This course introduces students to some of the basic ideas of differential geometry which are important
in the analysis and design of nonlinear systems. The main focus is on applications in control but also problems in mechanics
and optimization are considered. Some of the topics covered in this course are:
Vector fields, flows, Lie brackets
Calculus on manifolds
Matrix Lie groups
Applications to control, mechanics and optimization (e.g. controllability, observability, exact linearization, output regulation, eigenvalue computation, optimization on manifolds)
The course is given in English.
Prequisites: RT1 and RT2 required.