Piecewise bounded quadratic systems in the plane

In this paper we study the sliding mode of piecewise bounded quadratic systems in the plane given by a non-smooth vector field Z = (X, Y ). Analyzing the singular, crossing and sliding sets, we get the conditions which ensure that any solution, including the sliding one, is bounded.

Detalles Bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, da Silva, Clayton Eduardo Lente, Da Silva, Paulo R.|||0000-0002-1430-5986
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:150697
Acceso en línea:https://ddd.uab.cat/record/150697
https://dx.doi.org/urn:doi:10.1007/s12591-014-0205-y
Access Level:acceso abierto
Palabra clave:Bounded quadratic systems
Non-smooth dynamical systems
Phase portrait
Quadratic systems
Sliding vector fields
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spelling Piecewise bounded quadratic systems in the planeLlibre, Jaume|||0000-0002-9511-5999da Silva, Clayton Eduardo LenteDa Silva, Paulo R.|||0000-0002-1430-5986Bounded quadratic systemsNon-smooth dynamical systemsPhase portraitQuadratic systemsSliding vector fieldsIn this paper we study the sliding mode of piecewise bounded quadratic systems in the plane given by a non-smooth vector field Z = (X, Y ). Analyzing the singular, crossing and sliding sets, we get the conditions which ensure that any solution, including the sliding one, is bounded. 22014-01-0120142014-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/150697https://dx.doi.org/urn:doi:10.1007/s12591-014-0205-yreponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410European Commission https://doi.org/10.13039/501100000780 316338European Commission https://doi.org/10.13039/501100000780 318999open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1506972026-06-06T12:50:31Z
dc.title.none.fl_str_mv Piecewise bounded quadratic systems in the plane
title Piecewise bounded quadratic systems in the plane
spellingShingle Piecewise bounded quadratic systems in the plane
Llibre, Jaume|||0000-0002-9511-5999
Bounded quadratic systems
Non-smooth dynamical systems
Phase portrait
Quadratic systems
Sliding vector fields
title_short Piecewise bounded quadratic systems in the plane
title_full Piecewise bounded quadratic systems in the plane
title_fullStr Piecewise bounded quadratic systems in the plane
title_full_unstemmed Piecewise bounded quadratic systems in the plane
title_sort Piecewise bounded quadratic systems in the plane
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
da Silva, Clayton Eduardo Lente
Da Silva, Paulo R.|||0000-0002-1430-5986
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
da Silva, Clayton Eduardo Lente
Da Silva, Paulo R.|||0000-0002-1430-5986
author_role author
author2 da Silva, Clayton Eduardo Lente
Da Silva, Paulo R.|||0000-0002-1430-5986
author2_role author
author
dc.subject.none.fl_str_mv Bounded quadratic systems
Non-smooth dynamical systems
Phase portrait
Quadratic systems
Sliding vector fields
topic Bounded quadratic systems
Non-smooth dynamical systems
Phase portrait
Quadratic systems
Sliding vector fields
description In this paper we study the sliding mode of piecewise bounded quadratic systems in the plane given by a non-smooth vector field Z = (X, Y ). Analyzing the singular, crossing and sliding sets, we get the conditions which ensure that any solution, including the sliding one, is bounded.
publishDate 2014
dc.date.none.fl_str_mv 2
2014-01-01
2014
2014-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/150697
https://dx.doi.org/urn:doi:10.1007/s12591-014-0205-y
url https://ddd.uab.cat/record/150697
https://dx.doi.org/urn:doi:10.1007/s12591-014-0205-y
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410
European Commission https://doi.org/10.13039/501100000780 316338
European Commission https://doi.org/10.13039/501100000780 318999
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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