The main objective of this Thesis is to analyse the numerical modelling of actuation systems for aeronautical applications, in particular for aircraft flight control. The Thesis involves the simulation of these system models in two different development environments, Elements and Simulink, with a comparison of the results. Elements is a brand new simulation tool, which was explored in depth during an internship at Hexagon MSC Software offices. Instead, the aim of this Thesis is to compare existing actuation system models developed in Simulink, a tool already established in the academic and industrial context, with the results provided by Elements simulations. After a necessary introduction on the field of interest, such as Systems Engineering and the different simulation environments, a chapter focusing on the theory of flight controls and aircraft actuation systems is submitted.