The notion of vehicles moving in platoons is of considerable interest when seeking to decrease traffic congestion and gas consumption. This usually means automated operation in longitudinal and possibly lateral direction. This report focuses on the lateral dynamics and control of a vehicle platoon following a leader in the lateral direction. A thorough system modelling and analysis is conducted and different classical control approaches discussed. It is noted that overshoot cannot be avoided in the system when using reasonable feedback controllers, due to the inherent characteristics of the plant. The concept of string stability (i.e damping the propagation of errors in the platoon) is covered along with different communication topologies, which under certain assumptions will guarantee stability. It is noted that solely communicating the preceding vehicle's lateral error will not result in string stability. A novel compensation is introduced taking into account information from several vehicles, which is proven to give a string stable system.