A Robust Underactuated Synchronizer for a Five-dimensional Hyperchaotic System: Applications for Secure Communication

This paper presents the synchronization of a class of hyperchaotic systems using a robust underactuated approach. The proposed scheme guarantees the convergence in finite time of the slave system trajectories to the master system based on Lyapunov theory. The main novelty of the method is its simplicity resulting from the underactuated strategy and its robustness due to the presence of disturbances in the stability analysis. Simulations are presented to show the performance of the proposed method and its advantages compared with another recent study in the literature. In addition, a secure communication example is considered to illustrate the simple application of the synchronizer.