We investigate the transfer function emanating from linearization of a car-following model for human drivers when taking into account their reaction time, which is known to be cause stop-and-go traffic phenomenon. This leads nonrational function, implying nontrivial stability conditions are explicitly given. They in particular satisfied whenever string holds. also show how this time can introdu...

A recently proposed strategy for evaluating the string stability properties of longitudinal vehicle controllers used in Automated Highway Systems (AHS) is to consider the platoon as a mass-spring-damper system. This simpliied analysis framework results in linear closed-loop systems, yielding transfer functions which characterize the spacing error response of the platoon. These transfer function...