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Analysis of a class of complex system without equilibria via switched control law

dc.contributor.authorEscalante González, Rodolfo de Jesús
dc.contributor.authorCampos Cantón, Eric
dc.date.accessioned2019-08-27T22:27:25Z
dc.date.available2019-08-27T22:27:25Z
dc.date.issued2018
dc.identifier.citationR.J. Ecalante-González, E. Campos-Cantón, Analysis of a Class of Complex System without Equilibria via Switched Control Law, IFAC-PapersOnLine, Volume 51, Issue 13, 2018, Pages 526-531.
dc.identifier.urihttp://hdl.handle.net/11627/5128
dc.description.abstract"In this article we introduce a new class of complex system without equilibria which exhibits a chaotic multiscroll attractor in each node. The number of scrolls in the attractor is determined by a switched control law to allow the operation of different linear affine systems. Thus, the system is composed of many subsystems which interact with each other to generate a multiscroll attractor. This new class of piecewise linear (PWL) system presents no positive real part in the eigenvalues of the Jacobian matrix as opposed to the reported systems with multiscrolls. The scrolls present a complex behavior since these don’t unwrap and don’t appear close to an unstable manifold of a saddle-focus equilibrium point. A particular case is taken as case study and simulation plots of the attractor are provided."
dc.publisherInternational Federation of Automatic Control
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectChaos theory
dc.subjectChaotic behaviour
dc.subjectPiecewise linear controllers
dc.subjectPiecewise linear systems
dc.subjectSystems without equilibria
dc.subject.classificationMATEMÁTICAS
dc.titleAnalysis of a class of complex system without equilibria via switched control law
dc.typearticle
dc.identifier.doihttps://doi.org/10.1016/j.ifacol.2018.07.333
dc.rights.accessAcceso Abierto


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional