Hybrid Synchronization of Hyperchaotic Lü System Based on Passive Control

Abstract

In this paper, based on passivity theory, coexistence of anti-synchronization and complete synchronization is found between two identical hyper chaotic Lu systems with different initial conditions. The passive controller is employed to make the error dynamical system not only passive but also asymptotically stable. Numerical simulation results illustrate that the designed controller can realize anti-synchronization of three pairs of states and complete synchronization of the remaining one pair.