GA optimized time delayed feedback control of chaos in a memristor based chaotic circuit

Abstract

Chaotic state of a nonlinear system may be harmful due to its extreme sensitivity to initial conditions and irregularity in behavior. This paper addresses the problem of controlling chaos in a memristor based chaotic circuit using time delayed feedback method. Genetic algorithm has been used as a search tool to optimize the feedback path gain. Extensive computer simulations demonstrate that successful chaos control can be achieved by using this scheme, leading the system's chaotic state towards a fixed point or sustained oscillations depending on the range of feedback gain values.