Synchronization and secure communication using non-linear state observers

We address the problem of synchronization and secure communication for a class of non-linear systems with application to chaotic models. The proposed approach is based on generalized state space observer design. By means of regular transformations we show that asymptotic stability is assured under mild conditions. To show the accuracy and high performances of the proposed method, the well-known chaotic Lorentz system is considered as an illustrative example.