Problems and methods of geometric control theory

A review talk on geometric control theory will focus on the following issues:
• Examples of applied optimal control problems,
• Basic general problems and concepts of mathematical control theory,
• Orbit theorem, Rashevskii-Chow theorem, Krener’s theorem,
• Pontryagin maximum principle,
• Examples of solutions to optimal control problems,
• Applications to image processing and robotics.
Literature
[1] Agrachev A.A., Sachkov Yu.L. Control Theory from the Geometric Viewpoint. Springer, 2004
[2] Sachkov Yu.L. Introduction to geometric control. Springer, 2022