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Robust adaptive modified function projective synchronization of different hyperchaotic systems subject to external disturbance. (English) Zbl 1248.93089
Summary: Robust adaptive modified function projective synchronization between two different hyperchaotic systems is investigated where external uncertainties are considered and the scale factors are different from each other. A synchronization criterion is presented, which can be realized by adaptive feedback controller with compensator to eliminate the influence of uncertainties effectively. The update laws of the unknown parameters are given and the sufficient conditions are deduced based on stability theory and adaptive control. Some mistakes in previous works are pointed out and revised. Finally, the hyperchaotic Lü and new hyperchaotic Lorenz systems are taken for example and numerical simulations are presented to verify the effectiveness and robustness of the proposed control scheme.

MSC:
93C40 Adaptive control/observation systems
93C73 Perturbations in control/observation systems
93C15 Control/observation systems governed by ordinary differential equations
34D06 Synchronization of solutions to ordinary differential equations
37N35 Dynamical systems in control
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