A service and emergency braking control system for at least one railway vehicle, wherein each railway vehicle comprises a plurality of axles arranged to be braked by a respective braking torque generated by braking means; said braking control system including a plurality of braking control modules, each of which being predisposed for: - controlling at least one respective axle of a railway vehicle; - receiving a deceleration request signal common to all braking control modules and which is arranged to indicate a deceleration target value of the at least one railway vehicle that has to be reached, an instantaneous deceleration signal arranged to indicate an instantaneous deceleration value of the at least one railway vehicle and a signal of achievement of the maximum available adhesion arranged to indicate the achievement of the maximum adhesion available by an axle controlled by said braking control module; - generating, independently from any other braking control module, a braking torque request signal according to the deceleration request signal and a weight signal indicative of the weight acting on an axle or on a bogie or on a carriage of the railway vehicle including the axle controlled by said braking control module, and providing said braking torque request signal to a braking means, associated with an axle of the railway vehicle controlled by said braking control module; said braking means being arranged to convert the value of the braking torque request signal to a braking torque having a determined braking torque value that is applied to an axle controlled by said braking control module in order to slow down the at least one railway vehicle; characterized in that the said applied braking torque reaching the determined braking torque value according to a first predetermined torque gradient; - if the instantaneous deceleration value is lower than the deceleration target value when the determined braking torque value is reached, varying the value of the braking torque request signal so as to increase the applied braking torque that is converted by the braking means, until the instantaneous deceleration value indicated by the instantaneous deceleration signal, that is received by the braking control module, reaches the target deceleration value of the at least one railway vehicle indicated by the deceleration request signal, or until the signal of achievement of the maximum available adhesion has indicated the achievement of the maximum adhesion available by an axle controlled by said braking control module; the applied braking torque being increased in accordance with a second predetermined torque gradient. - controlling at least one respective axle of a railway vehicle; - receiving a deceleration request signal common to all braking control modules and which is arranged to indicate a deceleration target value of the at least one railway vehicle that has to be reached, an instantaneous deceleration signal arranged to indicate an instantaneous deceleration value of the at least one railway vehicle and a signal of achievement of the maximum available adhesion arranged to indicate the achievement of the maximum adhesion available by an axle controlled by said braking control module; - generating, independently from any other braking control module, a braking torque request signal according to the deceleration request signal and a weight signal indicative of the weight acting on an axle or on a bogie or on a carriage of the railway vehicle including the axle controlled by said braking control module, and providing said braking torque request signal to a braking means, associated with an axle of the railway vehicle controlled by said braking control module; said braking means being arranged to convert the value of the braking torque request signal to a braking torque having a determined braking torque value that is applied to an axle controlled by said braking control module in order to slow down the at least one railway vehicle; characterized in that the said applied braking torque reaching the determined braking torque value according to a first predetermined torque gradient; - if the instantaneous deceleration value is lower than the deceleration target value when the determined braking torque value is reached, varying the value of the braking torque request signal so as to increase the applied braking torque that is converted by the braking means, until the instantaneous deceleration value indicated by the instantaneous deceleration signal, that is received by the braking control module, reaches the target deceleration value of the at least one railway vehicle indicated by the deceleration request signal, or until the signal of achievement of the maximum available adhesion has indicated the achievement of the maximum adhesion available by an axle controlled by said braking control module; the applied braking torque being increased in accordance with a second predetermined torque gradient.