{"id":"https://openalex.org/W1543772342","doi":"https://doi.org/10.23919/ecc.2009.7074907","title":"On new sufficient conditions for stability of switched linear systems","display_name":"On new sufficient conditions for stability of switched linear systems","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W1543772342","doi":"https://doi.org/10.23919/ecc.2009.7074907","mag":"1543772342"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2009.7074907","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7074907","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 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/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"]},{"id":"https://openalex.org/I16820183","display_name":"Illinois College","ror":"https://ror.org/02ys5x139","country_code":"US","type":"education","lineage":["https://openalex.org/I16820183"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daniel Liberzon","raw_affiliation_strings":["University of Illinois College of Law, Champaign, IL, US","Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 61821, U.S.A"],"affiliations":[{"raw_affiliation_string":"University of Illinois College of Law, Champaign, IL, US","institution_ids":["https://openalex.org/I157725225","https://openalex.org/I16820183"]},{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 61821, U.S.A","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086321981"],"corresponding_institution_ids":["https://openalex.org/I157725225","https://openalex.org/I16820183"],"apc_list":null,"apc_paid":null,"fwci":9.228,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.97422148,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"3257","last_page":"3262"},"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9947999715805054,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9901000261306763,"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/commutation","display_name":"Commutation","score":0.841201901435852},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.700309693813324},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6393033862113953},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5971296429634094},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5567107200622559},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5431373119354248},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48675012588500977},{"id":"https://openalex.org/keywords/stability-conditions","display_name":"Stability conditions","score":0.45312926173210144},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.44202932715415955},{"id":"https://openalex.org/keywords/matrix-algebra","display_name":"Matrix algebra","score":0.437654048204422},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.43111446499824524},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.41156211495399475},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3898863196372986},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15859052538871765},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.13569724559783936},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1206572949886322},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08465078473091125},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.08373957872390747},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07147103548049927},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06974244117736816},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06966352462768555},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06495624780654907}],"concepts":[{"id":"https://openalex.org/C2780147050","wikidata":"https://www.wikidata.org/wiki/Q5155085","display_name":"Commutation","level":3,"score":0.841201901435852},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.700309693813324},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6393033862113953},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5971296429634094},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5567107200622559},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5431373119354248},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48675012588500977},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.45312926173210144},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.44202932715415955},{"id":"https://openalex.org/C2988995629","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix algebra","level":3,"score":0.437654048204422},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.43111446499824524},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.41156211495399475},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3898863196372986},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15859052538871765},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.13569724559783936},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1206572949886322},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08465078473091125},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.08373957872390747},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07147103548049927},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06974244117736816},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06966352462768555},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06495624780654907},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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":2,"locations":[{"id":"doi:10.23919/ecc.2009.7074907","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7074907","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.219.6758","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.219.6758","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://black1.csl.uiuc.edu/~liberzon/research/ecc09.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1552094772","https://openalex.org/W1900371862","https://openalex.org/W1995454290","https://openalex.org/W2076566814","https://openalex.org/W2084970142","https://openalex.org/W2098898086","https://openalex.org/W2143181390","https://openalex.org/W2145511008","https://openalex.org/W2153996291","https://openalex.org/W2168808496"],"related_works":["https://openalex.org/W2087232412","https://openalex.org/W2375855564","https://openalex.org/W2168175536","https://openalex.org/W2377990210","https://openalex.org/W4387250326","https://openalex.org/W2318386199","https://openalex.org/W4381679593","https://openalex.org/W4301446677","https://openalex.org/W2899176074","https://openalex.org/W2089569739"],"abstract_inverted_index":{"This":[0],"work":[1],"aims":[2],"to":[3,8,63,75,94],"connect":[4],"two":[5],"existing":[6],"approaches":[7],"stability":[9,15,25,36],"analysis":[10],"of":[11,27,42,54,66,87],"switched":[12],"linear":[13],"systems:":[14],"conditions":[16,26,34,71],"based":[17],"on":[18,84],"commutation":[19,43],"relations":[20,112],"between":[21,113],"the":[22,28,46,67,79,85,90,102,114],"subsystems":[23],"and":[24,57,60],"slow-switching":[29],"type.":[30],"The":[31],"proposed":[32],"sufficient":[33],"for":[35,111,120],"have":[37],"an":[38],"interpretation":[39],"in":[40,78],"terms":[41],"relations;":[44],"at":[45],"same":[47],"time,":[48],"they":[49,82,98],"involve":[50],"only":[51],"elementary":[52],"computations":[53],"matrix":[55],"products":[56],"induced":[58],"norms,":[59],"possess":[61],"robustness":[62],"small":[64],"perturbations":[65],"subsystem":[68],"matrices.":[69],"These":[70],"are":[72,118],"also":[73],"related":[74],"slow":[76,89,107],"switching,":[77],"sense":[80],"that":[81],"rely":[83],"knowledge":[86],"how":[88],"switching":[91,103],"should":[92],"be":[93],"guarantee":[95],"stability;":[96],"however,":[97],"cover":[99],"situations":[100],"where":[101],"is":[104],"actually":[105],"not":[106],"enough,":[108],"by":[109],"accounting":[110],"subsystems.":[115],"Numerical":[116],"examples":[117],"included":[119],"illustration.":[121]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}