Abstract
Based on the fractional calculus predictor-corrector algorithm and control design theory, generalized synchronization of dynamics of a chaotic system is investigated by linear or nonlinear feedback control, making the non-linear chaotic synchronization error system become linear systems, then synchronous controller was designed based on the stability theory of fractional linear systems [10], and the generalized synchronization of fractional order chaotic systems was fulfilled in different structures and the different order. The auxiliary system method is simple and effective. Detailed n umerical results verify the effectiveness of our proposed new scheme.
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