The braking system includes a first and a second braking actuators associated with wheels of a respective axle or a respective bogie of a railway vehicle and to which there are connected a first electro-pneumatic control assembly and a second electro-pneumatic control assembly respectively, each comprising a charging solenoid valve and a discharging solenoid valve adapted to cause an increase and a reduction, respectively, of a pneumatic pressure supplied to the corresponding braking actuators, and a control unit arranged to control the electro-pneumatic control assemblies as a function of a target braking pressure, so that the assemblies cause the application of respective pressures to the corresponding braking actuators.