{"id":"https://openalex.org/W4403758651","doi":"https://doi.org/10.1109/tac.2024.3486656","title":"Regional Stability Analysis of Discrete-Time Piecewise Affine Systems","display_name":"Regional Stability Analysis of Discrete-Time Piecewise Affine Systems","publication_year":2024,"publication_date":"2024-10-25","ids":{"openalex":"https://openalex.org/W4403758651","doi":"https://doi.org/10.1109/tac.2024.3486656"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3486656","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3486656","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017884317","display_name":"Leonardo Cabral","orcid":"https://orcid.org/0000-0002-3331-1337"},"institutions":[{"id":"https://openalex.org/I130442723","display_name":"Universidade Federal do Rio Grande do Sul","ror":"https://ror.org/041yk2d64","country_code":"BR","type":"education","lineage":["https://openalex.org/I130442723"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Leonardo Cabral","raw_affiliation_strings":["Graduate Program in Electrical Engineering (PPGEE), Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre-RS, Brazil","UFRGS - Universidade Federal do Rio Grande do Sul [Porto Alegre] (Av. Paulo Gama, 110 - Bairro Farroupilha - Porto Alegre - Rio Grande do Sul - Brazil)"],"affiliations":[{"raw_affiliation_string":"Graduate Program in Electrical Engineering (PPGEE), Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre-RS, Brazil","institution_ids":["https://openalex.org/I130442723"]},{"raw_affiliation_string":"UFRGS - Universidade Federal do Rio Grande do Sul [Porto Alegre] (Av. Paulo Gama, 110 - Bairro Farroupilha - Porto Alegre - Rio Grande do Sul - Brazil)","institution_ids":["https://openalex.org/I130442723"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066966226","display_name":"Gi\u00f3rgio Valm\u00f3rbida","orcid":"https://orcid.org/0000-0002-1710-8590"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Giorgio Valmorbida","raw_affiliation_strings":["Université Paris-Saclay, CNRS, CentraleSupélec, Inria, Laboratoire des Signaux et Systèmes, Gif-sur-Yvette, France","DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec 3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - France)"],"affiliations":[{"raw_affiliation_string":"Université Paris-Saclay, CNRS, CentraleSupélec, Inria, Laboratoire des Signaux et Systèmes, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I4210097418","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec 3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - France)","institution_ids":["https://openalex.org/I4210107720"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047525397","display_name":"J.M. Gomes da Silva","orcid":"https://orcid.org/0000-0002-6275-2895"},"institutions":[{"id":"https://openalex.org/I130442723","display_name":"Universidade Federal do Rio Grande do Sul","ror":"https://ror.org/041yk2d64","country_code":"BR","type":"education","lineage":["https://openalex.org/I130442723"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jo\u00e3o Manoel Gomes da Silva","raw_affiliation_strings":["Department of Automation and Energy (DELAE) and Graduate Program in Electrical Engineering (PPGEE), Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre-RS, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Automation and Energy (DELAE) and Graduate Program in Electrical Engineering (PPGEE), Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre-RS, Brazil","institution_ids":["https://openalex.org/I130442723"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017884317"],"corresponding_institution_ids":["https://openalex.org/I130442723"],"apc_list":null,"apc_paid":null,"fwci":0.3495,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60830568,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"70","issue":"4","first_page":"2507","last_page":"2520"},"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":0.9901999831199646,"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":0.9901999831199646,"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/T11416","display_name":"Numerical methods for differential equations","score":0.982200026512146,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9793999791145325,"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/stability","display_name":"Stability (learning theory)","score":0.6024063229560852},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5265287160873413},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4988400936126709},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4731529653072357},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4436792731285095},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4343380630016327},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.414357453584671},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.326352596282959},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2254490852355957},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1679079830646515},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11744099855422974},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1020784080028534}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6024063229560852},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5265287160873413},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4988400936126709},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4731529653072357},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4436792731285095},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4343380630016327},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.414357453584671},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.326352596282959},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2254490852355957},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1679079830646515},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11744099855422974},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1020784080028534},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2024.3486656","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3486656","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-04924909v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04924909","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"IEEE Transactions on Automatic Control, 2024, pp.1-13. ⟨10.1109/TAC.2024.3486656⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W618928362","https://openalex.org/W1524886571","https://openalex.org/W1550686054","https://openalex.org/W1815368981","https://openalex.org/W1830174732","https://openalex.org/W1855336155","https://openalex.org/W1970855893","https://openalex.org/W1990042683","https://openalex.org/W1993170675","https://openalex.org/W2023599497","https://openalex.org/W2028255459","https://openalex.org/W2028717619","https://openalex.org/W2057209393","https://openalex.org/W2071291283","https://openalex.org/W2072508748","https://openalex.org/W2088615339","https://openalex.org/W2099212405","https://openalex.org/W2118741873","https://openalex.org/W2129492921","https://openalex.org/W2131389047","https://openalex.org/W2141065314","https://openalex.org/W2145957603","https://openalex.org/W2146447376","https://openalex.org/W2152522362","https://openalex.org/W2156078565","https://openalex.org/W2168150138","https://openalex.org/W2289763402","https://openalex.org/W2606697096","https://openalex.org/W2765171022","https://openalex.org/W2791285025","https://openalex.org/W2989986341","https://openalex.org/W2999453547","https://openalex.org/W3000691628","https://openalex.org/W3027231068","https://openalex.org/W3117881175","https://openalex.org/W3120596621","https://openalex.org/W3142744390","https://openalex.org/W3165982799","https://openalex.org/W3195777961","https://openalex.org/W4200634766","https://openalex.org/W4210390142","https://openalex.org/W4250589301","https://openalex.org/W4309579407","https://openalex.org/W4365449511","https://openalex.org/W4388918982","https://openalex.org/W4399257842","https://openalex.org/W6679392325","https://openalex.org/W6791090459"],"related_works":["https://openalex.org/W2385263368","https://openalex.org/W2038416447","https://openalex.org/W2364151838","https://openalex.org/W2347422947","https://openalex.org/W2061292372","https://openalex.org/W2066926363","https://openalex.org/W2353392568","https://openalex.org/W2377341410","https://openalex.org/W1623358412","https://openalex.org/W1454600515"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"study":[4],"the":[5,18,41,53,78,83,88,91],"regional":[6],"stability":[7,19],"of":[8,25,43,55,69,77,80,82,90],"discrete-time":[9],"piecewise":[10,44],"affine":[11],"(PWA)":[12],"systems.":[13],"The":[14],"proposed":[15,92],"method":[16],"for":[17],"analysis":[20],"uses":[21],"an":[22,75],"implicit":[23],"representation":[24],"PWA":[26],"systems":[27],"based":[28],"on":[29],"ramp":[30],"functions,":[31],"and":[32],"it":[33],"builds":[34],"upon":[35],"Linear":[36],"Matrix":[37],"Inequalities":[38],"to":[39,60],"verify":[40],"nonnegativity":[42,54],"quadratic":[45],"(PWQ)":[46],"functions":[47,57],"in":[48],"a":[49,65,71],"given":[50],"set.":[51],"Verifying":[52],"PWQ":[56,66],"allows":[58],"us":[59],"solve":[61],"Lyapunov":[62,67],"inequalities":[63],"yielding":[64],"function":[68],"which":[70],"level":[72],"set":[73],"gives":[74],"estimate":[76],"region":[79],"attraction":[81],"origin.":[84],"Numerical":[85],"results":[86],"illustrate":[87],"effectiveness":[89],"method.":[93]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}