{"id":"https://openalex.org/W1987634318","doi":"https://doi.org/10.1109/acc.2014.6859071","title":"Stability analysis of piecewise affine systems with sliding modes","display_name":"Stability analysis of piecewise affine systems with sliding modes","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W1987634318","doi":"https://doi.org/10.1109/acc.2014.6859071","mag":"1987634318"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2014.6859071","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2014.6859071","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 American Control Conference","raw_type":"proceedings-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/A5061597985","display_name":"Tiago Jackson May Dezuo","orcid":"https://orcid.org/0000-0003-0324-7327"},"institutions":[{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Tiago Dezuo","raw_affiliation_strings":["Universidade Federal de Santa Catarina, Florianopolis, SC, BR","Dept. of Autom. & Syst. Eng., Fed. Univ. of Santa Catarina (UFSC), Florianopolis, Brazil"],"affiliations":[{"raw_affiliation_string":"Universidade Federal de Santa Catarina, Florianopolis, SC, BR","institution_ids":["https://openalex.org/I4104125"]},{"raw_affiliation_string":"Dept. of Autom. & Syst. Eng., Fed. Univ. of Santa Catarina (UFSC), Florianopolis, Brazil","institution_ids":["https://openalex.org/I4104125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032612210","display_name":"Lu\u00eds Rodrigues","orcid":"https://orcid.org/0000-0002-1389-6606"},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]},{"id":"https://openalex.org/I4210148195","display_name":"Concordia University","ror":"https://ror.org/04dwckp88","country_code":"US","type":"education","lineage":["https://openalex.org/I4210148195"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"Luis Rodrigues","raw_affiliation_strings":["Concordia University, Montreal, QC, CA","Dept. of Electr. & Comput. Eng., Concordia Univ., Montre\u0301al, QC, Canada"],"affiliations":[{"raw_affiliation_string":"Concordia University, Montreal, QC, CA","institution_ids":["https://openalex.org/I60158472","https://openalex.org/I4210148195"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Concordia Univ., Montre\u0301al, QC, Canada","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065282452","display_name":"Alexandre Trofino","orcid":"https://orcid.org/0000-0002-2432-1007"},"institutions":[{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Alexandre Trofino","raw_affiliation_strings":["Universidade Federal de Santa Catarina, Florianopolis, SC, BR","Dept. of Autom. & Syst. Eng., Fed. Univ. of Santa Catarina (UFSC), Florianopolis, Brazil"],"affiliations":[{"raw_affiliation_string":"Universidade Federal de Santa Catarina, Florianopolis, SC, BR","institution_ids":["https://openalex.org/I4104125"]},{"raw_affiliation_string":"Dept. of Autom. & Syst. Eng., Fed. Univ. of Santa Catarina (UFSC), Florianopolis, Brazil","institution_ids":["https://openalex.org/I4104125"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061597985"],"corresponding_institution_ids":["https://openalex.org/I4104125"],"apc_list":null,"apc_paid":null,"fwci":2.4345,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.8923299,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2005","last_page":"2010"},"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":0.9987000226974487,"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":0.9987000226974487,"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":0.9973000288009644,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9952999949455261,"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":0.7047390937805176},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.615889310836792},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5312953591346741},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4894239008426666},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4820745587348938},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.474748432636261},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4698314368724823},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.4655483663082123},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4580825865268707},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4217311441898346},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.41940364241600037},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3152729868888855},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2240649163722992},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15811362862586975},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14010974764823914},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10545662045478821}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7047390937805176},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.615889310836792},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5312953591346741},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4894239008426666},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4820745587348938},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.474748432636261},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4698314368724823},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.4655483663082123},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4580825865268707},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4217311441898346},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.41940364241600037},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3152729868888855},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2240649163722992},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15811362862586975},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14010974764823914},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10545662045478821},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2014.6859071","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2014.6859071","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1516289514","https://openalex.org/W1527993902","https://openalex.org/W1552094772","https://openalex.org/W1855336155","https://openalex.org/W1927395284","https://openalex.org/W2041832666","https://openalex.org/W2067503652","https://openalex.org/W2104958104","https://openalex.org/W2118741873","https://openalex.org/W2182510773","https://openalex.org/W2536620281","https://openalex.org/W4293078920","https://openalex.org/W6631486517"],"related_works":["https://openalex.org/W2385263368","https://openalex.org/W2038416447","https://openalex.org/W2364151838","https://openalex.org/W2142014702","https://openalex.org/W3009543351","https://openalex.org/W2080426547","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590"],"abstract_inverted_index":{"This":[0],"paper":[1,135],"proposes":[2],"new":[3,53,130],"sufficient":[4,110],"conditions":[5,15,54,61,91,111],"for":[6,112,141],"stability":[7,64,113,142],"analysis":[8,143],"of":[9,22,33,51,65,73,77,85,114,117,120,144],"Piecewise":[10,23],"Affine":[11],"(PWA)":[12],"systems.":[13],"The":[14,129],"are":[16,29,48,124],"based":[17],"on":[18],"a":[19,104,127,138],"convex":[20],"combination":[21],"Quadratic":[24],"(PWQ)":[25],"Lyapunov":[26],"functions":[27],"and":[28,148],"given":[30],"in":[31,56,70,133],"terms":[32],"Linear":[34],"Matrix":[35],"Inequalities":[36],"(LMIs),":[37],"which":[38],"can":[39,92],"be":[40],"solved":[41],"efficiently":[42],"using":[43],"available":[44],"software":[45],"packages.":[46],"There":[47],"three":[49],"contributions":[50],"the":[52,60,66,71,83,86,90,94,98,118,121],"presented":[55,132],"this":[57,134],"paper.":[58],"First,":[59],"guarantee":[62],"exponential":[63],"state":[67,87],"dynamics":[68],"even":[69],"presence":[72],"non-destabilizing":[74],"sliding":[75,153],"modes":[76],"all":[78],"possible":[79],"dimensions":[80],"smaller":[81],"than":[82],"dimension":[84],"space.":[88],"Second,":[89],"handle":[93],"important":[95],"case":[96],"where":[97],"equilibrium":[99],"point":[100],"is":[101],"located":[102],"at":[103],"boundary":[105,122],"between":[106],"affine":[107,146,150],"subsystems.":[108],"Third,":[109],"systems":[115,147,151],"independently":[116],"parametrization":[119],"surfaces":[123],"derived":[125],"as":[126],"corollary.":[128],"method":[131],"leads":[136],"to":[137],"unified":[139],"methodology":[140],"switched":[145],"piecewise":[149],"with":[152],"modes.":[154]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-25T21:42:39.735039","created_date":"2025-10-10T00:00:00"}