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Computational and Applied Mathematics Journal

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Using Feedback Control Methods to Suppress a Modified Hyperchaotic Pan System

Computational and Applied Mathematics Journal
Vol.1 , No. 3, Publication Date: Apr. 25, 2015, Page: 97-106

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Authors

[1]	Maysoon M. Aziz, Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq.
[2]	Saad Fawzi AL-Azzawi, Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq.

Abstract

In this paper, we used four feedback control method to suppress a modified hyperchaotic Pan system to unstable equilibrium, and we found that the critical value for each method based on the Routh-Hurwitz theorem, we study the relationship between this value and asymptotically stable, unstable and Hopf Bifurcation. Finally, we found that the least complexity and cost of method depended only on the system's constants of critical value and do not depended on the method itself. Theoretical analysis, numerical simulation, illustrative examples and comparison are given to demonstrate the effectiveness of the proposed controllers.

Keywords

Modified Hyperchaotic Pan System, Ordinary Feedback Control, Dislocated Feedback Control, Speed Feedback Control, Enhancing Feedback Control, Routh-Hurwitz Method

Reference

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