Stabilization of a Modified Chaotic Finance System

Abstract

in this paper, speed feedback controllers, linear feedback controllers and adaptive controllers are designed for stabilizing chaos of a modified chaotic finance system to unstable equilibrium points. The Lyapunov theorem and Routh-Hurwitz criterion are used to analyze the gain's scope of the controlled system and study the asymptotic stability at the equilibrium point. The effectiveness of the three different methods is illustrated by theoretical analysis and numerical simulations.