A nonlinear feedback approach for realizing any continuous time scalar (hyper) chaotic signal synchronization control

Based on the nonlinear control system theory and Lyapunov technique,we have designed a nonlinear feedback controller for controlling the scalar output signal of a smooth (hyper) chaotic system to synchronize with any continuo us time scalar (hyper) chaotic signal under some assumptions. The result,wh ich is global,is rigorously proved by means of Lyapunov theory. An applicat ion to the synchronization of two (hyper) chaotic systems is presented.