A braking system (200) is described for at least one vehicle (V), particularly at least one railway vehicle, comprising control means arranged to: a) determine a real instantaneous deceleration value of the vehicle during the actuation of braking means (202); b) determine a real friction value between braking means and at least one wheel or at least one disc, as a function of at least said real instantaneous deceleration value, a test mass value of the vehicle and a value of an actuation signal; c) replace a predetermined expected friction value stored in the storage medium (210, 210) with the determined real friction value.

Further described is a system for calibrating a braking system of at least one vehicle, and a process for calibrating a braking system of at least one vehicle (V), and vehicles.

A method for determining a continuous braking power for a vehicle, in particular a commercial vehicle, the method having the steps: determining an ambient temperature; determining a speed, wherein the speed is representative of the speed of the vehicle, in particular the commercial vehicle; determining a thermal emission per unit time of a friction braking device on the basis of the ambient temperature and the speed; and determining the continuous braking power of the friction braking device on the basis of the thermal emission per unit time.