A Linear Time-Varying Controller for Synchronization of LÜ Chaotic Systems With One Input

This brief addresses the problem of synchronization of two Lü chaotic systems. As opposed to nonlinear Lyapunov-based controllers, which are designed with the aim of rendering the derivative of a Lyapunov function negative along trajectories of the closed-loop system, control design exploits the natural stability properties of the system. The proof relies not only on basic Lyapunov stability theory but also on other concepts, such as persistency of excitation. The contribution with respect to other works is to show that one control input is enough to force synchronization; moreover, the controllers are linear time varying.