{"id":"https://openalex.org/W4321004899","doi":"https://doi.org/10.1109/tac.2024.3383278","title":"Finite-Time Stability Properties of Lur'e Systems With Piecewise Continuous Nonlinearities","display_name":"Finite-Time Stability Properties of Lur'e Systems With Piecewise Continuous Nonlinearities","publication_year":2024,"publication_date":"2024-04-01","ids":{"openalex":"https://openalex.org/W4321004899","doi":"https://doi.org/10.1109/tac.2024.3383278"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3383278","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tac.2024.3383278","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-04530198/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048722936","display_name":"Simone Mariano","orcid":"https://orcid.org/0000-0002-5737-0163"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"S. Mariano","raw_affiliation_strings":["University of Melbourne, Parkville, VIC, Australia","University of Melbourne (Parkville VIC 3010 - Australia)"],"affiliations":[{"raw_affiliation_string":"University of Melbourne, Parkville, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]},{"raw_affiliation_string":"University of Melbourne (Parkville VIC 3010 - Australia)","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003519273","display_name":"Romain Postoyan","orcid":"https://orcid.org/0000-0002-2454-602X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"R. Postoyan","raw_affiliation_strings":["CNRS, CRAN, Universit&#x00E9; de Lorraine, Nancy, France"],"affiliations":[{"raw_affiliation_string":"CNRS, CRAN, Universit&#x00E9; de Lorraine, Nancy, France","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I1294671590","https://openalex.org/I90183372"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023173503","display_name":"Luca Zaccarian","orcid":"https://orcid.org/0000-0003-1247-0029"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I190497903","https://openalex.org/I193033237","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210152422","https://openalex.org/I4210159245","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["FR","IT"],"is_corresponding":false,"raw_author_name":"L. Zaccarian","raw_affiliation_strings":["LAAS-CNRS, CNRS, Universit&#x00E9; de Toulouse, Toulouse, France","Dipartimento di Ingegneria Industriale [Trento] (via Sommarive, 9 - 38123 Trento - Italy)"],"affiliations":[{"raw_affiliation_string":"LAAS-CNRS, CNRS, Universit&#x00E9; de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I1294671590","https://openalex.org/I190497903"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Industriale [Trento] (via Sommarive, 9 - 38123 Trento - Italy)","institution_ids":["https://openalex.org/I193223587"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048722936"],"corresponding_institution_ids":["https://openalex.org/I165779595"],"apc_list":null,"apc_paid":null,"fwci":0.3406,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53536705,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"69","issue":"9","first_page":"6325","last_page":"6332"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9969000220298767,"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"}},"topics":[{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9969000220298767,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9961000084877014,"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":0.9919000267982483,"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/mathematics","display_name":"Mathematics","score":0.7178254127502441},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7024957537651062},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6681917309761047},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6432294845581055},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5399754643440247},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.485768586397171},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42998021841049194},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41613683104515076},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2398991584777832},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.196122944355011},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1773313283920288},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1146506667137146},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07094573974609375}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7178254127502441},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7024957537651062},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6681917309761047},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6432294845581055},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5399754643440247},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.485768586397171},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42998021841049194},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41613683104515076},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2398991584777832},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.196122944355011},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1773313283920288},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1146506667137146},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07094573974609375},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2024.3383278","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/tac.2024.3383278","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-04530198v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04530198","pdf_url":"https://hal.science/hal-04530198/document","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://ieeexplore.ieee.org/document/10485469","raw_type":"Journal articles"},{"id":"pmh:oai:iris.unitn.it:11572/434751","is_oa":false,"landing_page_url":"https://hdl.handle.net/11572/434751","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04530198v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04530198","pdf_url":"https://hal.science/hal-04530198/document","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://ieeexplore.ieee.org/document/10485469","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1192622488","display_name":null,"funder_award_id":"HANDY","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2127059016","display_name":null,"funder_award_id":"ANR-18-CE40-0010","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3666426644","display_name":null,"funder_award_id":"18-CE40-0010","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3951424731","display_name":null,"funder_award_id":"ANR-23-CE48-0006","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6876561401","display_name":null,"funder_award_id":"ANR-18","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4321004899.pdf","grobid_xml":"https://content.openalex.org/works/W4321004899.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W1514218977","https://openalex.org/W1537842733","https://openalex.org/W1551360398","https://openalex.org/W1960239420","https://openalex.org/W1963835453","https://openalex.org/W1972945640","https://openalex.org/W2009168018","https://openalex.org/W2010709227","https://openalex.org/W2028756398","https://openalex.org/W2032278511","https://openalex.org/W2051425609","https://openalex.org/W2060446060","https://openalex.org/W2068090013","https://openalex.org/W2074874330","https://openalex.org/W2094871536","https://openalex.org/W2100825332","https://openalex.org/W2101528380","https://openalex.org/W2108054299","https://openalex.org/W2128625127","https://openalex.org/W2144125678","https://openalex.org/W2154414031","https://openalex.org/W2160928060","https://openalex.org/W2165626406","https://openalex.org/W2166856345","https://openalex.org/W2588099484","https://openalex.org/W2593063709","https://openalex.org/W2604964761","https://openalex.org/W2745073858","https://openalex.org/W2964000405","https://openalex.org/W2990251667","https://openalex.org/W2995490341","https://openalex.org/W2999703546","https://openalex.org/W3034240491","https://openalex.org/W3114661703","https://openalex.org/W3167837798","https://openalex.org/W3204203987","https://openalex.org/W4226164840","https://openalex.org/W4237558136","https://openalex.org/W4248816015","https://openalex.org/W4255043376","https://openalex.org/W4387762695","https://openalex.org/W6605872368","https://openalex.org/W6719955630"],"related_works":["https://openalex.org/W2385263368","https://openalex.org/W2347422947","https://openalex.org/W2061292372","https://openalex.org/W2353392568","https://openalex.org/W3009543351","https://openalex.org/W2164703465","https://openalex.org/W2080426547","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590"],"abstract_inverted_index":{"We":[0,24,48,76],"analyze":[1],"the":[2,14,31,35,40,51,71,78,85],"stability":[3,38,66,86],"properties":[4,67,87],"of":[5,16,30,39,54,74,80,88,92],"Lur'e":[6],"systems":[7,91,96],"with":[8],"piecewise":[9],"continuous":[10],"nonlinearities":[11],"by":[12,83,98],"exploiting":[13],"notion":[15],"set-valued":[17],"Lie":[18],"derivative":[19],"for":[20,70],"Lur'e\u2013Postnikov":[21],"Lyapunov":[22],"functions.":[23],"first":[25],"extend":[26],"an":[27],"existing":[28],"result":[29],"literature":[32],"to":[33],"establish":[34],"global":[36],"asymptotic":[37],"origin":[41],"under":[42,60],"a":[43],"more":[44],"general":[45],"sector":[46],"condition.":[47],"then":[49],"present":[50],"main":[52],"results":[53,82],"this":[55],"work,":[56],"namely,":[57],"additional":[58],"conditions":[59],"which":[61],"output":[62],"and":[63,100],"state":[64],"finite-time":[65],"also":[68],"hold":[69],"considered":[72],"class":[73],"systems.":[75],"highlight":[77],"relevance":[79],"these":[81],"certifying":[84],"two":[89],"engineering":[90],"known":[93],"interest:":[94],"mechanical":[95],"affected":[97],"friction":[99],"cellular":[101],"neural":[102],"networks.":[103]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
