Yuri Sachkov

Controllability of invariant systems on Lie groups and homogeneous systems

Part I: Introduction to right-invariant systems on Lie groups:

- Lie groups and right-invariant systems.

- Basic properties of attainable sets of invariant systems.

- Homogeneous spaces and bilinear systems.

- Symmetric invariant systems.

Part II: Invariant systems on particular classes of Lie groups:

- Compact Lie groups and semidirect products.

- Semisimple Lie groups.

- Nilpotent Lie groups.

- Solvable Lie groups.