The objective of this research school is to present a wide range of applications of the theory of finite-dimensional optimal control to engineering. First, we will pro pose a rigorous introduction to the theoretical basis of the theory with two courses (by F. Chittaro and L. Poggiolini) of Optimal Control completed with exercise sessions. Then, we will propose sev eral courses devoted to some applications of the previous courses to some problems in engeneering. The first course (by E.