The \mathscrH_\infty synchronization of nonlinear Bloch systems via dynamic feedback control approach

We consider an \mathscrH_\infty synchronization problem in nonlinear Bloch systems. Based on Lyapunov stability theory and linear matrix inequality formulation, a dynamic feedback controller is designed to guarantee asymptotic stability of the master-slave synchronization. Moreover, this controller reduces the effect of an external disturbance to the \mathscrH_\infty norm constraint. A numerical example is given to validate the proposed synchronization scheme.