Controlling Hyperchaotic Finance System with Combining Passive and Feedback Controllers


KOCAMAZ U. E. , GÖKSU A., UYAROĞLU Y., TAŞKIN H.

INFORMATION TECHNOLOGY AND CONTROL, vol.47, no.1, pp.45-55, 2018 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.5755/j01.itc.47.1.16898
  • Title of Journal : INFORMATION TECHNOLOGY AND CONTROL
  • Page Numbers: pp.45-55
  • Keywords: Hyperchaotic finance system, passive control, speed feedback control, linear feedback control, dislocated feedback control, chaos control, BIFURCATION TOPOLOGICAL-STRUCTURE, GLOBAL COMPLICATED CHARACTER, SLIDING MODE, SYNCHRONIZATION, CHAOS, KIND

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. Finally, the comparative findings are discussed.