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• W2762040102 abstract "In this paper the synchronization of fractional-order chaotic systems and a new property of fractional derivatives are studied. Then we propose a new fractional-order extension of Lyapunov direct method to control the fractional-order chaotic systems. A new synchronization method and a linear feedback controller are given to achieve the synchronization of fractional-order chaotic systems based on a simple Lyapunov candidate function. The proposed synchronization method can be applied to the synchronization of an arbitrary fractional-order chaotic system. This method is universal, simple, and theoretically rigorous. Numerical simulations of three fractional-order chaotic systems to verify the effectiveness and the universality of the proposed method." @default.
• W2762040102 created "2017-10-20" @default.
• W2762040102 creator A5015417306 @default.
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• W2762040102 date "2017-10-02" @default.
• W2762040102 modified "2023-09-26" @default.
• W2762040102 title "Synchronization of fractional chaotic systems based on a simple Lyapunov function" @default.
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• W2762040102 doi "https://doi.org/10.1186/s13662-017-1320-1" @default.
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