A railway vehicle, comprising an assembly of at least one car and comprising at least one bogie carrying the assembly, the assembly comprising at least one powered car comprising a traction device, the vehicle comprising a braking system comprising friction braking means equipping each bogie, and dynamic braking means formed by the traction device, the braking system comprising: - a single traction/braking control unit, allowing an overall braking command to be given, - a central braking unit, connected to the control unit so as to receive the overall braking command, and comprising: - means for calculating an overall braking force required to respond to the overall braking command, as a function of parameters of the railway vehicle influencing this overall braking force - means for calculating a dynamic braking force to be provided by the dynamic braking means, configured to establish whether the dynamic braking means are sufficient to provide the entire overall braking force and to give a dynamic braking force command corresponding to the overall braking force if the dynamic braking means are sufficient to ensure the entire overall braking force, and, if not, to give a dynamic braking force command equal to a maximum braking capacity of the dynamic braking means, and - means for calculating a braking force to be ensured by the friction braking means, configured to give a zero friction braking force command to the friction braking means if the dynamic braking means are sufficient to ensure the entirety of the overall braking force, and to give a friction braking force command corresponding to the difference between the overall braking force and the dynamic braking force in the opposite case, characterised in that the means for calculating a braking force to be provided by the friction braking means are configured to calculate the braking force to be provided by the friction braking means of each bogie (6, 7), these calculating means determining a separate command for each bogie. - a single traction/braking control unit, allowing an overall braking command to be given, - a central braking unit, connected to the control unit so as to receive the overall braking command, and comprising: - means for calculating an overall braking force required to respond to the overall braking command, as a function of parameters of the railway vehicle influencing this overall braking force - means for calculating a dynamic braking force to be provided by the dynamic braking means, configured to establish whether the dynamic braking means are sufficient to provide the entire overall braking force and to give a dynamic braking force command corresponding to the overall braking force if the dynamic braking means are sufficient to ensure the entire overall braking force, and, if not, to give a dynamic braking force command equal to a maximum braking capacity of the dynamic braking means, and - means for calculating a braking force to be ensured by the friction braking means, configured to give a zero friction braking force command to the friction braking means if the dynamic braking means are sufficient to ensure the entirety of the overall braking force, and to give a friction braking force command corresponding to the difference between the overall braking force and the dynamic braking force in the opposite case, - means for calculating an overall braking force required to respond to the overall braking command, as a function of parameters of the railway vehicle influencing this overall braking force - means for calculating a dynamic braking force to be provided by the dynamic braking means, configured to establish whether the dynamic braking means are sufficient to provide the entire overall braking force and to give a dynamic braking force command corresponding to the overall braking force if the dynamic braking means are sufficient to ensure the entire overall braking force, and, if not, to give a dynamic braking force command equal to a maximum braking capacity of the dynamic braking means, and - means for calculating a braking force to be ensured by the friction braking means, configured to give a zero friction braking force command to the friction braking means if the dynamic braking means are sufficient to ensure the entirety of the overall braking force, and to give a friction braking force command corresponding to the difference between the overall braking force and the dynamic braking force in the opposite case,