A Passivity Based Synchronization for Chaotic Behavior in Nonlinear BlochEquations

We propose a new passivity based synchronization scheme for chaotic behavior in nonlinear Bloch equations. Based on the Lyapunov theory and linear matrix inequality (LMI) approach, for the first time, the passivity based controller is presented to guarantee stable synchronization. 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.