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Stability and multiscroll attractors of control systems via the abscissa

dc.contributor.authorDíaz González, Edgar Cristian
dc.contributor.authorAguirre Hernández, Baltazar
dc.contributor.authorLópez Rentería, Jorge Antonio
dc.contributor.authorCampos Cantón, Eric
dc.contributor.authorLoredo Villalobos, Carlos Arturo
dc.date.accessioned2018-08-20T22:29:24Z
dc.date.available2018-08-20T22:29:24Z
dc.date.issued2017
dc.identifier.citationEdgar-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.identifier.urihttp://hdl.handle.net/11627/4073
dc.description.abstract"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."
dc.language.isoeng
dc.publisherHindawi
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectMultiscroll attractors
dc.subjectKharitonov theorem
dc.subjectPolynomials
dc.subjectInequalities
dc.subjectInterval
dc.subjectFamily
dc.subjectComputation
dc.subjectBounds
dc.subject.classificationArea::CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA::MATEMÁTICAS
dc.titleStability and multiscroll attractors of control systems via the abscissa
dc.typearticle
dc.identifier.doihttps://doi.org/10.1155/2017/6743734
dc.rights.accessAcceso Abierto


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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