Controlling Hyperchaotic Finance System with Combining Passive and Feedback Controllers

  • Uğur Erkin Kocamaz Uludağ University, Department of Computer Technologies, Vocational School of Karacabey
  • Alper Göksu Sakarya University, Department of Industrial Engineering, Faculty of Engineering
  • Yılmaz Uyaroğlu Sakarya University, Department of Electrical & Electronics Engineering, Faculty of Engineering
  • Harun Taşkın Sakarya University, Department of Industrial Engineering, Faculty of Engineering
Keywords: hyperchaotic finance system, passive control, speed feedback control, linear feedback control, dislocated feedback control, chaos control

Abstract

In this paper, a novel control method that combines passive, linear feedback, and dislocated feedback control methods is proposed and applied to the control of the four-dimensional hyperchaotic finance system which has been introduced and controlled with the linear feedback and speed feedback control methods by Yu, Cai, and Li (2012). The stability of the hyperchaotic finance system at its equilibrium points is ensured on the basis of a Lyapunov function. Computer simulations are used for verifying all the theoretical analyses visually. In the simulations, the proposed control method is also compared with the speed feedback and linear feedback control methods to observe its effectiveness and the results are discussed.

DOI: http://dx.doi.org/10.5755/j01.itc.47.1.16898

Published
2018-02-05
Section
Articles