Stability and multiscroll attractors of control systems via the abscissa

"We present an approach to generate multiscroll attractors via destabilization of piecewise linear systems based on Hurwitz matrix in this paper. First we present some results about the abscissa of stability of characteristic polynomials from linear differential equations systems; that is, we c...

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Autores: EDGAR CRISTIAN DIAZ GONZALEZ, BALTAZAR AGUIRRE HERNANDEZ, JORGE ANTONIO LOPEZ RENTERIA, ERIC CAMPOS CANTON, CARLOS ARTURO LOREDO VILLALOBOS
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:México
Institución:Instituto Potosino de Investigación Científica y Tecnológica
Repositorio:Repositorio Institucional del IPICYT
OAI Identifier:oai:ipicyt.repositorioinstitucional.mx:1010/1642
Acceso en línea:http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1642
Access Level:acceso abierto
Palabra clave:info:eu-repo/classification/Autor/Multiscroll attractors
info:eu-repo/classification/Autor/Kharitonov theorem
info:eu-repo/classification/Autor/Polynomials
info:eu-repo/classification/Autor/Inequalities
info:eu-repo/classification/Autor/Interval
info:eu-repo/classification/Autor/Family
info:eu-repo/classification/Autor/Computation
info:eu-repo/classification/Autor/Bounds
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
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spelling Stability and multiscroll attractors of control systems via the abscissaEDGAR CRISTIAN DIAZ GONZALEZBALTAZAR AGUIRRE HERNANDEZJORGE ANTONIO LOPEZ RENTERIAERIC CAMPOS CANTONCARLOS ARTURO LOREDO VILLALOBOSinfo:eu-repo/classification/Autor/Multiscroll attractorsinfo:eu-repo/classification/Autor/Kharitonov theoreminfo:eu-repo/classification/Autor/Polynomialsinfo:eu-repo/classification/Autor/Inequalitiesinfo:eu-repo/classification/Autor/Intervalinfo:eu-repo/classification/Autor/Familyinfo:eu-repo/classification/Autor/Computationinfo:eu-repo/classification/Autor/Boundsinfo:eu-repo/classification/cti/1info:eu-repo/classification/cti/12info:eu-repo/classification/cti/12"We present an approach to generate multiscroll attractors via destabilization of piecewise linear systems based on Hurwitz matrix in this paper. First we present some results about the abscissa of stability of characteristic polynomials from linear differential equations systems; that is, we consider Hurwitz polynomials. The starting point is the Gauss–Lucas theorem, we provide lower bounds for Hurwitz polynomials, and by successively decreasing the order of the derivative of the Hurwitz polynomial one obtains a sequence of lower bounds. The results are extended in a straightforward way to interval polynomials; then we apply the abscissa as a measure to destabilize Hurwitz polynomial for the generation of a family of multiscroll attractors based on a class of unstable dissipative systems (UDS) of affine linear type."Hindawi Publishing Corporation2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1642reponame:Repositorio Institucional del IPICYTinstname:Instituto Potosino de Investigación Científica y Tecnológicainstacron:IPICYTinfo:eu-repo/semantics/datasetDOI/https://doi.org/10.1155/2017/6743734citation:Edgar-Cristian Díaz-González, Baltazar Aguirre-Hernández, Jorge Antonio López-Rentería, Eric Campos-Cantón, and Carlos Arturo Loredo-Villalobos, “Stability and Multiscroll Attractors of Control Systems via the Abscissa,” Mathematical Problems in Engineering, vol. 2017, Article ID 6743734, 9 pages, 2017. https://doi.org/10.1155/2017/6743734.info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0oai:ipicyt.repositorioinstitucional.mx:1010/16422024-08-28T03:17:44Z
dc.title.none.fl_str_mv Stability and multiscroll attractors of control systems via the abscissa
title Stability and multiscroll attractors of control systems via the abscissa
spellingShingle Stability and multiscroll attractors of control systems via the abscissa
EDGAR CRISTIAN DIAZ GONZALEZ
info:eu-repo/classification/Autor/Multiscroll attractors
info:eu-repo/classification/Autor/Kharitonov theorem
info:eu-repo/classification/Autor/Polynomials
info:eu-repo/classification/Autor/Inequalities
info:eu-repo/classification/Autor/Interval
info:eu-repo/classification/Autor/Family
info:eu-repo/classification/Autor/Computation
info:eu-repo/classification/Autor/Bounds
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
info:eu-repo/classification/cti/12
title_short Stability and multiscroll attractors of control systems via the abscissa
title_full Stability and multiscroll attractors of control systems via the abscissa
title_fullStr Stability and multiscroll attractors of control systems via the abscissa
title_full_unstemmed Stability and multiscroll attractors of control systems via the abscissa
title_sort Stability and multiscroll attractors of control systems via the abscissa
dc.creator.none.fl_str_mv EDGAR CRISTIAN DIAZ GONZALEZ
BALTAZAR AGUIRRE HERNANDEZ
JORGE ANTONIO LOPEZ RENTERIA
ERIC CAMPOS CANTON
CARLOS ARTURO LOREDO VILLALOBOS
author EDGAR CRISTIAN DIAZ GONZALEZ
author_facet EDGAR CRISTIAN DIAZ GONZALEZ
BALTAZAR AGUIRRE HERNANDEZ
JORGE ANTONIO LOPEZ RENTERIA
ERIC CAMPOS CANTON
CARLOS ARTURO LOREDO VILLALOBOS
author_role author
author2 BALTAZAR AGUIRRE HERNANDEZ
JORGE ANTONIO LOPEZ RENTERIA
ERIC CAMPOS CANTON
CARLOS ARTURO LOREDO VILLALOBOS
author2_role author
author
author
author
dc.subject.none.fl_str_mv info:eu-repo/classification/Autor/Multiscroll attractors
info:eu-repo/classification/Autor/Kharitonov theorem
info:eu-repo/classification/Autor/Polynomials
info:eu-repo/classification/Autor/Inequalities
info:eu-repo/classification/Autor/Interval
info:eu-repo/classification/Autor/Family
info:eu-repo/classification/Autor/Computation
info:eu-repo/classification/Autor/Bounds
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
info:eu-repo/classification/cti/12
topic info:eu-repo/classification/Autor/Multiscroll attractors
info:eu-repo/classification/Autor/Kharitonov theorem
info:eu-repo/classification/Autor/Polynomials
info:eu-repo/classification/Autor/Inequalities
info:eu-repo/classification/Autor/Interval
info:eu-repo/classification/Autor/Family
info:eu-repo/classification/Autor/Computation
info:eu-repo/classification/Autor/Bounds
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
info:eu-repo/classification/cti/12
description "We present an approach to generate multiscroll attractors via destabilization of piecewise linear systems based on Hurwitz matrix in this paper. First we present some results about the abscissa of stability of characteristic polynomials from linear differential equations systems; that is, we consider Hurwitz polynomials. The starting point is the Gauss–Lucas theorem, we provide lower bounds for Hurwitz polynomials, and by successively decreasing the order of the derivative of the Hurwitz polynomial one obtains a sequence of lower bounds. The results are extended in a straightforward way to interval polynomials; then we apply the abscissa as a measure to destabilize Hurwitz polynomial for the generation of a family of multiscroll attractors based on a class of unstable dissipative systems (UDS) of affine linear type."
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1642
url http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1642
dc.relation.none.fl_str_mv info:eu-repo/semantics/datasetDOI/https://doi.org/10.1155/2017/6743734
citation:Edgar-Cristian Díaz-González, Baltazar Aguirre-Hernández, Jorge Antonio López-Rentería, Eric Campos-Cantón, and Carlos Arturo Loredo-Villalobos, “Stability and Multiscroll Attractors of Control Systems via the Abscissa,” Mathematical Problems in Engineering, vol. 2017, Article ID 6743734, 9 pages, 2017. https://doi.org/10.1155/2017/6743734.
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
dc.source.none.fl_str_mv reponame:Repositorio Institucional del IPICYT
instname:Instituto Potosino de Investigación Científica y Tecnológica
instacron:IPICYT
instname_str Instituto Potosino de Investigación Científica y Tecnológica
instacron_str IPICYT
institution IPICYT
reponame_str Repositorio Institucional del IPICYT
collection Repositorio Institucional del IPICYT
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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