This paper examines the control and synchronization problems of hyperchaotic Lorenz-Stenflo system using backstepping technique with application to secure communication. The designed backstepping technique nonlinear feedback controller control globally synchronize two identical Lorenz-Stenflo hyperchaotic systems arising from different initial conditions. The designed recursive nonlinear backstepping controller is capable of stabilizing the Lorenz-Stenflo hyperchaotic system at any position. Also, it is capable to track a trajectory which is a smooth function of time. Backstepping synchronization results were further applied to secure communication. Finally, numerical simulation results were presented to verify the effectiveness and efficiency of the designed nonlinear backstepping controller and its success to secure communication application.

chaos, control, synchronization, secure communication.