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Observer-based adaptive fuzzy synchronization for hyperchaotic systems.

In this paper, the synchronization problem of hyperchaotic systems is investigated. An adaptive fuzzy observer is proposed based on the Takagi-Sugeno fuzzy model. Theoretical analysis based on Lyapunov stability theory is provided to verify the feasibility of the proposed synchronization scheme. Numerical simulation of the hyperchaotic Lü system is given to demonstrate the application of the proposed scheme. The form of the proposed scheme is simple, and it is general and robust.