{"id":"https://openalex.org/W2101893420","doi":"https://doi.org/10.1109/cdc.2005.1582504","title":"On the Minimal Robust Positively Invariant Set for Linear Difference Inclusions","display_name":"On the Minimal Robust Positively Invariant Set for Linear Difference Inclusions","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2101893420","doi":"https://doi.org/10.1109/cdc.2005.1582504","mag":"2101893420"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1582504","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582504","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th 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/A5110038346","display_name":"K. Kouramas","orcid":null},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"K.I. Kouramas","raw_affiliation_strings":["Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002679142","display_name":"Sa\u0161a V. Rakovi\u0107","orcid":"https://orcid.org/0000-0002-5402-0483"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"S.V. Rakovic","raw_affiliation_strings":["Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073800864","display_name":"Eric C. Kerrigan","orcid":"https://orcid.org/0000-0002-3967-1544"},"institutions":[{"id":"https://openalex.org/I90731587","display_name":"Royal Academy of Engineering","ror":"https://ror.org/0526snb40","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I90731587"]},{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"E.C. Kerrigan","raw_affiliation_strings":["Royal Academy of Engineering Research Fellow is with the Department of Engineering, University of Cambridge, Cambridge, UK"],"affiliations":[{"raw_affiliation_string":"Royal Academy of Engineering Research Fellow is with the Department of Engineering, University of Cambridge, Cambridge, UK","institution_ids":["https://openalex.org/I90731587","https://openalex.org/I241749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084554226","display_name":"J.C. Allwright","orcid":null},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"J.C. Allwright","raw_affiliation_strings":["Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111368171","display_name":"D.Q. Mayne","orcid":null},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"D.Q. Mayne","raw_affiliation_strings":["Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5110038346"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":3.6699,"has_fulltext":false,"cited_by_count":85,"citation_normalized_percentile":{"value":0.92772271,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"2296","last_page":"2301"},"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9997000098228455,"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":0.9984999895095825,"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/invariant","display_name":"Invariant (physics)","score":0.6903313994407654},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.6376706957817078},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6222018003463745},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6149760484695435},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.610416054725647},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5672004818916321},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.48443201184272766},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.4305366277694702},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3910118639469147},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28890830278396606},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2436995506286621},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.23027509450912476},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1898491382598877},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14075276255607605},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09456461668014526},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06809163093566895}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6903313994407654},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.6376706957817078},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6222018003463745},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6149760484695435},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.610416054725647},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5672004818916321},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.48443201184272766},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.4305366277694702},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3910118639469147},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28890830278396606},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2436995506286621},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.23027509450912476},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1898491382598877},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14075276255607605},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09456461668014526},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06809163093566895},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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":2,"locations":[{"id":"doi:10.1109/cdc.2005.1582504","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582504","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.228.170","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.228.170","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-control.eng.cam.ac.uk/Homepage//papers/cued_control_942.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.7900000214576721,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W151410942","https://openalex.org/W650971453","https://openalex.org/W1481515329","https://openalex.org/W1519840209","https://openalex.org/W1571966798","https://openalex.org/W1608758704","https://openalex.org/W1678380195","https://openalex.org/W1968569476","https://openalex.org/W1972764709","https://openalex.org/W1981723834","https://openalex.org/W2001428612","https://openalex.org/W2006557476","https://openalex.org/W2018029174","https://openalex.org/W2050821827","https://openalex.org/W2076566814","https://openalex.org/W2084166574","https://openalex.org/W2095233962","https://openalex.org/W2097544427","https://openalex.org/W2101138302","https://openalex.org/W2119974577","https://openalex.org/W2124185518","https://openalex.org/W2127067432","https://openalex.org/W2146844406","https://openalex.org/W2150074282","https://openalex.org/W2152721252","https://openalex.org/W2171505650","https://openalex.org/W2174998149","https://openalex.org/W2513432821","https://openalex.org/W2612952478","https://openalex.org/W3210839039","https://openalex.org/W6606088829","https://openalex.org/W6621526773","https://openalex.org/W6637240367","https://openalex.org/W6737924044"],"related_works":["https://openalex.org/W1980376593","https://openalex.org/W2053005959","https://openalex.org/W2299538996","https://openalex.org/W2027136373","https://openalex.org/W2144143333","https://openalex.org/W4386631510","https://openalex.org/W2276636510","https://openalex.org/W2105658174","https://openalex.org/W3163145068","https://openalex.org/W1990421243"],"abstract_inverted_index":{"This":[0],"paper":[1],"provides":[2],"a":[3,68],"new":[4],"and":[5],"efficient":[6],"method":[7],"for":[8,29,58],"the":[9,22,37,47,56],"computation":[10],"of":[11,49],"an":[12,50],"arbitrarily":[13],"close":[14],"outer":[15],"robust":[16,24],"positively":[17,25],"invariant":[18,26],"(RPI)":[19],"approximation":[20],"to":[21],"minimal":[23],"(mRPI)":[27],"set":[28],"linear":[30,38,63,70],"difference":[31,39],"inclusions.":[32],"It":[33],"is":[34,41,55],"assumed":[35],"that":[36],"inclusion":[40],"absolutely":[42],"asymptotically":[43],"stable":[44],"(AAS)":[45],"in":[46],"absence":[48],"additive":[51],"state":[52,71],"disturbance,":[53],"which":[54],"case":[57],"parametrically":[59],"uncertain":[60],"or":[61],"switching":[62],"discrete-time":[64],"systems":[65],"controlled":[66],"by":[67],"stabilizing":[69],"feedback":[72],"controller.":[73]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
