On anti-synchronization of chaotic systems via nonlinear control

Based on the nonlinear control and Lyapunov stability theory, the anti-synchronization between two identical and different chaotic systems is investigated, where the antisynchronization can be characterized by the vanishing of the sum of relevant variables in chaotic systems, such that the Lü system is controlled to be the Lorenz system. Theoretical analysis and numerical simulations are shown to verify the results.