{"id":"https://openalex.org/W1558678876","doi":"https://doi.org/10.23919/ecc.2013.6669826","title":"A new stability result for switched linear systems","display_name":"A new stability result for switched linear systems","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1558678876","doi":"https://doi.org/10.23919/ecc.2013.6669826","mag":"1558678876"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2013.6669826","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669826","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","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/A5078553659","display_name":"Y. Kouhi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210127568","display_name":"Max Planck Institute for Dynamics of Complex Technical Systems","ror":"https://ror.org/030h7k016","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210127568"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Yashar Kouhi","raw_affiliation_strings":["Max Planck Institute for Dynamics of Complex of Technical Systems, Magdeburg, Germany","Control Syst. Group, Tech. Univ. Berlin, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Dynamics of Complex of Technical Systems, Magdeburg, Germany","institution_ids":["https://openalex.org/I4210127568"]},{"raw_affiliation_string":"Control Syst. Group, Tech. Univ. Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076974853","display_name":"Naim Baj\u00e7inca","orcid":"https://orcid.org/0000-0002-1660-4859"},"institutions":[{"id":"https://openalex.org/I4210127568","display_name":"Max Planck Institute for Dynamics of Complex Technical Systems","ror":"https://ror.org/030h7k016","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210127568"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Naim Bajcinca","raw_affiliation_strings":["Max Planck Institute for Dynamics of Complex of Technical Systems, Magdeburg, Germany","Control Syst. Group, Tech. Univ. Berlin, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Dynamics of Complex of Technical Systems, Magdeburg, Germany","institution_ids":["https://openalex.org/I4210127568"]},{"raw_affiliation_string":"Control Syst. Group, Tech. Univ. Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033002944","display_name":"J\u00f6rg Raisch","orcid":"https://orcid.org/0000-0002-8724-0773"},"institutions":[{"id":"https://openalex.org/I4210127568","display_name":"Max Planck Institute for Dynamics of Complex Technical Systems","ror":"https://ror.org/030h7k016","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210127568"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jorg Raisch","raw_affiliation_strings":["Max Planck Institute for Dynamics of Complex of Technical Systems, Magdeburg, Germany","Control Syst. Group, Tech. Univ. Berlin, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Dynamics of Complex of Technical Systems, Magdeburg, Germany","institution_ids":["https://openalex.org/I4210127568"]},{"raw_affiliation_string":"Control Syst. Group, Tech. Univ. Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036373073","display_name":"Robert Shorten","orcid":"https://orcid.org/0000-0002-9239-2499"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]},{"id":"https://openalex.org/I4210145784","display_name":"IBM Research - Ireland","ror":"https://ror.org/04jnxr720","country_code":"IE","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210145784"]}],"countries":["IE","US"],"is_corresponding":false,"raw_author_name":"Robert Shorten","raw_affiliation_strings":["IBM Research Ireland","IBM Research - Ireland,Dublin,Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Research Ireland","institution_ids":["https://openalex.org/I4210145784"]},{"raw_affiliation_string":"IBM Research - Ireland,Dublin,Ireland","institution_ids":["https://openalex.org/I1341412227"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2152","last_page":"2156"},"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":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/T10046","display_name":"Stability and Control of Uncertain Systems","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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9955000281333923,"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":0.9955000281333923,"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/symmetric-matrix","display_name":"Symmetric matrix","score":0.610710620880127},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.5745618939399719},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.57439124584198},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5707587003707886},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5426251888275146},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5288912653923035},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5206395983695984},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5151392221450806},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4564592242240906},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4471622705459595},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42449119687080383},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33403319120407104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2354644238948822},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09170207381248474},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.08901822566986084},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07678687572479248},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07127627730369568},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06344041228294373},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06270545721054077}],"concepts":[{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.610710620880127},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.5745618939399719},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.57439124584198},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5707587003707886},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5426251888275146},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5288912653923035},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5206395983695984},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5151392221450806},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4564592242240906},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4471622705459595},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42449119687080383},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33403319120407104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2354644238948822},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09170207381248474},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.08901822566986084},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07678687572479248},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07127627730369568},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06344041228294373},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06270545721054077},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc.2013.6669826","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669826","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.mpg.de:item_1855098","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0014-B252-F","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2013 - European Control Conference (ECC 2013)","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1552094772","https://openalex.org/W1868559974","https://openalex.org/W1972904014","https://openalex.org/W1995063858","https://openalex.org/W2062974796","https://openalex.org/W2071878037","https://openalex.org/W2077418568","https://openalex.org/W2081387959","https://openalex.org/W2099577355","https://openalex.org/W2111938890","https://openalex.org/W2126041588","https://openalex.org/W2143528125","https://openalex.org/W2146972536","https://openalex.org/W2798813531","https://openalex.org/W3195133498","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2384522253","https://openalex.org/W4232526067","https://openalex.org/W4205874523","https://openalex.org/W2439220085","https://openalex.org/W2903061509","https://openalex.org/W1895699616","https://openalex.org/W2370851481","https://openalex.org/W2064234232","https://openalex.org/W75826713","https://openalex.org/W1716629940"],"abstract_inverted_index":{"In":[0],"this":[1,52],"paper":[2],"we":[3,24],"extend":[4],"the":[5,49],"result":[6,28],"by":[7],"Shorten":[8],"and":[9],"Narendra":[10],"on":[11],"common":[12],"quadratic":[13],"Lyapunov":[14],"functions":[15],"for":[16],"pairs":[17,34],"of":[18,51],"matrices":[19],"in":[20],"companion":[21],"form.":[22],"Specifically,":[23],"show":[25],"that":[26,36],"their":[27],"extends":[29],"to":[30,47],"more":[31],"general":[32],"matrix":[33,41],"provided":[35],"an":[37],"associated":[38],"transfer":[39],"function":[40],"is":[42],"symmetric.":[43],"Examples":[44],"are":[45],"given":[46],"illustrate":[48],"usefulness":[50],"result.":[53]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}