Control and Synchronization of the Fractional‐Order Lorenz Chaotic System via Fractional‐Order Derivative

Abstract

The unstable equilibrium points of the fractional‐order Lorenz chaotic system can be controlled via fractional‐order derivative, and chaos synchronization for the fractional‐order Lorenz chaotic system can be achieved via fractional‐order derivative. The control and synchronization technique, based on stability theory of fractional‐order systems, is simple and theoretically rigorous. The numerical simulations demonstrate the validity and feasibility of the proposed method.