H∞ Chaos Synchronization for Nonlinear Bloch Equations

In this paper, we propose a new H-infinity synchronization scheme for chaotic behavior in nonlinear Bloch equations with external disturbance. Based on the Lyapunov theory and the linear matrix inequality (LMI) approach, the H-infinity synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturbance to an H-infinity norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by an LMI. A numerical example is given to demonstrate the effectiveness of the proposed synchronization scheme.