Seminarium KMMF "Teoria Dwoistości"

We will state the Pontryagin Maximum Principle (PMP) and show some of itsconsequences. As a first order necessary condition for optimalityit allows finding extremals in optimal control problems. It is also a basic tool for analyzing their properties. In the second part of the seminar we intend to describe some fundamentalnotions and facts in sub-Riemannian geometry. Applying PMP we will brieflydescribe the structure of geodesics, especially of abnormal ones which do not appearin Riemannian geometry.