Synchronization of Two Chaotic Fly-Ball Systems via Sinusoidal Feedback Control

A sinusoidal feedback control is used to synchronize two coupling chaotic fly-ball systems. Some sufficient synchronization criteria in the form of a few algebraic inequalities are obtained by the Lyapunov direct method and Gerschgorin disc theorem. The property that similar matrices have the same eigenvalues is applied to get more flexible criteria. Numerical simulations are given to support our theoretical.