Synchronization of a Class of Hidden and Self-Excited Attractors Via Fractional-Order Sliding Mode Control

In this contribution, we address the problem of synchronizing for a class of fractional-order chaotic systems with different families of hidden and self-excited attractors by considering a fractional-order sliding mode control law. Based on the stability theory of fractional-order systems, some basic dynamical properties are studied, Lyapunov exponents, strange attractors, and Kaplan-Yorke dimension of the chaotic system. According to Lyapunov stability theory and sliding mode control method, stability analysis is carried out. Finally, numerical simulations verify the effectiveness and correctness of the control strategy.