{"id":"https://openalex.org/W2586821191","doi":"https://doi.org/10.1109/tac.2017.2665123","title":"Hybrid Stabilization of Linear Systems With Reverse Polytopic Input Constraints","display_name":"Hybrid Stabilization of Linear Systems With Reverse Polytopic Input Constraints","publication_year":2017,"publication_date":"2017-02-07","ids":{"openalex":"https://openalex.org/W2586821191","doi":"https://doi.org/10.1109/tac.2017.2665123","mag":"2586821191"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2017.2665123","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2665123","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/A5074331286","display_name":"Pedro Casau","orcid":"https://orcid.org/0000-0002-4508-1452"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Pedro Casau","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Faculty of Science and Technology, Universidade de Lisboa, Lisbon, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Faculty of Science and Technology, Universidade de Lisboa, Lisbon, Portugal","institution_ids":["https://openalex.org/I141596103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028224738","display_name":"Ricardo G. Sanfelice","orcid":"https://orcid.org/0000-0002-6671-5362"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ricardo G. Sanfelice","raw_affiliation_strings":["Department of Computer Engineering, University of California, Santa Cruz, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, University of California, Santa Cruz, CA, USA","institution_ids":["https://openalex.org/I185103710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035107160","display_name":"Carlos Silvestre","orcid":"https://orcid.org/0000-0002-5096-5527"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Carlos Silvestre","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Faculty of Science and Technology, Universidade de Lisboa, Lisbon, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Faculty of Science and Technology, Universidade de Lisboa, Lisbon, Portugal","institution_ids":["https://openalex.org/I141596103"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7936,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.72170756,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"62","issue":"12","first_page":"6473","last_page":"6480"},"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9991000294685364,"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":0.9983000159263611,"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/control-theory","display_name":"Control theory (sociology)","score":0.7247080206871033},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.6024188995361328},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5656312704086304},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5546137094497681},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5258151292800903},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4968293011188507},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3955265283584595},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2823774218559265},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1286013126373291}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7247080206871033},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.6024188995361328},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5656312704086304},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5546137094497681},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5258151292800903},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4968293011188507},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3955265283584595},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2823774218559265},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1286013126373291},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tac.2017.2665123","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2017.2665123","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"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt2237h764","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/2237h764","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE TRANSACTIONS ON AUTOMATIC CONTROL, vol 62, iss 12","raw_type":"article"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt9k23r9p9","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/9k23r9p9","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:qt9k23r9p9","is_oa":false,"landing_page_url":"http://www.escholarship.org/uc/item/9k23r9p9","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Casau, P; Sanfelice, RG; &amp; Silvestre, C. (2017). Hybrid Stabilization of Linear Systems With Reverse Polytopic Input Constraints.. IEEE Trans. Automat. Contr., 62, 6473 - 6480. UC Santa Cruz: Retrieved from: http://www.escholarship.org/uc/item/9k23r9p9","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2138259280","display_name":null,"funder_award_id":"UID/EEA/50009/2013","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G2464323602","display_name":null,"funder_award_id":"FA9550-16-1-0015","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3762554873","display_name":null,"funder_award_id":"CNS-1544396","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5394714814","display_name":null,"funder_award_id":"ECS-1450484","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6614546034","display_name":null,"funder_award_id":"FDCT/048/2014/A1","funder_id":"https://openalex.org/F4320323893","funder_display_name":"Fundo para o Desenvolvimento das Ci\u00eancias e da Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320323893","display_name":"Fundo para o Desenvolvimento das Ci\u00eancias e da Tecnologia","ror":"https://ror.org/05vna4324"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1551360398","https://openalex.org/W1552094772","https://openalex.org/W1569239057","https://openalex.org/W1941749034","https://openalex.org/W1971044547","https://openalex.org/W1978956894","https://openalex.org/W1979098741","https://openalex.org/W1989230227","https://openalex.org/W1999724422","https://openalex.org/W2025875790","https://openalex.org/W2031806265","https://openalex.org/W2037420344","https://openalex.org/W2058765561","https://openalex.org/W2072508748","https://openalex.org/W2103986359","https://openalex.org/W2110349823","https://openalex.org/W2112562680","https://openalex.org/W2125902469","https://openalex.org/W2129927167","https://openalex.org/W2135904607","https://openalex.org/W2159000311","https://openalex.org/W2181173517","https://openalex.org/W3210839039","https://openalex.org/W4234092335","https://openalex.org/W6642962755","https://openalex.org/W6683092115"],"related_works":["https://openalex.org/W2126474951","https://openalex.org/W2120820506","https://openalex.org/W1518845096","https://openalex.org/W1998973221","https://openalex.org/W2100224615","https://openalex.org/W1505013685","https://openalex.org/W2159340243","https://openalex.org/W2133380851","https://openalex.org/W2360866871","https://openalex.org/W2035837850"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,14,30,40,53,70,73,88,102,128,133,146,149,154],"problem":[4],"of":[5,24,32,42,46,72,83,97,135,148,153],"globally":[6],"uniformly":[7],"exponentially":[8],"stabilizing":[9],"a":[10,21,43,62,81,95,136],"linear":[11,84,138],"system":[12,110,139,158],"to":[13,35,58,113,121,132,141],"origin":[15,54],"by":[16,39,79,93,161],"output":[17,103],"feedback":[18,90,104],"while":[19],"avoiding":[20],"prescribed":[22],"set":[23,31,82,96],"input":[25,33,65],"values.":[26],"We":[27,67],"consider":[28],"that":[29,49,69],"values":[34],"avoid":[36],"is":[37,111,159],"given":[38],"union":[41],"finite":[44],"number":[45],"closed":[47],"polytopes":[48],"do":[50],"not":[51],"contain":[52],"and":[55,92,119],"we":[56,126],"refer":[57],"this":[59],"restriction":[60],"as":[61],"reverse":[63,142],"polytopic":[64,143],"constraint.":[66],"show":[68],"synthesis":[71],"hybrid":[74,109,130,157],"controller":[75,131],"can":[76],"be":[77],"performed":[78],"solving":[80,94],"matrix":[85,99],"inequalities":[86,100],"for":[87,101,117],"full-state":[89],"case,":[91],"bilinear":[98],"case.":[105],"The":[106,151],"resulting":[107],"closed-loop":[108,156],"shown":[112],"satisfy":[114],"key":[115],"conditions":[116],"well-posedness":[118],"robustness":[120],"small":[122],"measurement":[123],"noise.":[124],"Furthermore,":[125],"apply":[127],"proposed":[129],"stabilization":[134],"single-input":[137],"subject":[140],"constraints":[144],"on":[145],"norm":[147],"input.":[150],"behavior":[152],"corresponding":[155],"validated":[160],"simulations.":[162]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
