Synchronization of hyperchaotic Liu system via backstepping control with recursive feedback

Abstract

This paper investigates the backstepping control design with recursive feedback input approach for achieving global chaos synchronization of identical hyperchaotic Liu systems(2001). Our theorem on global chaos synchronization for hyperchaotic Liu systems is established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the backstepping control method is effective and convenient to synchronize the hyperchaotic Liu systems. Numerical simulations are also given to illustrate the synchronization results derived in this paper. © 2012 Springer-Verlag.