Below is a list of publications of current/past members of the group, subdived by reserach field/topic. SISSA preprints can be found at the Functional Analysis main web page.

Lecture notes

• A. Agrachev (Editor), Mathematical Control Theory. ICTP Lecture Notes Series, vol VIII, 2001.


• A. Agrachev, Differential geometry of optimal control prolbems, Lectures delivered at the "Summer School on Mathematical Control Theory" Poland, 2 - 20 September, 2002.
  
• A. Bressan, Viscosity solutions of Hamilton-Jacobi equations and optimal control problems, an illustrated tutorial
  

Other Pubblications

• Controllability of nonlinear systems, in particular, global controllability of right-invariant systems on Lie groups and high-order conditions for local controllability.
• Approximation with nilpotent systems, series expansions of the input-output map.
• Feedback stabilization by discontinuous feedback with controlled singularities.
• Invariants and normal forms of nonlinear systems with respect to state and feedback transformations.
• Necessary and sufficient conditions for optimality, regularity properties of optimal trajectories and minimum time function.
• Bang-bang property.
• Optimal synthesis, its singularities and structural stability. Generic classifications in low dimensions.
• Symplectic and topological invariants of optimal control problems and Hamiltonian systems.
• Sub-Riemannian geometry and geometry of distributions.
• Quantum control.
• Engineering applications of control theory; control of mechanical systems; motion planning.
• Impulsive systems.
• Discrete-time, hybrid, and switching systems.