Title: Local Controllability and Semigroups of Diffeomorphisms
Authors: A.A. Agrachev, R.V. Gamkrelidze
Journal title: Acta Applicandae Mathematicae
Year: 1993
Volume: 32
Pages: 1-57
Abstract:

The local structure of orbits of semigroups, generated by families of diffeomorphisms, is studied by Lie theory methods. New sufficient conditions for local controllability are obtained which take into account ordinary, as well as fast-switching variations.