Adaptive Synchronization of Lorenz System and Third-order CNN with Uncertain Parameters

This work presents chaos synchronization between the uncertain chaotic Lorenz system and the certain chaotic third-order Cellular Neural Networks (CNN) via adaptive control. Based on Lyapunov stability theory, an adaptive controller and parameters estimation update laws for unknown parameters are given such that the two different chaotic systems are to be synchronized globally and asymptotically. Theoretical analysis and numerical simulations are shown to verify the results.