Adaptive control and synchronization of a novel hyperchaotic system with uncertain parameters

In this paper, the problems of control and synchronization of a novel hyperchaotic system with uncertain parameters are studied. Based on the Lyapunov stability theory and the adaptive control theory, this uncertain hyperchaotic system is suppressed to its unstable equilibrium. Furthermore, synchronization between two identical uncertain hyperchaotic systems is achieved by proposing an adaptive control law and a parameter estimation update law. Numerical simulations are presented to demonstrate the analytical results.