{"id":"https://openalex.org/W3088800714","doi":"https://doi.org/10.1109/lcsys.2020.3044838","title":"A Data-Driven Method for Computing Polyhedral Invariant Sets of Black-Box Switched Linear Systems","display_name":"A Data-Driven Method for Computing Polyhedral Invariant Sets of Black-Box Switched Linear Systems","publication_year":2020,"publication_date":"2020-12-15","ids":{"openalex":"https://openalex.org/W3088800714","doi":"https://doi.org/10.1109/lcsys.2020.3044838","mag":"3088800714"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2020.3044838","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2020.3044838","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2009.10984","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035348848","display_name":"Zheming Wang","orcid":"https://orcid.org/0000-0002-5580-0385"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zheming Wang","raw_affiliation_strings":["Department of Mathematical Engineering, Institute for Information and Communication Technologies, Electronics and Applied Mathematics, Ottignies-Louvain-la-Neuve, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-5580-0385","affiliations":[{"raw_affiliation_string":"Department of Mathematical Engineering, Institute for Information and Communication Technologies, Electronics and Applied Mathematics, Ottignies-Louvain-la-Neuve, Belgium","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056625594","display_name":"Rapha\u00ebl M. Jungers","orcid":"https://orcid.org/0000-0002-7789-0940"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Raphael M. Jungers","raw_affiliation_strings":["Department of Mathematical Engineering, Institute for Information and Communication Technologies, Electronics and Applied Mathematics, Ottignies-Louvain-la-Neuve, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-7789-0940","affiliations":[{"raw_affiliation_string":"Department of Mathematical Engineering, Institute for Information and Communication Technologies, Electronics and Applied Mathematics, Ottignies-Louvain-la-Neuve, Belgium","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.895,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.85804384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"5","issue":"5","first_page":"1843","last_page":"1848"},"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":0.9991999864578247,"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":0.9991999864578247,"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/T10791","display_name":"Advanced Control Systems Optimization","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":0.9970999956130981,"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/convexity","display_name":"Convexity","score":0.6502935290336609},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6415322422981262},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.620136022567749},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.48465806245803833},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.48298728466033936},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48253199458122253},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47355595231056213},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4444025158882141},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4367656111717224},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.4282745122909546},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41001901030540466},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39140981435775757},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.364515095949173},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33959853649139404},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11906838417053223},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10761049389839172}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6502935290336609},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6415322422981262},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.620136022567749},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.48465806245803833},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.48298728466033936},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48253199458122253},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47355595231056213},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4444025158882141},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4367656111717224},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.4282745122909546},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41001901030540466},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39140981435775757},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.364515095949173},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33959853649139404},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11906838417053223},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10761049389839172},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/lcsys.2020.3044838","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2020.3044838","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2009.10984","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2009.10984","pdf_url":"https://arxiv.org/pdf/2009.10984","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":null,"raw_type":"text"},{"id":"pmh:oai:dial.uclouvain.be:boreal:240797","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/240797","pdf_url":null,"source":{"id":"https://openalex.org/S4306401974","display_name":"DIAL (Catholic University of Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Control Systems Letters, p. 1-1 (2020)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2009.10984","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2009.10984","pdf_url":"https://arxiv.org/pdf/2009.10984","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2947985845","display_name":null,"funder_award_id":"864017\u2014L2C","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320321390","display_name":"Fonds De La Recherche Scientifique - FNRS","ror":"https://ror.org/03q83t159"},{"id":"https://openalex.org/F4320322852","display_name":"Innoviris","ror":"https://ror.org/04af9zr29"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3088800714.pdf","grobid_xml":"https://content.openalex.org/works/W3088800714.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W607505555","https://openalex.org/W1880805667","https://openalex.org/W2008064692","https://openalex.org/W2020979852","https://openalex.org/W2062974796","https://openalex.org/W2072576829","https://openalex.org/W2074388175","https://openalex.org/W2126416928","https://openalex.org/W2139440252","https://openalex.org/W2156918367","https://openalex.org/W2296319761","https://openalex.org/W2338188380","https://openalex.org/W2606063390","https://openalex.org/W2790380176","https://openalex.org/W2886922087","https://openalex.org/W2894649960","https://openalex.org/W2963423671","https://openalex.org/W2964791347","https://openalex.org/W2969264971","https://openalex.org/W3046818741","https://openalex.org/W4236362309","https://openalex.org/W4238257903","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W1964872188","https://openalex.org/W2187391117","https://openalex.org/W1981809986","https://openalex.org/W2949367465","https://openalex.org/W2587048717","https://openalex.org/W2912909874","https://openalex.org/W4288573727","https://openalex.org/W2494876756","https://openalex.org/W2768754015","https://openalex.org/W2981448761"],"abstract_inverted_index":{"In":[0,26,94],"this":[1,28],"letter,":[2],"we":[3,55,101],"consider":[4],"the":[5,42,52,57,85,95],"problem":[6],"of":[7,21,23,51,59,74,97,112],"invariant":[8,33],"set":[9,20,87,108],"computation":[10],"for":[11,67],"black-box":[12],"switched":[13,68,75],"linear":[14,69,76],"systems":[15,77],"using":[16],"merely":[17],"a":[18,37,90,104],"finite":[19],"observations":[22],"system":[24],"trajectories.":[25],"particular,":[27],"letter":[29],"focuses":[30],"on":[31,41,84,107],"polyhedral":[32],"sets.":[34],"We":[35],"propose":[36],"data-driven":[38],"method":[39,114],"based":[40],"one":[43],"step":[44],"forward":[45],"reachable":[46],"set.":[47],"For":[48],"formal":[49],"verification":[50],"proposed":[53],"method,":[54],"introduce":[56],"concepts":[58],"$\\lambda":[60],"$":[61],"-contractive":[62],"sets":[63,66],"and":[64,88],"almost-invariant":[65],"systems.":[70],"The":[71,110],"convexity-preserving":[72],"property":[73],"allows":[78],"us":[79],"to":[80],"conduct":[81],"contraction":[82,92],"analysis":[83],"computed":[86],"derive":[89],"probabilistic":[91],"property.":[93],"spirit":[96],"non-convex":[98],"scenario":[99],"optimization,":[100],"also":[102],"establish":[103],"chance-constrained":[105],"guarantee":[106],"invariance.":[109],"performance":[111],"our":[113],"is":[115],"then":[116],"illustrated":[117],"by":[118],"numerical":[119],"examples.":[120]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
