{"id":"https://openalex.org/W3027231068","doi":"https://doi.org/10.1109/tac.2020.2996597","title":"Asymptotic Stability of Piecewise Affine Systems With Filippov Solutions via Discontinuous Piecewise Lyapunov Functions","display_name":"Asymptotic Stability of Piecewise Affine Systems With Filippov Solutions via Discontinuous Piecewise Lyapunov Functions","publication_year":2020,"publication_date":"2020-05-22","ids":{"openalex":"https://openalex.org/W3027231068","doi":"https://doi.org/10.1109/tac.2020.2996597","mag":"3027231068"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2020.2996597","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.2996597","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://pure.rug.nl/ws/files/169594485/09099083.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051334095","display_name":"Raffaele Iervolino","orcid":"https://orcid.org/0000-0001-6540-9243"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Raffaele Iervolino","raw_affiliation_strings":["Department of Electrical Engineering and Information Technology, University of Naples Federico II, Napoli, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Information Technology, University of Naples Federico II, Napoli, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043502547","display_name":"Stephan Trenn","orcid":"https://orcid.org/0000-0002-0947-0282"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stephan Trenn","raw_affiliation_strings":["University of Groningen, Groningen, AG, Italy"],"affiliations":[{"raw_affiliation_string":"University of Groningen, Groningen, AG, Italy","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082366820","display_name":"Francesco Vasca","orcid":"https://orcid.org/0000-0002-0960-8683"},"institutions":[{"id":"https://openalex.org/I16337185","display_name":"University of Sannio","ror":"https://ror.org/04vc81p87","country_code":"IT","type":"education","lineage":["https://openalex.org/I16337185"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesco Vasca","raw_affiliation_strings":["Department of Engineering, University of Sannio, Benevento, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Sannio, Benevento, Italy","institution_ids":["https://openalex.org/I16337185"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5051334095"],"corresponding_institution_ids":["https://openalex.org/I71267560"],"apc_list":null,"apc_paid":null,"fwci":3.8958,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.93828619,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"66","issue":"4","first_page":"1513","last_page":"1528"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9991000294685364,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9966999888420105,"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":0.8259238600730896},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6329149603843689},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.630172073841095},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.5621957182884216},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5425028204917908},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43979644775390625},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.43895548582077026},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4187447428703308},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41080498695373535},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.34013235569000244},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.21768876910209656},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10021179914474487},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07368752360343933}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8259238600730896},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6329149603843689},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.630172073841095},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.5621957182884216},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5425028204917908},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43979644775390625},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.43895548582077026},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4187447428703308},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41080498695373535},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34013235569000244},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.21768876910209656},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10021179914474487},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07368752360343933},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"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/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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2020.2996597","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.2996597","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:pure.rug.nl:publications/4ba1094f-0697-4c47-8c4a-9049a1145e0e","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/4ba1094f-0697-4c47-8c4a-9049a1145e0e","pdf_url":"https://pure.rug.nl/ws/files/169594485/09099083.pdf","source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Iervolino, R, Trenn, S & Vasca, F 2021, 'Asymptotic stability of piecewise affine systems with Filippov solutions via discontinuous piecewise Lyapunov functions', IEEE Transactions on Automatic Control, vol. 66, no. 4, pp. 1513-1528. https://doi.org/10.1109/TAC.2020.2996597","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/4ba1094f-0697-4c47-8c4a-9049a1145e0e","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/4ba1094f-0697-4c47-8c4a-9049a1145e0e","pdf_url":"https://research.rug.nl/files/169594485/09099083.pdf","source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"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":"Iervolino, R, Trenn, S & Vasca, F 2021, 'Asymptotic stability of piecewise affine systems with Filippov solutions via discontinuous piecewise Lyapunov functions', IEEE Transactions on Automatic Control, vol. 66, no. 4, pp. 1513-1528. https://doi.org/10.1109/TAC.2020.2996597","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:publications/4ba1094f-0697-4c47-8c4a-9049a1145e0e","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/4ba1094f-0697-4c47-8c4a-9049a1145e0e","pdf_url":"https://pure.rug.nl/ws/files/169594485/09099083.pdf","source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Iervolino, R, Trenn, S & Vasca, F 2021, 'Asymptotic stability of piecewise affine systems with Filippov solutions via discontinuous piecewise Lyapunov functions', IEEE Transactions on Automatic Control, vol. 66, no. 4, pp. 1513-1528. https://doi.org/10.1109/TAC.2020.2996597","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3027231068.pdf","grobid_xml":"https://content.openalex.org/works/W3027231068.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W117938090","https://openalex.org/W1574693725","https://openalex.org/W1594130515","https://openalex.org/W1855336155","https://openalex.org/W1987634318","https://openalex.org/W1996578343","https://openalex.org/W1996726104","https://openalex.org/W2008062629","https://openalex.org/W2011161833","https://openalex.org/W2029063034","https://openalex.org/W2035518322","https://openalex.org/W2041832666","https://openalex.org/W2051531788","https://openalex.org/W2062974796","https://openalex.org/W2070643312","https://openalex.org/W2103277556","https://openalex.org/W2105355605","https://openalex.org/W2129492921","https://openalex.org/W2131389047","https://openalex.org/W2401631146","https://openalex.org/W2506307854","https://openalex.org/W2527592809","https://openalex.org/W2569225934","https://openalex.org/W2606697096","https://openalex.org/W2783526347","https://openalex.org/W2803225617","https://openalex.org/W3097995409","https://openalex.org/W3141151088","https://openalex.org/W4254815482","https://openalex.org/W4293078920"],"related_works":["https://openalex.org/W2044253638","https://openalex.org/W1990786645","https://openalex.org/W3168427792","https://openalex.org/W2037332128","https://openalex.org/W2351792710","https://openalex.org/W4293086820","https://openalex.org/W2080426547","https://openalex.org/W2168383058","https://openalex.org/W2164703465","https://openalex.org/W2143247663"],"abstract_inverted_index":{"Asymptotic":[0],"stability":[1,50,93,127],"of":[2,12,69,76,91,100,125],"continuous-time":[3],"piecewise":[4,56,107],"affine":[5],"systems":[6],"defined":[7],"over":[8],"a":[9,47,53],"polyhedral":[10],"partition":[11],"the":[13,22,29,70,74,86,92,113,119,123,126],"state":[14],"space,":[15],"with":[16],"possible":[17],"discontinuous":[18],"vector":[19],"field":[20],"on":[21,66],"boundaries,":[23],"is":[24,34,59,83],"considered.":[25],"In":[26],"this":[27],"article,":[28],"feasible":[30],"Filippov":[31],"solution":[32],"concept":[33],"introduced":[35],"by":[36,104],"characterizing":[37],"single-mode":[38],"Caratheodory,":[39],"sliding":[40],"mode,":[41],"and":[42,79,88,111,122],"forward":[43],"Zeno":[44],"behaviors.":[45],"Then,":[46],"global":[48],"asymptotic":[49],"result":[51],"through":[52],"(possibly":[54],"discontinuous)":[55],"Lyapunov":[57,109],"function":[58],"presented.":[60],"The":[61],"sufficient":[62],"conditions":[63,90],"are":[64],"based":[65],"pointwise":[67],"classifications":[68],"trajectories":[71],"which":[72],"allow":[73],"identification":[75],"crossing,":[77],"unreachable,":[78],"Caratheodory":[80],"boundaries.":[81],"It":[82],"shown":[84],"that":[85],"sign":[87],"jump":[89],"theorem":[94],"can":[95],"be":[96],"expressed":[97],"in":[98],"terms":[99],"linear":[101],"matrix":[102],"inequalities":[103],"particularizing":[105],"to":[106],"quadratic":[108],"functions":[110],"using":[112],"cone-copositivity":[114],"approach.":[115],"Several":[116],"examples":[117],"illustrate":[118],"theoretical":[120],"arguments":[121],"effectiveness":[124],"result.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}
