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publication name Boulkroune A, Bouzeriba A., Bouden T, Azar A.T (2016). Fuzzy Adaptive Synchronization of Uncertain Fractional-order Chaotic Systems. Advances in Chaos Theory and Intelligent Control. Studies in Fuzziness and Soft Computing, Vol. 337, Springer-Verlag, Germany.
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year 2016
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Paper Link http://link.springer.com/chapter/10.1007/978-3-319-30340-6_28
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Abstract

In this chapter, a fuzzy adaptive controller for a class of fractional-order chaotic systems with uncertain dynamics and external disturbances is proposed to realize a practical projective synchronization. The adaptive fuzzy systems are used to online approximate unknown system nonlinearities. The proposed control law, which is derived based on a Lyapunov approach, is continuous and ensures the stability of the closed-loop system and the convergence of the underlying synchronization errors to a neighborhood of zero. Finally, a simulation example is provided to verify the effectiveness of the proposed synchronization method.

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