Chaotic synchronization of labyrinth systems

This paper focuses on master-slave synchronization for two identical chaotic labyrinth systems with different initial conditions by using time-delay feedback control. By employing the differential mean value theorem to deal with the nonlinear term of the error system, the error system is modeled as a polytopic system. Applying a delay decomposition approach, a delay-dependent synchronization criterion is established and formulated in the form of linear matrix inequalities (LMIs). A sufficient condition about the existence of a time delay feedback controller is derived by employing this newly-obtained synchronization criterion. The controller gain can be achieved by solving a set of LMIs. One simulation example is used to illustrate the effectiveness of the synchronization criterion and the design method.