Sliding mode control of hyperchaotic finance system

Abstract

This paper aims to control a hyperchaotic finance system which was introduced by Ding, Yang and Yao in 2009. The control of finance systems has great importance because it reduces the risks and facilitates stable economic growth. For this purpose, sliding mode control of hyperchaotic finance system has been investigated. Time series from the hyperchaotic finance system are obtained with the phase space portraits. Based on the properties of sliding mode theory, controllers have been designed and added to the hyperchaotic finance system. Thereafter, the controlled finance system stabilizes towards its equilibrium points in the state space. Numerical simulations have been demonstrated to verify the feasibility of the proposed sliding mode control scheme.