TITLE:
Applying Linear Controls to Chaotic Continuous Dynamical Systems
AUTHORS:
James Braselton, Yan Wu
KEYWORDS:
Chaotic Dynamical System, Lorenz Equations, Rössler Attractor, Chaos, Hyperchaos, Control, Stability, Routh-Hurwitz Theorem, Characteristic Polynomial
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.6 No.3,
March
16,
2016
ABSTRACT: In this case-study, we examine the effects of linear control on continuous dynamical systems that
exhibit chaotic behavior using the symbolic computer algebra system Mathematica. Stabilizing (or
controlling) higher-dimensional chaotic dynamical systems is generally a difficult problem, Musielak
and Musielak, [1]. We numerically illustrate that sometimes elementary approaches can
yield the desired numerical results with two different continuous higher order dynamical systems
that exhibit chaotic behavior, the Lorenz equations and the Rössler attractor.