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See detailObserver-Based Approach for Fractional-Order Chaotic Synchronization and Secure Communication
Ndoye, Ibrahima UL; Voos, Holger UL; Darouach, Mohamed

in IEEE Journal on Emerging and Selected Topics in Circuits and Systems (2013), 3(3), 442-450

This paper presents a method based on the state observer design for constructing a chaotically synchronized systems. Fractional-order direct Lyapunov theorem is used to derive the closed-loop asymptotic ... [more ▼]

This paper presents a method based on the state observer design for constructing a chaotically synchronized systems. Fractional-order direct Lyapunov theorem is used to derive the closed-loop asymptotic stability. The gains of the observer and observer-based controller are obtained in terms of linear matrix inequalities (LMIs) formulation. The proposed approach is then applied to secure communications. The method combines chaotic masking and chaotic modulation, where the information signal is injected into the transmitter and simultaneously transmitted to the receiver. Chaotic synchronization and chaotic communication are achieved simultaneously via a state observer design technique. The fractional-order chaotic Lorenz and Lü systems are given to demonstrate the applicability of the proposed approach. [less ▲]

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