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.