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Stability and Multiscroll Attractors of Control Systems via the Abscissa
Joint Authors
Campos-Cantón, E.
Díaz-González, Edgar-Cristian
Loredo-Villalobos, Carlos-Arturo
López-Rentería, Jorge Antonio
Aguirre-Hernández, Baltazar
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Díaz-González, Edgar-Cristian& Aguirre-Hernández, Baltazar& López-Rentería, Jorge Antonio& Campos-Cantón, E.& Loredo-Villalobos, Carlos-Arturo. 2017. Stability and Multiscroll Attractors of Control Systems via the Abscissa. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1191473
Modern Language Association (MLA)
Díaz-González, Edgar-Cristian…[et al.]. Stability and Multiscroll Attractors of Control Systems via the Abscissa. Mathematical Problems in Engineering No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1191473
American Medical Association (AMA)
Díaz-González, Edgar-Cristian& Aguirre-Hernández, Baltazar& López-Rentería, Jorge Antonio& Campos-Cantón, E.& Loredo-Villalobos, Carlos-Arturo. Stability and Multiscroll Attractors of Control Systems via the Abscissa. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1191473
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191473