Adaptive synchronization of uncertain and delayed chaotic systems with its circuit realization

The asymptotic synchronization problem of a class of uncertain and delayed chaotic systems is addressed with adaptive compensation designs in this paper. General uncertainties on systems and time-delays in the coupling network are eliminated by the adaptive control scheme, as well as its circuit realization are proposed. Then, an approach that is based on application of Lyapunov stability theory for the synchronization error system with adaptive parameters is introduced to prove the asymptotic synchronization result of the overall chaotic system. Finally, the proposed adaptive schemes are physically implemented by circuits and tested by simulation on a Chua´s circuit network.