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This paper presents hyperchaos anti -synchronization of different hyperchaotic systems using Active Generalized Backstepping Method (AGBM). The proposed technique is applied to achieve hyperchaos anti synchronization for the Lorenz and Lu dynamical systems.Generalized Backstepping Method (GBM) is similarity to Backstepping and moreapplications in systems than it. Bckstepping method is used only to strictly feedback systems but GBM expand this class. The hybrid active control method and generalized backstepping method forces the system error to decay to zero rapidly that it causes t he system to have a short setteling time, overshoot.

Anti-Synchronizaton of Two Different Hyperchaotic Systems via Active Generalized Backstepping Method