An H∞H∞ approach to anti-synchronization for chaotic systems

In this Letter, we propose a new H∞H∞ anti-synchronization scheme for a general class of chaotic systems. Based on Lyapunov theory and linear matrix inequality (LMI) approach, for the first time, the H∞H∞ anti-synchronization controller is presented to not only guarantee stable anti-synchronization but also reduce the effect of external disturbance to an H∞H∞ norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation study is presented to demonstrate the effectiveness of the proposed anti-synchronization scheme.