Adaptive H∞ Synchronization for Chaotic Systems with Unknown Parameters and Time-Delay

This paper proposes a new adaptive H-infinity synchronization method for time-delayed chaotic systems with unknown parameters. Based on Lyapunov-Krasovskii stability theory and linear matrix inequality (LMI) approach, a sufficient condition is derived to ensure that the proposed controller reduces the effect of external disturbance to an H-infinity norm constraint. Moreover, this synchronization controller guarantees the adaptive synchronization of time-delayed chaotic systems when the external disturbance disappears. Finally, a numerical example with its computer simulations is provided to illustrate and verify the effectiveness of the proposed synchronization scheme.