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Adaptive synchronization of uncertain unified chaotic systems via novel feedback controls. (English) Zbl 1347.93137
Summary: This paper is concerned with the robust adaptive synchronization problem for unified chaotic systems with parameter variation, system uncertainties, and external disturbances. By combining adaptive method and positive time-varying integral functions, novel adaptive synchronization schemes are proposed. It is shown that the synchronization errors between the drive and response chaotic systems converge to zero asymptotically. Finally, illustrative examples about Lorenz chaotic system, Chen chaotic system, and Lü chaotic system are provided to demonstrate the effectiveness and applicability of the proposed design method.

93B52 Feedback control
34D06 Synchronization of solutions to ordinary differential equations
93C40 Adaptive control/observation systems
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93C73 Perturbations in control/observation systems
Full Text: DOI
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