Abstract
This work deals with the synchronization of a class of underactuated hyperchaotic systems. The proposed method is based on Lyapunov theory, and it assumes a small initial synchronization error to simplify the synchronizer structure. The proposed synchronization method ensures the convergence of the synchronization error to a neighborhood of the origin, even employing a scalar proportional control law and in the presence of full-state disturbances. A comparison study is accomplished to depict the advantages of the proposed method. Furthermore, a secure communication system based on the proposed synchronization approach is implemented using analog electronics to show a typical application.
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