{"id":"https://openalex.org/W2011392707","doi":"https://doi.org/10.1109/tac.2015.2416921","title":"Robustness of Stochastic Discrete-Time Switched Linear Systems With Application to Control With Shared Resources","display_name":"Robustness of Stochastic Discrete-Time Switched Linear Systems With Application to Control With Shared Resources","publication_year":2015,"publication_date":"2015-03-29","ids":{"openalex":"https://openalex.org/W2011392707","doi":"https://doi.org/10.1109/tac.2015.2416921","mag":"2011392707"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2015.2416921","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2416921","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://hal.science/hal-00728093/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045352324","display_name":"Luca Greco","orcid":null},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Luca Greco","raw_affiliation_strings":["L2S, Supelec, Gif-sur-Yvette, France"],"affiliations":[{"raw_affiliation_string":"L2S, Supelec, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058680776","display_name":"Antoine Chaillet","orcid":"https://orcid.org/0000-0003-4095-0468"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Antoine Chaillet","raw_affiliation_strings":["L2S, Supelec, Gif-sur-Yvette, France"],"affiliations":[{"raw_affiliation_string":"L2S, Supelec, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036042991","display_name":"Elena Panteley","orcid":"https://orcid.org/0000-0002-4565-9138"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Elena Panteley","raw_affiliation_strings":["L2S, Supelec, Gif-sur-Yvette, France"],"affiliations":[{"raw_affiliation_string":"L2S, Supelec, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045352324"],"corresponding_institution_ids":["https://openalex.org/I102475099"],"apc_list":null,"apc_paid":null,"fwci":1.0915,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.79320407,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"60","issue":"12","first_page":"3168","last_page":"3179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9979000091552734,"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"}},"topics":[{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9979000091552734,"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"}},{"id":"https://openalex.org/T12216","display_name":"Network Time Synchronization Technologies","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9905999898910522,"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/robustness","display_name":"Robustness (evolution)","score":0.7693672180175781},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7094753980636597},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5718870759010315},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5644654035568237},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5193763375282288},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.4408385455608368},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.43416208028793335},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.42721888422966003},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.42214587330818176},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.4182671010494232},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.33075082302093506},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3097699284553528},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.2309998869895935},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18599382042884827},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12345382571220398}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7693672180175781},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7094753980636597},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5718870759010315},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5644654035568237},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5193763375282288},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.4408385455608368},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.43416208028793335},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.42721888422966003},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.42214587330818176},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.4182671010494232},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.33075082302093506},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3097699284553528},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.2309998869895935},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18599382042884827},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12345382571220398},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2015.2416921","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2416921","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:HAL:hal-00728093v2","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-00728093","pdf_url":"https://hal.science/hal-00728093/document","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0018-9286","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00728093v2","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-00728093","pdf_url":"https://hal.science/hal-00728093/document","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0018-9286","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5640121800","display_name":null,"funder_award_id":"(CNRS)","funder_id":"https://openalex.org/F4320322892","funder_display_name":"Centre National de la Recherche Scientifique"}],"funders":[{"id":"https://openalex.org/F4320322892","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2011392707.pdf","grobid_xml":"https://content.openalex.org/works/W2011392707.grobid-xml"},"referenced_works_count":61,"referenced_works":["https://openalex.org/W71757722","https://openalex.org/W155991238","https://openalex.org/W1487444668","https://openalex.org/W1488001421","https://openalex.org/W1489872560","https://openalex.org/W1490978409","https://openalex.org/W1882651929","https://openalex.org/W1964968026","https://openalex.org/W1985049996","https://openalex.org/W2006649235","https://openalex.org/W2012848941","https://openalex.org/W2017493230","https://openalex.org/W2023040616","https://openalex.org/W2032633052","https://openalex.org/W2036553018","https://openalex.org/W2042710419","https://openalex.org/W2044399963","https://openalex.org/W2049121543","https://openalex.org/W2050693590","https://openalex.org/W2054832853","https://openalex.org/W2055140741","https://openalex.org/W2056099894","https://openalex.org/W2058243742","https://openalex.org/W2060853821","https://openalex.org/W2065854950","https://openalex.org/W2074437131","https://openalex.org/W2081408559","https://openalex.org/W2096167725","https://openalex.org/W2097902574","https://openalex.org/W2102591969","https://openalex.org/W2103052126","https://openalex.org/W2104145195","https://openalex.org/W2104932201","https://openalex.org/W2107372872","https://openalex.org/W2108748002","https://openalex.org/W2114239265","https://openalex.org/W2119865368","https://openalex.org/W2120062331","https://openalex.org/W2121733525","https://openalex.org/W2121738258","https://openalex.org/W2125278172","https://openalex.org/W2125838338","https://openalex.org/W2136411767","https://openalex.org/W2138357184","https://openalex.org/W2143636443","https://openalex.org/W2145015681","https://openalex.org/W2153188087","https://openalex.org/W2155208704","https://openalex.org/W2157431674","https://openalex.org/W2162388712","https://openalex.org/W2165201363","https://openalex.org/W2165552581","https://openalex.org/W2401135644","https://openalex.org/W2494231988","https://openalex.org/W3103012671","https://openalex.org/W3106519156","https://openalex.org/W3134653577","https://openalex.org/W4240912299","https://openalex.org/W4301621763","https://openalex.org/W6677683741","https://openalex.org/W6791267575"],"related_works":["https://openalex.org/W3004218185","https://openalex.org/W4390241083","https://openalex.org/W4245457074","https://openalex.org/W2323735050","https://openalex.org/W2347733609","https://openalex.org/W184958470","https://openalex.org/W2912990606","https://openalex.org/W1717256175","https://openalex.org/W2151481036","https://openalex.org/W2155614410"],"abstract_inverted_index":{"Motivated":[0],"by":[1,42,79],"control":[2,37,122],"applications":[3],"relying":[4,80],"on":[5,81],"shared":[6,35],"resources":[7,36],"(such":[8],"as":[9],"computation":[10],"time":[11],"or":[12],"bandwidth),":[13],"we":[14,56,71],"analyze":[15],"the":[16,82,91],"stability":[17,76,84,98],"and":[18,61,63,77,104],"robustness":[19],"of":[20,34,54,75,93],"discrete-time":[21],"switched":[22],"linear":[23,46],"systems":[24,55,94],"with":[25],"stochastic":[26,44,50],"commutations.":[27],"We":[28,87],"show":[29,88],"that":[30,105],"a":[31,43,125],"wide":[32],"class":[33,53,92],"strategies":[38],"can":[39],"be":[40],"modeled":[41],"jump":[45],"system":[47,130],"involving":[48],"two":[49],"processes.":[51,67],"The":[52],"study":[57],"encompasses":[58],"Markov":[59],"chains":[60],"independent":[62],"identically":[64],"distributed":[65],"switching":[66],"For":[68],"these":[69,119,136],"systems,":[70],"recall":[72],"existing":[73],"definitions":[74],"robustness,":[78],"input-to-state":[83],"(ISS)":[85],"property.":[86],"that,":[89],"for":[90,124],"under":[95],"concern,":[96],"\u03b4-moment":[97,102],"is":[99,131],"equivalent":[100],"to":[101,117,133],"ISS":[103],"they":[106],"both":[107],"imply":[108],"almost":[109],"sure":[110],"ISS.":[111],"Several":[112],"sufficient":[113],"conditions":[114],"are":[115],"provided":[116],"guarantee":[118],"properties.":[120],"Anytime":[121],"design":[123],"translational":[126],"oscillator/rotational":[127],"actuator":[128],"(TORA)":[129],"used":[132],"illustrate":[134],"all":[135],"concepts.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}