A.A. Agrachev, On regularity properties of extremal controls

Title: On regularity properties of extremal controls
Authors: A.A. Agrachev
Journal title: J. Dynamical and Control Systems
Year: 1995
Volume: 1
Pages: 319-324
Abstract:

We prove some regularity properties of the optimal controls for the smooth bracket generating systems with scalar control parameters, and show that the Cantor sets cannot be sets of switching points.