{"id":"https://openalex.org/W2029611718","doi":"https://doi.org/10.1137/090776871","title":"Invariance Principles for Switched Systems with Restrictions","display_name":"Invariance Principles for Switched Systems with Restrictions","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2029611718","doi":"https://doi.org/10.1137/090776871","mag":"2029611718"},"language":"en","primary_location":{"id":"doi:10.1137/090776871","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090776871","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5074357393","display_name":"J.L. Mancilla-Aguilar","orcid":"https://orcid.org/0000-0003-1248-1983"},"institutions":[{"id":"https://openalex.org/I4210133962","display_name":"Buenos Aires Institute of Technology","ror":"https://ror.org/02qwadn23","country_code":"AR","type":"education","lineage":["https://openalex.org/I4210133962"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"J. L. Mancilla-Aguilar","raw_affiliation_strings":["Department of Mathematics, Instituto Tecnol\u00f3gico de Buenos Aires, 1106, Argentina"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Instituto Tecnol\u00f3gico de Buenos Aires, 1106, Argentina","institution_ids":["https://openalex.org/I4210133962"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101768928","display_name":"Rafael Antonio Garc\u00eda","orcid":"https://orcid.org/0000-0003-2479-4944"},"institutions":[{"id":"https://openalex.org/I4210133962","display_name":"Buenos Aires Institute of Technology","ror":"https://ror.org/02qwadn23","country_code":"AR","type":"education","lineage":["https://openalex.org/I4210133962"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"R. A. Garc\u00eda","raw_affiliation_strings":["Department of Mathematics, Instituto Tecnol\u00f3gico de Buenos Aires, 1106, Argentina"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Instituto Tecnol\u00f3gico de Buenos Aires, 1106, Argentina","institution_ids":["https://openalex.org/I4210133962"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074357393"],"corresponding_institution_ids":["https://openalex.org/I4210133962"],"apc_list":null,"apc_paid":null,"fwci":1.9575,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.8805368,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"49","issue":"4","first_page":"1544","last_page":"1569"},"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":0.9994000196456909,"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":0.9994000196456909,"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":0.9980999827384949,"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":0.9957000017166138,"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/observability","display_name":"Observability","score":0.8367403745651245},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7189691066741943},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.621739387512207},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5857473611831665},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5486416220664978},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5395898222923279},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4943575859069824},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4943394660949707},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.24411815404891968},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18650764226913452},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17736497521400452},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09317633509635925}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.8367403745651245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7189691066741943},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.621739387512207},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5857473611831665},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5486416220664978},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5395898222923279},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4943575859069824},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4943394660949707},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.24411815404891968},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18650764226913452},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17736497521400452},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09317633509635925},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/090776871","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090776871","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320337954","display_name":"Fondo para la Investigaci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/03stxzb56"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1963835453","https://openalex.org/W1968643820","https://openalex.org/W1975722775","https://openalex.org/W1989230227","https://openalex.org/W1992162473","https://openalex.org/W1995156490","https://openalex.org/W2003110044","https://openalex.org/W2009266145","https://openalex.org/W2026129670","https://openalex.org/W2062974796","https://openalex.org/W2064078541","https://openalex.org/W2065322876","https://openalex.org/W2104958104","https://openalex.org/W2118741873","https://openalex.org/W2121672983","https://openalex.org/W2123138848","https://openalex.org/W2129231075","https://openalex.org/W2137984751","https://openalex.org/W2139656224","https://openalex.org/W2143156927","https://openalex.org/W2148993855","https://openalex.org/W2154414031","https://openalex.org/W4240970709"],"related_works":["https://openalex.org/W2046459260","https://openalex.org/W2967463586","https://openalex.org/W2765830098","https://openalex.org/W1971989957","https://openalex.org/W2517338020","https://openalex.org/W3157641275","https://openalex.org/W4312300846","https://openalex.org/W2615757685","https://openalex.org/W2098782634","https://openalex.org/W3000546688"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"consider":[4],"switched":[5,50],"nonlinear":[6],"systems":[7,26,51],"with":[8,52],"otherwise":[9],"arbitrary":[10],"compact":[11],"index":[12],"sets":[13],"and":[14,27,35,64],"subjected":[15],"to":[16,43,77],"different":[17],"switching":[18,65],"constraints.":[19],"We":[20],"present":[21],"invariance":[22],"principles":[23],"for":[24],"these":[25],"derive,":[28],"by":[29],"using":[30],"observability-like":[31],"notions,":[32],"some":[33],"convergence":[34],"asymptotic":[36],"stability":[37,46],"criteria.":[38],"These":[39],"results":[40],"enable":[41],"us":[42],"analyze":[44],"the":[45,56,59,71],"of":[47,49,58,81],"solutions":[48],"restrictions":[53],"originating":[54],"from":[55],"timing":[57],"switchings,":[60],"state-dependent":[61],"constrained":[62],"switching,":[63],"whose":[66],"logic":[67],"has":[68],"memory;":[69],"i.e.,":[70],"active":[72],"subsystem":[73],"can":[74],"only":[75],"switch":[76],"a":[78],"prescribed":[79],"subset":[80],"subsystems.":[82]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}