The ℋ∞ synchronization of nonlinear Bloch systems via dynamic feedback control approach

We consider an ∞ 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 ∞ norm constraint. A numerical example is given to validate the proposed synchronization scheme.

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