Journal
NONLINEAR DYNAMICS
Volume 68, Issue 1-2, Pages 117-128Publisher
SPRINGER
DOI: 10.1007/s11071-011-0208-y
Keywords
Fractional-order systems; Chaos; Projective synchronization; Hyperchaotic Rossler system; Scalar synchronizing signal
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This paper introduces an observer-based approach to achieve projective synchronization in fractional-order chaotic systems using a scalar synchronizing signal. The proposed method, which enables a linear fractional error system to be obtained, exploits the Kalman decomposition and a proper stability criterion in order to stabilize the error dynamics at the origin. The approach combines three desirable features, that is, the theoretical foundation of the method, the adoption of a scalar synchronizing signal, and the exact analytical solution of the fractional error system written in terms of Mittag-Leffler function. Finally, the projective synchronization of the fractional-order hyperchaotic Rossler systems is illustrated in detail.
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