Designing synchronization schemes for fractional-order chaotic system via a single state fractional-order controller |
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Authors: | Tianzeng Li Yu Wang Yong Yang |
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Affiliation: | School of Science, Sichuan University of Science and Engineering, Zigong 643000, China |
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Abstract: | In this paper the synchronization of fractional-order chaotic systems is studied and a new single state fractional-order chaotic controller for chaos synchronization is presented based on the Lyapunov stability theory. The proposed synchronized method can apply to an arbitrary three-dimensional fractional chaotic system whether the system is incommensurate or commensurate. This approach is universal, simple and theoretically rigorous. Numerical simulations of several fractional-order chaotic systems demonstrate the universality and the effectiveness of the proposed method. |
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Keywords: | Fractional-order chaotic system Synchronization Fractional-order controller Dynamic systems |
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