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

Abstract EN

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.