Abstract
This letter deals with the synchronization of discrete-time chaotic systems. Based on the Lyapunov method, we present a new control method that guarantees that the synchronized states are asymptotically stable. The controller consists of two parts: one is a linear dynamic controller, and the other is a nonlinear control law for compensating the nonlinear terms of the error signal. Then, the existence criterion of the controller for the synchronization is derived. The criterion is expressed as a linear matrix inequality (LMI), readily solvable by various convex optimization algorithms.
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