  We consider regulated curves in a Banach bundle whose projection on the basis
is continuous with regulated derivative. We build a Banach manifold structure
on the set of such curves. This result was previously obtained for the case of
strong Riemannian Banach manifold and absolutely continuous curves in
arXiv:1612.02604. The essential argument used was the existence of a "local
addition" on such a manifold. Our proof is true for any Banach manifold. In the
second part of the paper the problems of controllability will be discussed.
