On some aspects of platoon control problems

In Jovanavic and Bamieh a comparison was made between the LQR control of a long, finite platoon and of an infinite version. They also argue that ¿the infinite platoons capture the essence of the large-but-finite platoons¿. We construct examples for which this does not happen. Hence the infinite-dimensional platoon model does not always serve as useful paradigm for the finite platoon model as it becomes increasingly long. It is clear that ones needs extra assumptions. In this paper we also provide some positive results.