Adaptive Observer-Based Exact Synchronization of Mismatched Chaotic Systems

This paper proposes an adaptive observer-based synchronization of continuous-time chaotic systems. Our method concerns any chaotic system that comprises uncertainties. Using the Lyapunov stability theory, we show that the synchronization of two coupled chaotic systems can be achieved by means of a linear coupling. A remarkable feature of the proposed approach is that it is robust with respect to noise and parameter mismatch. Numerical simulation of the Chua's circuit verifies the efficiency and effectiveness of the proposed adaptive synchronization scheme.

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