Secure Communications in the Presence of Disturbances Based on Lyapunov Theory

This work presents an approach for secure communication based on underactuated synchronization of a three-dimensional chaotic system recently introduced in the literature. Lyapunov theory is used to demonstrate the effectiveness of the proposed system, ensuring that the synchronization error is bounded and achieves convergence in finite time, even in the presence of bounded disturbances. Additionally, the study includes computer simulations based on Matlab/Simulink to validate the proposed system, encompassing the master-slave synchronization and the implementation of a secure communication scheme.