Synchronization of chaotic Liouvillian systems: An application to Chua’s oscillator

In this paper we deal with the synchronization of chaotic oscillators with Liouvillian properties (chaotic Liouvillian system) based on nonlinear observer design. The strategy consists of proposing a polynomial observer (slave system) which tends to follow exponentially the chaotic oscillator (master system). The proposed technique is applied in the synchronization of Chua’s circuit using Matlab-Simulink® and Matlab®-LMI programs. Simulation results are used to visualize and illustrate the effectiveness of Chua’s oscillator in synchronization.