{"id":"https://openalex.org/W2161913100","doi":"https://doi.org/10.1109/tac.2010.2090066","title":"Observability Forms for Switched Systems With Zeno Phenomenon or High Switching Frequency","display_name":"Observability Forms for Switched Systems With Zeno Phenomenon or High Switching Frequency","publication_year":2010,"publication_date":"2010-11-09","ids":{"openalex":"https://openalex.org/W2161913100","doi":"https://doi.org/10.1109/tac.2010.2090066","mag":"2161913100"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2010.2090066","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2090066","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":true,"oa_status":"green","oa_url":"https://dspace.univ-tlemcen.dz/bitstreams/ee74422e-ffec-4e5f-b37a-5e5c4a4c4327/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100736935","display_name":"Lei Yu","orcid":"https://orcid.org/0000-0002-7329-4631"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]},{"id":"https://openalex.org/I86175216","display_name":"\u00c9cole Nationale Sup\u00e9rieure de l'\u00c9lectronique et de ses Applications","ror":"https://ror.org/03qeacd72","country_code":"FR","type":"education","lineage":["https://openalex.org/I86175216"]}],"countries":["CN","FR"],"is_corresponding":true,"raw_author_name":"Lei Yu","raw_affiliation_strings":["ENSEA, ECS-Laboratory EA, Cergy-Pontoise, France","EPI ALIEN, INRIA, France","Signal Processing Laboratory, Electronic and Information School, Wuhan University of China, China","with Signal Processing Laboratory, Electronic and Information School, Wuhan University, China, and","ECS-Lab EA 3649, ENSEA, 6 Avenue du Ponceau, 95014 Cergy-Pontoise, France"],"affiliations":[{"raw_affiliation_string":"ENSEA, ECS-Laboratory EA, Cergy-Pontoise, France","institution_ids":["https://openalex.org/I86175216"]},{"raw_affiliation_string":"EPI ALIEN, INRIA, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Signal Processing Laboratory, Electronic and Information School, Wuhan University of China, China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"with Signal Processing Laboratory, Electronic and Information School, Wuhan University, China, and","institution_ids":[]},{"raw_affiliation_string":"ECS-Lab EA 3649, ENSEA, 6 Avenue du Ponceau, 95014 Cergy-Pontoise, France","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004295114","display_name":"Jean\u2010Pierre Barbot","orcid":"https://orcid.org/0000-0002-7723-2534"},"institutions":[{"id":"https://openalex.org/I86175216","display_name":"\u00c9cole Nationale Sup\u00e9rieure de l'\u00c9lectronique et de ses Applications","ror":"https://ror.org/03qeacd72","country_code":"FR","type":"education","lineage":["https://openalex.org/I86175216"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Pierre Barbot","raw_affiliation_strings":["ENSEA, ECS-Laboratory EA, Cergy-Pontoise, France","EPI ALIEN, INRIA, France","ECS-Lab EA 3649, ENSEA, 6 Avenue du Ponceau, 95014 Cergy-Pontoise, France","with Signal Processing Laboratory, Electronic and Information School, Wuhan University, China, and"],"affiliations":[{"raw_affiliation_string":"ENSEA, ECS-Laboratory EA, Cergy-Pontoise, France","institution_ids":["https://openalex.org/I86175216"]},{"raw_affiliation_string":"EPI ALIEN, INRIA, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"ECS-Lab EA 3649, ENSEA, 6 Avenue du Ponceau, 95014 Cergy-Pontoise, France","institution_ids":[]},{"raw_affiliation_string":"with Signal Processing Laboratory, Electronic and Information School, Wuhan University, China, and","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057148868","display_name":"Driss Boutat","orcid":"https://orcid.org/0000-0001-6026-5674"},"institutions":[{"id":"https://openalex.org/I4210096782","display_name":"Laboratoire Pluridisciplinaire de Recherche en Ing\u00e9nierie des Syst\u00e8mes, M\u00e9canique et Energ\u00e9tique","ror":"https://ror.org/00sbth994","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12449238","https://openalex.org/I4210096782","https://openalex.org/I4210143826"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Driss Boutat","raw_affiliation_strings":["ENSI-Bourges, Institut PRISME, Loire Valley University, Bourges, France","D. Boutat is with Loire Valley University , ENSI-Bourges, Institut PRISME, 88 Bd. Lahitolle, 18020 Bourges Cedex, France"],"affiliations":[{"raw_affiliation_string":"ENSI-Bourges, Institut PRISME, Loire Valley University, Bourges, France","institution_ids":["https://openalex.org/I4210096782"]},{"raw_affiliation_string":"D. Boutat is with Loire Valley University , ENSI-Bourges, Institut PRISME, 88 Bd. Lahitolle, 18020 Bourges Cedex, France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106445620","display_name":"D. Benmerzouk","orcid":null},"institutions":[{"id":"https://openalex.org/I4210146810","display_name":"TLC Precision Wafer Technology (United States)","ror":"https://ror.org/04fpt0902","country_code":"US","type":"company","lineage":["https://openalex.org/I4210146810"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Djamila Benmerzouk","raw_affiliation_strings":["Department of Mathematics, TLC Precision Wafer Technology, Inc., Algeria","D. Benmerzouk is with Department of Mathematics, Tlemcen University, Algeria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, TLC Precision Wafer Technology, Inc., Algeria","institution_ids":["https://openalex.org/I4210146810"]},{"raw_affiliation_string":"D. Benmerzouk is with Department of Mathematics, Tlemcen University, Algeria","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100736935"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I37461747","https://openalex.org/I86175216"],"apc_list":null,"apc_paid":null,"fwci":4.3728,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.94484827,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"56","issue":"2","first_page":"436","last_page":"441"},"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":0.9994999766349792,"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":0.9994999766349792,"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":0.9987000226974487,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.978863537311554},{"id":"https://openalex.org/keywords/zenos-paradoxes","display_name":"Zeno's paradoxes","score":0.8576775789260864},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7165662050247192},{"id":"https://openalex.org/keywords/diffeomorphism","display_name":"Diffeomorphism","score":0.7027434706687927},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6253302097320557},{"id":"https://openalex.org/keywords/phenomenon","display_name":"Phenomenon","score":0.5011045932769775},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49470922350883484},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.42679840326309204},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4103090167045593},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16957035660743713},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.1539595127105713},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14821049571037292},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1443265974521637},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11536267399787903}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.978863537311554},{"id":"https://openalex.org/C7707877","wikidata":"https://www.wikidata.org/wiki/Q33378","display_name":"Zeno's paradoxes","level":2,"score":0.8576775789260864},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7165662050247192},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.7027434706687927},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6253302097320557},{"id":"https://openalex.org/C50335755","wikidata":"https://www.wikidata.org/wiki/Q483247","display_name":"Phenomenon","level":2,"score":0.5011045932769775},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49470922350883484},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.42679840326309204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4103090167045593},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16957035660743713},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.1539595127105713},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14821049571037292},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1443265974521637},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11536267399787903},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tac.2010.2090066","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2090066","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"},{"id":"pmh:oai:dspace.univ-tlemcen.dz:112/1874","is_oa":true,"landing_page_url":"https://dspace.univ-tlemcen.dz/handle/112/1874","pdf_url":"https://dspace.univ-tlemcen.dz/bitstreams/ee74422e-ffec-4e5f-b37a-5e5c4a4c4327/download","source":{"id":"https://openalex.org/S4406922607","display_name":"D\u00e9p\u00f4t Institutionnel de lUniversit\u00e9 de Tlemcen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.230.4382","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.230.4382","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.inria.fr/docs/00/53/01/12/PDF/hal_version.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00530112v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00530112","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2011, 56 (2), pp.436 - 441. &#x27E8;10.1109/TAC.2010.2090066&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:dspace.univ-tlemcen.dz:112/1874","is_oa":true,"landing_page_url":"https://dspace.univ-tlemcen.dz/handle/112/1874","pdf_url":"https://dspace.univ-tlemcen.dz/bitstreams/ee74422e-ffec-4e5f-b37a-5e5c4a4c4327/download","source":{"id":"https://openalex.org/S4406922607","display_name":"D\u00e9p\u00f4t Institutionnel de lUniversit\u00e9 de Tlemcen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2161913100.pdf","grobid_xml":"https://content.openalex.org/works/W2161913100.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1489704243","https://openalex.org/W1497280145","https://openalex.org/W1514218977","https://openalex.org/W1516289514","https://openalex.org/W1552094772","https://openalex.org/W1581952967","https://openalex.org/W1592648094","https://openalex.org/W1984215648","https://openalex.org/W2011392224","https://openalex.org/W2018851823","https://openalex.org/W2027528398","https://openalex.org/W2048723778","https://openalex.org/W2093352963","https://openalex.org/W2099308299","https://openalex.org/W2120666720","https://openalex.org/W2121922603","https://openalex.org/W2123406505","https://openalex.org/W2136768795","https://openalex.org/W2140998418","https://openalex.org/W2612373861","https://openalex.org/W3038063592","https://openalex.org/W3106043943","https://openalex.org/W4210718478","https://openalex.org/W4292872153","https://openalex.org/W4293078920","https://openalex.org/W6646594352","https://openalex.org/W6780052310"],"related_works":["https://openalex.org/W4388287607","https://openalex.org/W2383752020","https://openalex.org/W2475803354","https://openalex.org/W2046459260","https://openalex.org/W2353128426","https://openalex.org/W4232681333","https://openalex.org/W2376477863","https://openalex.org/W2967463586","https://openalex.org/W2765830098","https://openalex.org/W1971989957"],"abstract_inverted_index":{"This":[0],"technical":[1],"note":[2],"deals":[3],"with":[4,13,32],"the":[5,27,46,71,75],"observability":[6,22,28],"of":[7,10,34,48,55,60],"a":[8,49,53],"class":[9,54],"switched":[11,56],"systems":[12,57],"Zeno":[14],"phenomenon":[15],"or":[16],"high":[17],"switching":[18,36],"frequency.":[19],"Particularly,":[20],"three":[21],"forms":[23,62],"are":[24,63,68],"proposed":[25],"and":[26,42,66],"for":[29,45],"each":[30],"form":[31],"knowledge":[33],"filtered":[35],"signal":[37],"is":[38],"analyzed.":[39],"Meanwhile,":[40],"sufficient":[41],"necessary":[43],"conditions":[44],"existence":[47],"diffeomorphism":[50],"to":[51,73],"transform":[52],"into":[58],"one":[59],"such":[61],"presented.":[64],"Examples":[65],"simulations":[67],"given":[69],"at":[70],"end":[72],"highlight":[74],"theoretical":[76],"results.":[77]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
