Article
Stabilizing the Lorenz Flows Using a Closed Loop Quotient Controller
Open Journal of Applied Sciences
Document Type
Article
Publication Date
8-31-2016
DOI
10.4236/ojapps.2016.68056
Disciplines
- Education and
- Mathematics
Abstract
In this study, we introduce a closed loop quotient controller into the three-dimensional Lorenz system. We then compute the equilibrium points and analyze their local stability. We use several examples to illustrate how cross-sections of the basins of attraction for the equilibrium points look for various parameter values. We then provided numerical evidence that with the controller, the controlled Lorenz system cannot exhibit chaos if the equilibrium points are locally stable.
Citation Information
James P. Braselton and Yan Wu. "Stabilizing the Lorenz Flows Using a Closed Loop Quotient Controller" Open Journal of Applied Sciences Vol. 6 Iss. 8 (2016) p. 1 - 19 ISSN: 2165-3917 Available at: http://works.bepress.com/yan_wu/39/
Copyright © 2016 by authors and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY). It was retrieved from the Open Journal of Applied Sciences.