{"id":"https://openalex.org/W2158483324","doi":"https://doi.org/10.1109/ecc.2015.7330921","title":"Safety verification of implicitly defined MPC feedback laws","display_name":"Safety verification of implicitly defined MPC feedback laws","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W2158483324","doi":"https://doi.org/10.1109/ecc.2015.7330921","mag":"2158483324"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2015.7330921","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7330921","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Control Conference (ECC)","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/A5021328093","display_name":"Juraj Holaza","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":true,"raw_author_name":"Juraj Holaza","raw_affiliation_strings":["Slovak University of Technology in Bratislava, Slovakia"],"affiliations":[{"raw_affiliation_string":"Slovak University of Technology in Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026352700","display_name":"B\u00e1lint Tak\u00e1cs","orcid":"https://orcid.org/0000-0002-7392-7099"},"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":"Balint Takacs","raw_affiliation_strings":["Slovak University of Technology in Bratislava, Slovakia"],"affiliations":[{"raw_affiliation_string":"Slovak University of Technology in 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"],"affiliations":[{"raw_affiliation_string":"Slovak University of Technology in 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/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":["US"],"is_corresponding":false,"raw_author_name":"Stefano Di Cairano","raw_affiliation_strings":["Mitsubishi Electric Research Laboratories, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210159266"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5021328093"],"corresponding_institution_ids":["https://openalex.org/I110757952"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.09227371,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1790","issue":null,"first_page":"2547","last_page":"2552"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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/T10791","display_name":"Advanced Control Systems Optimization","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/T10876","display_name":"Fault Detection and Control Systems","score":0.9897000193595886,"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/T10142","display_name":"Formal Methods in Verification","score":0.9718999862670898,"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/certificate","display_name":"Certificate","score":0.7167094945907593},{"id":"https://openalex.org/keywords/model-predictive-control","display_name":"Model predictive control","score":0.6475903987884521},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5800614356994629},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.579617440700531},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5783519148826599},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5685678720474243},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5374003648757935},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.532801628112793},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.519711971282959},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.49330249428749084},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4547041356563568},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.3311691880226135},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3184301257133484},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1724180281162262}],"concepts":[{"id":"https://openalex.org/C96865113","wikidata":"https://www.wikidata.org/wiki/Q2946816","display_name":"Certificate","level":2,"score":0.7167094945907593},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.6475903987884521},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5800614356994629},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.579617440700531},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5783519148826599},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5685678720474243},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5374003648757935},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.532801628112793},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.519711971282959},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.49330249428749084},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4547041356563568},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.3311691880226135},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3184301257133484},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1724180281162262},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ecc.2015.7330921","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7330921","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"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":19,"referenced_works":["https://openalex.org/W1540897666","https://openalex.org/W1561941139","https://openalex.org/W1576823098","https://openalex.org/W1585526574","https://openalex.org/W1590514385","https://openalex.org/W1607353007","https://openalex.org/W1972149633","https://openalex.org/W1978956894","https://openalex.org/W1993170675","https://openalex.org/W1996286784","https://openalex.org/W2110316735","https://openalex.org/W2145201569","https://openalex.org/W2165581735","https://openalex.org/W2178324482","https://openalex.org/W2296319761","https://openalex.org/W2536620281","https://openalex.org/W4211083078","https://openalex.org/W4250589301","https://openalex.org/W6643032878"],"related_works":["https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2109912052","https://openalex.org/W1711527768","https://openalex.org/W4285278887","https://openalex.org/W2365237642","https://openalex.org/W2995925505","https://openalex.org/W2773399470","https://openalex.org/W3116484972","https://openalex.org/W2941986668"],"abstract_inverted_index":{"For":[0],"a":[1,6,28,43],"closed-loop":[2,21],"system":[3],"composed":[4],"of":[5,31],"linear":[7,45],"controlled":[8],"plant":[9],"and":[10],"an":[11],"MPC":[12,59],"feedback":[13],"strategy":[14],"we":[15],"show":[16],"how":[17],"to":[18,69,76],"verify":[19],"that":[20],"state":[22],"trajectories":[23],"either":[24],"enter":[25],"or":[26],"avoid":[27],"given":[29],"set":[30],"unsafe":[32],"states.":[33],"The":[34,52],"search":[35],"for":[36],"the":[37,58,71,74],"safety":[38],"certificate":[39],"is":[40],"formulated":[41],"as":[42],"mixed-integer":[44],"programming":[46],"problem":[47],"which":[48,67],"yields":[49],"non-conservative":[50],"certificates.":[51],"optimal":[53],"control":[54],"commands":[55],"generated":[56],"by":[57,63],"policy":[60],"are":[61],"represented":[62],"Karush-Kuhn-Tucker":[64],"optimality":[65],"conditions,":[66],"allow":[68],"perform":[70],"verification":[72],"without":[73],"need":[75],"explicitly":[77],"compute":[78],"reachable":[79],"sets.":[80]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
