{"id":"https://openalex.org/W3199250540","doi":"https://doi.org/10.1109/cdc45484.2021.9682823","title":"Data-driven stability analysis of switched affine systems","display_name":"Data-driven stability analysis of switched affine systems","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W3199250540","doi":"https://doi.org/10.1109/cdc45484.2021.9682823","mag":"3199250540"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9682823","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9682823","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2109.11169","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014892272","display_name":"Matteo Della Rossa","orcid":"https://orcid.org/0000-0002-5591-5748"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Matteo Della Rossa","raw_affiliation_strings":["UCLouvain,ICTEAM,Louvain-la-Neuve,Belgium,1348"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UCLouvain,ICTEAM,Louvain-la-Neuve,Belgium,1348","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035348848","display_name":"Zheming Wang","orcid":"https://orcid.org/0000-0002-5580-0385"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Zheming Wang","raw_affiliation_strings":["UCLouvain,ICTEAM,Louvain-la-Neuve,Belgium,1348"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UCLouvain,ICTEAM,Louvain-la-Neuve,Belgium,1348","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075202398","display_name":"Lucas N. Egidio","orcid":"https://orcid.org/0000-0003-4096-5969"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Lucas N. Egidio","raw_affiliation_strings":["UCLouvain,ICTEAM,Louvain-la-Neuve,Belgium,1348"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UCLouvain,ICTEAM,Louvain-la-Neuve,Belgium,1348","institution_ids":["https://openalex.org/I95674353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056625594","display_name":"Rapha\u00ebl M. Jungers","orcid":"https://orcid.org/0000-0002-7789-0940"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Raphael M. Jungers","raw_affiliation_strings":["UCLouvain,ICTEAM,Louvain-la-Neuve,Belgium,1348"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UCLouvain,ICTEAM,Louvain-la-Neuve,Belgium,1348","institution_ids":["https://openalex.org/I95674353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I95674353"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3204","last_page":"3209"},"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":0.9984999895095825,"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":0.9984999895095825,"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":0.9954000115394592,"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/T11236","display_name":"Control Systems and Identification","score":0.995199978351593,"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/affine-transformation","display_name":"Affine transformation","score":0.7815316319465637},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.7601653337478638},{"id":"https://openalex.org/keywords/spectral-radius","display_name":"Spectral radius","score":0.6613171100616455},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6359833478927612},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6022955179214478},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5797224640846252},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5357083082199097},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4924205541610718},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.467145174741745},{"id":"https://openalex.org/keywords/affine-hull","display_name":"Affine hull","score":0.4223443269729614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3533499836921692},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30777114629745483},{"id":"https://openalex.org/keywords/affine-space","display_name":"Affine space","score":0.23825010657310486},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.23007959127426147},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2107190191745758}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7815316319465637},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.7601653337478638},{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.6613171100616455},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6359833478927612},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6022955179214478},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5797224640846252},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5357083082199097},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4924205541610718},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.467145174741745},{"id":"https://openalex.org/C112128483","wikidata":"https://www.wikidata.org/wiki/Q382504","display_name":"Affine hull","level":4,"score":0.4223443269729614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3533499836921692},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30777114629745483},{"id":"https://openalex.org/C173110770","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine space","level":3,"score":0.23825010657310486},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.23007959127426147},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2107190191745758},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc45484.2021.9682823","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9682823","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2109.11169","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.11169","pdf_url":"https://arxiv.org/pdf/2109.11169","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:3199250540","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2109.11169.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2109.11169","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2109.11169","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2109.11169","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.11169","pdf_url":"https://arxiv.org/pdf/2109.11169","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1552094772","https://openalex.org/W1642990561","https://openalex.org/W1976708114","https://openalex.org/W1978587117","https://openalex.org/W2046921524","https://openalex.org/W2084970142","https://openalex.org/W2085893091","https://openalex.org/W2101893420","https://openalex.org/W2128484696","https://openalex.org/W2131295967","https://openalex.org/W2338188380","https://openalex.org/W2531267560","https://openalex.org/W2564218315","https://openalex.org/W2765898983","https://openalex.org/W2790380176","https://openalex.org/W2964791347","https://openalex.org/W2969264971","https://openalex.org/W3010967370","https://openalex.org/W3086013336","https://openalex.org/W3102205276","https://openalex.org/W3119404651","https://openalex.org/W3127196305","https://openalex.org/W3138132097","https://openalex.org/W3199250540","https://openalex.org/W3201160097","https://openalex.org/W3210839039","https://openalex.org/W4238257903","https://openalex.org/W4249667877","https://openalex.org/W6788218873"],"related_works":["https://openalex.org/W3183227962","https://openalex.org/W1815368981","https://openalex.org/W2534851334","https://openalex.org/W2048241959","https://openalex.org/W3202845658","https://openalex.org/W2567844143","https://openalex.org/W2951031985","https://openalex.org/W3087607243","https://openalex.org/W1566074749","https://openalex.org/W2158669897","https://openalex.org/W2095233962","https://openalex.org/W2512707963","https://openalex.org/W3120545141","https://openalex.org/W2901225894","https://openalex.org/W3010761718","https://openalex.org/W2113250827","https://openalex.org/W2099414584","https://openalex.org/W2783234434","https://openalex.org/W2105151070","https://openalex.org/W2547454822"],"abstract_inverted_index":{"We":[0],"consider":[1],"discrete-time":[2],"switching":[3],"systems":[4],"composed":[5],"of":[6,10,30,44,47,53,61,65,71,88,99],"a":[7,85],"finite":[8,86],"family":[9],"affine":[11],"sub-dynamics.":[12],"First,":[13],"we":[14,57],"recall":[15],"existing":[16],"results":[17],"and":[18,28,33,97],"present":[19],"further":[20],"analysis":[21],"on":[22,78],"the":[23,26,34,40,45,50,54,59,69,79,95,100],"stability":[24,66],"problem,":[25],"existence":[27,70],"characterization":[29],"compact":[31],"attractors,":[32],"relations":[35],"these":[36],"problems":[37],"have":[38],"with":[39,68],"joint":[41],"spectral":[42],"radius":[43],"set":[46],"matrices":[48],"composing":[49],"linear":[51],"part":[52],"subsystems.":[55],"Second,":[56],"tackle":[58],"problem":[60],"providing":[62],"probabilistic":[63],"certificates":[64],"along":[67],"forward":[72],"invariant":[73],"sets,":[74],"assuming":[75],"no":[76],"knowledge":[77],"system":[80],"data":[81],"but":[82],"only":[83],"observing":[84],"number":[87],"sampled":[89],"trajectories.":[90],"Some":[91],"numerical":[92],"examples":[93],"illustrate":[94],"advantages":[96],"limits":[98],"proposed":[101],"conditions.":[102]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
