Geometry of control systems and distributions, feedback invariants
| 1. Vector fields, Lie bracket, distributions, involutive distributions. |
| 2. State and feedback equivalence. Feedback linearizable systems. |
| 3. Classification of singularities of control systems in the plane. Bifurcations. |
| 4. Local equivalence of families of vector fields and invariants. Cartan's method of graph. |
| 5. Contact distributions and their singularities. |
| 6. Singularities of general distributions. Hamiltonian formalism and characteristic curves (abnormal curves) |
| 7. Hamiltonian description of general control systems. Singularities of the Hamiltonian. Critical Hamiltonians. |
| 8. Microlocal and local feedback invariants via critical Hamiltonians and symbols. |