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Anticipating synchronization of a class of chaotic systems.

This paper studies the anticipating synchronization of a class of coupled chaotic systems. The asymptotic stability and exponential stability criteria for the involved error dynamical system are established by means of model transformation incorporated with Lyapunov-Krasovskii functional and linear matrix inequality. Based on the proposed stability conditions the coupling strength is then explicitly designed in terms of system parameters and anticipating time. Numerical simulations are presented to verify the theoretical results.