Control and Stabilization of Dynamical Chaotic Systems
Résumé
In this paper, we present a new method for nonlinear control and stabilization of chaos based on the synchronization technique. The idea behind is to synchronize a slave chaotic system with a master stable system. The stability proof is carried out using the linearization method. The two cases of continuous and discrete systems are considered and the synchronization is made between identical and different systems. Theoretical proofs and numerical simulations are given to validate the proposed approach and to illustrate its efficiency.