{"id":"https://openalex.org/W1600707516","doi":"https://doi.org/10.1109/cdc.2003.1272350","title":"Robust stability analysis and control synthesis for discrete-time uncertain switched systems","display_name":"Robust stability analysis and control synthesis for discrete-time uncertain switched systems","publication_year":2004,"publication_date":"2004-06-03","ids":{"openalex":"https://openalex.org/W1600707516","doi":"https://doi.org/10.1109/cdc.2003.1272350","mag":"1600707516"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2003.1272350","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1272350","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100651224","display_name":"Dongmei Xie","orcid":null},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongmei Xie","raw_affiliation_strings":["Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China","[Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"[Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China]","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100447536","display_name":"Long Wang","orcid":"https://orcid.org/0000-0001-5600-8157"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Long Wang","raw_affiliation_strings":["Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China","[Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"[Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China]","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019435679","display_name":"Fei Hao","orcid":"https://orcid.org/0000-0003-4942-0893"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fei Hao","raw_affiliation_strings":["Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China","[Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"[Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China]","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044920558","display_name":"Guangming Xie","orcid":"https://orcid.org/0000-0001-6504-0087"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guangming Xie","raw_affiliation_strings":["Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China","[Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"[Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China]","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I20231570"],"apc_list":null,"apc_paid":null,"fwci":10.2615,"has_fulltext":false,"cited_by_count":73,"citation_normalized_percentile":{"value":0.99095387,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"19","issue":null,"first_page":"4812","last_page":"4817"},"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":0.9865999817848206,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9765999913215637,"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":0.7273558974266052},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.6726188063621521},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6188775897026062},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6183891296386719},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5039874911308289},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.49625545740127563},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.46125566959381104},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4584782123565674},{"id":"https://openalex.org/keywords/output-feedback","display_name":"Output feedback","score":0.4551655054092407},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4218125343322754},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.4195792078971863},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2810331881046295},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.24304470419883728},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.22914853692054749},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2066858410835266},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1018134355545044},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0776369571685791},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.07655808329582214},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06635594367980957}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7273558974266052},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.6726188063621521},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6188775897026062},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6183891296386719},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5039874911308289},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.49625545740127563},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.46125566959381104},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4584782123565674},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.4551655054092407},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4218125343322754},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.4195792078971863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2810331881046295},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.24304470419883728},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.22914853692054749},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2066858410835266},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1018134355545044},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0776369571685791},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.07655808329582214},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06635594367980957},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/cdc.2003.1272350","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1272350","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W188866077","https://openalex.org/W1628230797","https://openalex.org/W1900371862","https://openalex.org/W1974379703","https://openalex.org/W1995063858","https://openalex.org/W1995875215","https://openalex.org/W1996952488","https://openalex.org/W2004829965","https://openalex.org/W2010886952","https://openalex.org/W2013925066","https://openalex.org/W2034539682","https://openalex.org/W2097124689","https://openalex.org/W2098916117","https://openalex.org/W2104306292","https://openalex.org/W2116680678","https://openalex.org/W2118741873","https://openalex.org/W2119811431","https://openalex.org/W2130519480","https://openalex.org/W2139384666","https://openalex.org/W2158681729","https://openalex.org/W2497533977","https://openalex.org/W2607614170","https://openalex.org/W3210839039","https://openalex.org/W6639670352","https://openalex.org/W6649631573"],"related_works":["https://openalex.org/W2364185937","https://openalex.org/W2121801708","https://openalex.org/W1990502710","https://openalex.org/W2367378039","https://openalex.org/W2159479095","https://openalex.org/W2142189599","https://openalex.org/W2131905798","https://openalex.org/W2031688084","https://openalex.org/W2291706033","https://openalex.org/W2378126235"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,33,36,87,92,102,117],"robust":[4],"stability":[5],"analysis":[6],"and":[7,43,96],"control":[8],"synthesis":[9],"of":[10,38,89],"discrete-time":[11],"switched":[12,28,40,73,80,118],"systems":[13],"with":[14,27],"norm-bounded":[15],"uncertainty":[16],"under":[17],"arbitrary":[18],"switching":[19],"by":[20],"linear":[21],"matrix":[22,46,52],"inequality":[23,53],"(LMI)":[24],"approach":[25],"together":[26],"Lyapunov":[29,41],"function":[30,42],"method.":[31],"First,":[32],"equivalence":[34],"between":[35],"existence":[37],"a":[39],"two":[44,51,63],"different":[45],"inequalities":[47],"is":[48],"established.":[49],"These":[50],"conditions":[54,69,93,103],"can":[55],"be":[56,60],"further":[57],"proven":[58],"to":[59,62,115],"equivalent":[61],"LMI-based":[64,68],"conditions.":[65],"Then,":[66],"some":[67],"for":[70,99],"stabilization":[71],"via":[72],"static":[74,81],"state":[75,90],"feedback":[76,83],"as":[77,79,107],"well":[78],"output":[82,100],"are":[84,94,104],"presented.":[85],"In":[86],"case":[88],"feedback,":[91,101],"necessary":[95],"sufficient,":[97],"whereas":[98],"only":[105],"sufficient":[106],"they":[108],"depend":[109],"on":[110],"particular":[111],"state-space":[112],"representation":[113],"used":[114],"describe":[116],"systems.":[119]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}