Generalized synchronization of different dimensional integer-order and fractional order chaotic systems

Abstract

In this work different control schemes are proposed to study the problem of generalized synchronization (GS) between integer-order and fractionalorder chaotic systems with different dimensions. Based on Lyapunov stability theory of integer-order differential systems, fractional Lyapunov-based approach and nonlinear controllers, different criterions are derived to achieve generalized synchronization. The effectiveness of the proposed control schemes are verified by numerical examples and computer simulations. © Springer International Publishing AG 2017. All rights reserved.

Authors

Ouannas A., Azar A.T., Ziar T., Radwan A.G.

Source

Fractional Order Control and Synchronization of Chaotic Systems, Doi:10.1007/978-3-319-50249-6_23

Document Type

Book Chapter

Scopus Link

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