Linear and Non-linear Feedback Control Strategies for a 4D Hyperchaotic System
Pure and Applied Mathematics Journal
Volume 6, Issue 1, February 2017, Pages: 5-13
Received: Jan. 1, 2017; Accepted: Jan. 13, 2017; Published: Feb. 16, 2017
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Authors
Maysoon M. Aziz, Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq
Saad Fawzi AL-Azzawi, Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq
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Abstract
This paper investigates the stabilization of unstable equilibrium for a 4D hyperchaotic system. The linear, non-linear and speed feedback controls are used to suppress hyperchaos to this equilibrium. The Routh-Hurwitz theorem and Lyapunov's second methods are used to derive the conditions of the asymptotic stability of the controlled hyperchaotic system. Theoretical analysis, numerical simulation and illustrative examples are given to demonstrate the effectiveness of the proposed controllers.
Keywords
Chaos Control, Linear Feedback Control, Non-linear Feedback Control, Routh-Hurwitz Method, Lyapunov's Second Method
To cite this article
Maysoon M. Aziz, Saad Fawzi AL-Azzawi, Linear and Non-linear Feedback Control Strategies for a 4D Hyperchaotic System, Pure and Applied Mathematics Journal. Vol. 6, No. 1, 2017, pp. 5-13. doi: 10.11648/j.pamj.20170601.12
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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