{"id":"https://openalex.org/W2012144987","doi":"https://doi.org/10.1109/tac.2010.2060244","title":"Supervisory Control of Uncertain Linear Time-Varying Systems","display_name":"Supervisory Control of Uncertain Linear Time-Varying Systems","publication_year":2010,"publication_date":"2010-07-26","ids":{"openalex":"https://openalex.org/W2012144987","doi":"https://doi.org/10.1109/tac.2010.2060244","mag":"2012144987"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2010.2060244","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2060244","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/A5056667849","display_name":"Linh Vu","orcid":"https://orcid.org/0000-0002-0952-4770"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Linh Vu","raw_affiliation_strings":["Nonlinear Dynamics and Control Laboratory, Department of Aeronautics and Astronautics, University of Washington, Seattle, WA, USA","Dept. of Aeronaut. & Astronaut., Univ. of Washington, Seattle, WA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nonlinear Dynamics and Control Laboratory, Department of Aeronautics and Astronautics, University of Washington, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]},{"raw_affiliation_string":"Dept. of Aeronaut. & Astronaut., Univ. of Washington, Seattle, WA, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086321981","display_name":"Daniel Liberzon","orcid":"https://orcid.org/0000-0003-2383-0114"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Liberzon","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Illinois, Urbana-Champaign, IL, USA","[Electr. & Comput. Eng. Dept., Univ. of Illinois, Urbana, IL, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"[Electr. & Comput. Eng. Dept., Univ. of Illinois, Urbana, IL, USA]","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":15.3129,"has_fulltext":false,"cited_by_count":90,"citation_normalized_percentile":{"value":0.98898451,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"56","issue":"1","first_page":"27","last_page":"42"},"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9987999796867371,"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":0.9962999820709229,"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":0.8614518642425537},{"id":"https://openalex.org/keywords/dwell-time","display_name":"Dwell time","score":0.807996392250061},{"id":"https://openalex.org/keywords/supervisory-control","display_name":"Supervisory control","score":0.678053617477417},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.616984486579895},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5145882368087769},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5076290369033813},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4950994551181793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46909770369529724},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.46464797854423523},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36292046308517456},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3021368980407715}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8614518642425537},{"id":"https://openalex.org/C151637689","wikidata":"https://www.wikidata.org/wiki/Q5318064","display_name":"Dwell time","level":2,"score":0.807996392250061},{"id":"https://openalex.org/C92991967","wikidata":"https://www.wikidata.org/wiki/Q7644329","display_name":"Supervisory control","level":3,"score":0.678053617477417},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.616984486579895},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5145882368087769},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5076290369033813},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4950994551181793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46909770369529724},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.46464797854423523},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36292046308517456},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3021368980407715},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C70410870","wikidata":"https://www.wikidata.org/wiki/Q199906","display_name":"Clinical psychology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2010.2060244","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2060244","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W55814457","https://openalex.org/W1552094772","https://openalex.org/W1900371862","https://openalex.org/W1978744994","https://openalex.org/W1982247144","https://openalex.org/W1996505464","https://openalex.org/W2063531681","https://openalex.org/W2067603665","https://openalex.org/W2068387247","https://openalex.org/W2070221123","https://openalex.org/W2079799076","https://openalex.org/W2081176294","https://openalex.org/W2083988988","https://openalex.org/W2088680241","https://openalex.org/W2098076205","https://openalex.org/W2098898086","https://openalex.org/W2103412387","https://openalex.org/W2104840798","https://openalex.org/W2108484001","https://openalex.org/W2121549671","https://openalex.org/W2122784898","https://openalex.org/W2129750659","https://openalex.org/W2133271196","https://openalex.org/W2138314551","https://openalex.org/W2139656224","https://openalex.org/W2142106021","https://openalex.org/W2151764975","https://openalex.org/W2154738486","https://openalex.org/W2164441628","https://openalex.org/W2171425041","https://openalex.org/W2181254320","https://openalex.org/W2485242274","https://openalex.org/W4230018075","https://openalex.org/W6682875358"],"related_works":["https://openalex.org/W2898247383","https://openalex.org/W1977953789","https://openalex.org/W633869025","https://openalex.org/W1552815313","https://openalex.org/W2007903413","https://openalex.org/W2118385007","https://openalex.org/W2966405498","https://openalex.org/W4321113928","https://openalex.org/W2612090866","https://openalex.org/W1533950195"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,14,23,40,60,76,91,98,120,135],"problem":[3],"of":[4,16,46,68,87,111,122,134],"adaptively":[5],"stabilizing":[6],"linear":[7,50,112,123],"plants":[8,51],"with":[9,115],"unknown":[10,117],"time-varying":[11,124],"parameters":[12,118],"in":[13,66,85,97],"presence":[15],"noise,":[17],"disturbances,":[18],"and":[19,32,72,78,82,90,132],"unmodeled":[20,92],"dynamics":[21,93],"using":[22],"supervisory":[24,56,109],"control":[25,110],"framework,":[26],"which":[27],"employs":[28],"multiple":[29],"candidate":[30],"controllers":[31],"an":[33],"estimator":[34],"based":[35],"switching":[36,71],"logic":[37],"to":[38,119],"select":[39],"active":[41],"controller":[42],"at":[43],"every":[44],"instant":[45],"time.":[47],"Time-varying":[48],"uncertain":[49,125],"can":[52],"be":[53],"stabilized":[54],"by":[55],"control,":[57],"provided":[58],"that":[59],"plant's":[61],"parameter":[62],"varies":[63],"slowly":[64],"enough":[65,84,96],"terms":[67,86],"mixed":[69],"dwell-time":[70,74],"average":[73],"switching,":[75],"noise":[77],"disturbances":[79],"are":[80,94,137],"bounded":[81],"small":[83,95],"L-infinity":[88],"norms,":[89],"input-to-state":[99],"stability":[100],"sense.":[101],"This":[102],"work":[103],"extends":[104],"previously":[105],"reported":[106],"works":[107],"on":[108],"time-invariant":[113],"systems":[114],"constant":[116],"case":[121],"systems.":[126],"A":[127],"numerical":[128],"example":[129],"is":[130],"included,":[131],"limitations":[133],"approach":[136],"discussed.":[138]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
