Geometric control theory

1. Some open problems in geometric control theory
   Reference: Fundamental problems of geometric control theory
2. Necessary and sufficient conditions for controllability of homogeneous systems
   Reference: Small-time local controllability of homogeneous systems
3. A beautiful geometric formulation of stabilisation using linearisation
   Reference: Geometric Jacobian linearization and LQR theory
4. A feedback-invariant formulation for control-affine systems, and a manner, using jet bundle geometry, for generating variations of trajectories
   Reference: Jet bundles and algebro-geometric characterisations for controllability of affine systems
5. An example where the geometry of the system plays an interesting part in stabilisation
   Reference: An example with interesting controllability and stabilisation properties
6. The geometry of Jacobian linearisation and controllability of linearisation along a trajectory
   Reference: Jacobian linearisation in a geometric setting
7. Have you ever wondered what sliding mode control is? I did
   Reference: Geometric sliding mode control: The linear and linearised theory
8. A method, based on the Campbell-Baker-Hausdorff formula, for generating a large class of control variations
   Reference: Local controllability of families of vector fields
9. A general setting for control, and second-order controllability conditions within this framework
   Reference: Geometric local controllability: second-order conditions