Course Material

Course Structure (2015)

(26 lectures) 

Part I : Left-Invariant Control Systems

Part II : Extension Techniques and Induced Systems

Part III : Controllability

Double-Lectures/Sessions

(Left-invariant control systems)

 1 : Matrix Lie groups (and their Lie algebras)

 2 : Left-invariant vector fields

 3 : Left-invariant control systems

 4 : Orbits and reachable/attainable sets

 5 : Normal attainability

 6 : General controllability conditions

(Extension techniques and induced systems)

 7 : Saturate

 8 : Lie saturate of invariant system

 9 : Induced systems on homogeneous spaces

(Controllability)

 10 : Symmetric spaces. Compact Lie groups

 11 : Semisimple Lie groups

 12 : Solvable Lie groups

 13 : Semi-direct products of Lie groups

Last Modified: Thu, 26 Feb 2015 09:24:06 SAST