Discrete-time dynamic systems synchronization: Information transmission and model matching

Some recently published results have highlighted the role of synchronization phenomena in recovering perturbation signals injected in nonlinear continuous-time oscillators. In the present contribution, those results are extended to the realm of discrete-time systems. It is also shown that the synchronization of nonlinear discrete-time systems provide very interesting ramifications to the problem of measuring the discrepancy between mathematical models and the corresponding original dynamical system from which the data were measured. Moreover, the noise impact on the proposed approach is discussed.