Observer-Based Synchronization of a New Hybrid Chaotic System and Its Application to Secure Communications

This paper presents an interesting issue of using hybrid dynamical system to chaos synchronization and its application in secure communication using a new 5D hyperchaotic systems. The slave system is modeled by an unknown input observer, in which the unknown input issued from the hybrid system is the transmitted information. Based on the descriptor observer design, the Lyapunov stability theory and some robustness criteria, new sufficient synthesis conditions are given in terms of linear matrix inequalities that we can obtain the estimations of both the hybrid system states and the transmitted signals. Numerical examples are provided to show the performances of the proposed approach.