Abstract: Tracking control of a hyperchaotic system called the Josephson-circuits-coupled Quantum Cellular Neural Network is studied. A tracking control method is proposed for this chaotic system and it is proved by means of the Lyapunov function that this method can make the system approach any desired smooth orbit at an exponential rate. The synchronization with R?ssler’s chaotic system is also presented. Numerical simulations are given to illustrate the effectiveness of the proposed method.

Key words: quantum cellular neural network, Josephson junction, tracking control, synchronization