[16],"parametric":[17,59,110],"uncertainties":[18],"can":[19,69],"be":[20,70],"synthesized.":[21],"Specifically,":[22],"we":[23,63],"investigate":[24],"case":[26],"where":[27,39],"system":[30,38,78],"is":[31,107],"modeled":[32],"as":[33,49],"a":[34,73,83,119,122,160],"Piecewise":[35],"Affine":[36],"(PWA)":[37],"certain":[40],"elements":[41],"PWA":[44,61],"state-update":[45],"matrices":[46],"are":[47,80,145],"expressed":[48],"symbolic":[50],"parameters":[51,133],"with":[52],"unknown,":[53],"but":[54],"bounded":[55],"values.":[56],"For":[57],"such":[58,75],"uncertain":[60],"show":[64],"that":[65,76,127],"control":[67,105,116,143],"law":[68,117],"constructed":[71],"in":[72,87,118],"way":[74],"all":[77,96],"states":[79,158],"pushed":[81],"towards":[82,159],"pre-defined":[84],"target":[85],"set":[86],"minimal":[89],"possible":[90,97],"number":[91],"time":[93,137],"steps":[94],"realizations":[98],"uncertainty.":[101],"The":[102],"robust":[103],"minimum-time":[104],"problem":[106],"solved":[108],"using":[109],"programming":[111],"techniques":[112],"which":[113],"leads":[114],"form":[120],"look-up":[123],"table.":[124],"We":[125],"illustrate":[126],"if":[128],"values":[130],"(unknown":[134],"at":[135],"synthesis":[140],"law)":[144],"measured":[146],"on-line,":[147],"resulting":[149],"feedback":[150],"policy":[151],"guarantees":[152],"time-optimal":[153],"convergence":[154],"chosen":[161],"terminal":[162],"set.":[163]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}