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Active sliding observer scheme based fractional chaos synchronization. (English) Zbl 1253.34056
Summary: A novel observer scheme is proposed for the synchronization of fractional-order chaotic systems. Our approach employs a combination of a classical sliding observer and an active observer, where the active observer serves to increase the attraction strength of the sliding surface. Using the theory of Lyapunov functions, synchronization of the fractional order response with the fractional-order drive system is achieved in both ideal and mismatched cases. By using fractional-order differentiation and integration, it is proved that state synchronization is established in a finite time. Numerical simulations are presented to verify the effectiveness of the proposed observer.

MSC:
34H10Chaos control (ODE)
34A08Fractional differential equations
34D06Synchronization
93B07Observability
34C28Complex behavior, chaotic systems (ODE)
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References:
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