{"id":"https://openalex.org/W2057236938","doi":"https://doi.org/10.1109/cdc.2013.6760905","title":"Polygonic representation of Explicit Model Predictive Control","display_name":"Polygonic representation of Explicit Model Predictive Control","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2057236938","doi":"https://doi.org/10.1109/cdc.2013.6760905","mag":"2057236938"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760905","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760905","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","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/A5103028046","display_name":"Juraj Oravec","orcid":"https://orcid.org/0000-0002-1253-3192"},"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":true,"raw_author_name":"Juraj Oravec","raw_affiliation_strings":["Slovak University of Technology in Bratislava, Slovakia","Slovak university of technology in Bratislava, Bratislava, Slovakia"],"affiliations":[{"raw_affiliation_string":"Slovak University of Technology in Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]},{"raw_affiliation_string":"Slovak university of technology in Bratislava, Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079231798","display_name":"S. Blazek","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":"Slavomir Blazek","raw_affiliation_strings":["Slovak University of Technology in Bratislava, Slovakia","Slovak university of technology in Bratislava, Bratislava, Slovakia"],"affiliations":[{"raw_affiliation_string":"Slovak University of Technology in Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]},{"raw_affiliation_string":"Slovak university of technology in Bratislava, Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]}]},{"author_position":"middle","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":["Slovak University of Technology in Bratislava, Slovakia","Slovak university of technology in Bratislava, Bratislava, Slovakia"],"affiliations":[{"raw_affiliation_string":"Slovak University of Technology in Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]},{"raw_affiliation_string":"Slovak university of technology in Bratislava, Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004144091","display_name":"Stefano Di Cairano","orcid":"https://orcid.org/0000-0002-2363-2807"},"institutions":[{"id":"https://openalex.org/I1306287861","display_name":"Mitsubishi Group (Japan)","ror":"https://ror.org/0234cd281","country_code":"JP","type":"company","lineage":["https://openalex.org/I1306287861"]},{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]}],"countries":["JP","US"],"is_corresponding":false,"raw_author_name":"Stefano Di Cairano","raw_affiliation_strings":["Mitsubishi Electric Research Laboratories, Cambridge, MA","Mitsubishi Electr. Res. Laboratories, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Research Laboratories, Cambridge, MA","institution_ids":["https://openalex.org/I4210159266"]},{"raw_affiliation_string":"Mitsubishi Electr. Res. Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I1306287861"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103028046"],"corresponding_institution_ids":["https://openalex.org/I110757952"],"apc_list":null,"apc_paid":null,"fwci":0.5091,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73034319,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"6422","last_page":"6427"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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/T10791","display_name":"Advanced Control Systems Optimization","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/T11749","display_name":"Iterative Learning Control Systems","score":0.986299991607666,"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":0.9714999794960022,"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/memory-footprint","display_name":"Memory footprint","score":0.8343865871429443},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.7375103831291199},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.7195832133293152},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6110839247703552},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6070379614830017},{"id":"https://openalex.org/keywords/convex-polygon","display_name":"Convex polygon","score":0.5937590599060059},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5660058856010437},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5449496507644653},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.5199314951896667},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.5062322020530701},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5061563849449158},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.48402947187423706},{"id":"https://openalex.org/keywords/footprint","display_name":"Footprint","score":0.4625311493873596},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4334123134613037},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.42665889859199524},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34542176127433777},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.31334322690963745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27843379974365234},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23493075370788574},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.13945794105529785}],"concepts":[{"id":"https://openalex.org/C74912251","wikidata":"https://www.wikidata.org/wiki/Q6815727","display_name":"Memory footprint","level":2,"score":0.8343865871429443},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.7375103831291199},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.7195832133293152},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6110839247703552},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6070379614830017},{"id":"https://openalex.org/C2780034980","wikidata":"https://www.wikidata.org/wiki/Q3259505","display_name":"Convex polygon","level":3,"score":0.5937590599060059},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5660058856010437},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5449496507644653},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.5199314951896667},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.5062322020530701},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5061563849449158},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.48402947187423706},{"id":"https://openalex.org/C132943942","wikidata":"https://www.wikidata.org/wiki/Q2562511","display_name":"Footprint","level":2,"score":0.4625311493873596},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4334123134613037},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.42665889859199524},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34542176127433777},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.31334322690963745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27843379974365234},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23493075370788574},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.13945794105529785},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2013.6760905","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760905","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.407.6288","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.407.6288","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.merl.com/publications/docs/TR2013-102.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.8100000023841858,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1511213320","https://openalex.org/W1576823098","https://openalex.org/W1967073510","https://openalex.org/W1984740071","https://openalex.org/W1993170675","https://openalex.org/W2052183604","https://openalex.org/W2056684810","https://openalex.org/W2115922137","https://openalex.org/W2536620281","https://openalex.org/W3210839039","https://openalex.org/W6728664312"],"related_works":["https://openalex.org/W2314484939","https://openalex.org/W4240339429","https://openalex.org/W2154141401","https://openalex.org/W338234595","https://openalex.org/W2123516473","https://openalex.org/W1819380083","https://openalex.org/W1963624385","https://openalex.org/W1963890352","https://openalex.org/W2057236938","https://openalex.org/W2056884694"],"abstract_inverted_index":{"The":[0],"paper":[1],"proposes":[2],"to":[3,55,74,84,92,99,110],"reduce":[4,85],"complexity":[5],"of":[6,38,46,81,102,118],"explicit":[7],"MPC":[8],"feedback":[9,40],"laws":[10],"by":[11,30,63],"representing":[12],"regions":[13],"over":[14],"which":[15,33],"the":[16,35,39,53,86,103,119],"law":[17],"is":[18,26,58,122],"defined":[19],"as":[20],"(possibly":[21],"non-convex)":[22],"polygons.":[23],"Each":[24],"polygon":[25],"then":[27],"represented":[28],"only":[29],"its":[31],"boundaries,":[32],"reduces":[34],"memory":[36,47],"footprint":[37],"law.":[41],"Even":[42],"though":[43],"significant":[44],"amount":[45],"can":[48],"be":[49,56],"saved":[50],"this":[51],"way,":[52],"price":[54],"paid":[57],"increased":[59],"computational":[60,87,106],"load":[61],"associated":[62],"performing":[64],"point":[65,94],"location":[66,95],"tasks":[67],"in":[68],"non-convex":[69,82],"objects.":[70],"Therefore":[71],"we":[72],"propose":[73],"devise":[75],"inner":[76],"and":[77,116],"outer":[78],"convex":[79],"approximations":[80,90,113],"polygons":[83],"requirements.":[88],"Such":[89],"allow":[91],"perform":[93],"more":[96],"effectively,":[97],"leading":[98],"a":[100],"reduction":[101],"required":[104],"on-line":[105],"effort.":[107],"Several":[108],"ways":[109],"design":[111],"suitable":[112],"are":[114],"presented":[115],"efficacy":[117],"proposed":[120],"procedure":[121],"evaluated.":[123]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}