{"id":"https://openalex.org/W2035004783","doi":"https://doi.org/10.1109/cdc.2012.6426874","title":"Nilpotent semigroups for the characterization of flat outputs of discrete-time switched linear and LPV systems","display_name":"Nilpotent semigroups for the characterization of flat outputs of discrete-time switched linear and LPV systems","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2035004783","doi":"https://doi.org/10.1109/cdc.2012.6426874","mag":"2035004783"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2012.6426874","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426874","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","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/A5074680464","display_name":"J\u00e9r\u00e9my Parriaux","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jeremy Parriaux","raw_affiliation_strings":["CRAN, UMR 7039, CNRS, France","CRAN, UMR 7039, ESSTIN, Universit\u00e9 de Lorraine, Vandoeuvre-les-Nancy, France"],"affiliations":[{"raw_affiliation_string":"CRAN, UMR 7039, CNRS, France","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CRAN, UMR 7039, ESSTIN, Universit\u00e9 de Lorraine, Vandoeuvre-les-Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210110792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047914836","display_name":"Gilles Mill\u00e9rioux","orcid":"https://orcid.org/0000-0002-3536-0247"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gilles Millerioux","raw_affiliation_strings":["CRAN, UMR 7039, CNRS, France","CRAN, UMR 7039, ESSTIN, Universit\u00e9 de Lorraine, Vandoeuvre-les-Nancy, France"],"affiliations":[{"raw_affiliation_string":"CRAN, UMR 7039, CNRS, France","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CRAN, UMR 7039, ESSTIN, Universit\u00e9 de Lorraine, Vandoeuvre-les-Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210110792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074680464"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110792","https://openalex.org/I90183372"],"apc_list":null,"apc_paid":null,"fwci":1.7043,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.86449963,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"4505","last_page":"4510"},"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":0.9994000196456909,"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":0.9994000196456909,"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":0.9977999925613403,"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/T10142","display_name":"Formal Methods in Verification","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6750422120094299},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.6315778493881226},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.622330904006958},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.6192313432693481},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5264701843261719},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5238333344459534},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5193049311637878},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.5013113021850586},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47189316153526306},{"id":"https://openalex.org/keywords/multidimensional-systems","display_name":"Multidimensional systems","score":0.4169962406158447},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39237481355667114},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3453872799873352},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3221393823623657},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19526615738868713},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1672055423259735},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11398839950561523}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6750422120094299},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.6315778493881226},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.622330904006958},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6192313432693481},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5264701843261719},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5238333344459534},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5193049311637878},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.5013113021850586},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47189316153526306},{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.4169962406158447},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39237481355667114},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3453872799873352},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3221393823623657},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19526615738868713},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1672055423259735},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11398839950561523},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2012.6426874","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426874","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W48920821","https://openalex.org/W1966232946","https://openalex.org/W1975820246","https://openalex.org/W1984949621","https://openalex.org/W2065297540","https://openalex.org/W2125385916","https://openalex.org/W2983388833","https://openalex.org/W4213199622"],"related_works":["https://openalex.org/W1413171824","https://openalex.org/W4381552820","https://openalex.org/W2055652047","https://openalex.org/W1927335900","https://openalex.org/W1774334694","https://openalex.org/W2105110342","https://openalex.org/W2024679076","https://openalex.org/W1997413016","https://openalex.org/W2161010246","https://openalex.org/W2125283452"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,30,33],"problem":[4],"of":[5,32],"flat":[6],"output":[7],"characterization":[8],"for":[9,39],"switched":[10],"linear":[11],"systems":[12],"along":[13],"with":[14,27],"an":[15],"extension":[16],"to":[17,29],"LPV":[18],"systems.":[19],"A":[20],"condition":[21,42],"which":[22],"has":[23],"a":[24,36],"polynomial":[25],"complexity":[26],"respect":[28],"dimension":[31],"system":[34],"and":[35],"practical":[37],"approach":[38],"checking":[40],"this":[41],"are":[43],"provided.":[44]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-26T15:22:09.906841","created_date":"2025-10-10T00:00:00"}