The course will provide a brief introduction to the theory of optimal control, existence, necessary and sufficient optimality conditions, focusing on analytical tools and some specific applications.
In particular: multifunctions and selection theorems, fixed point theorems, Ekeland's variational principle, viscosity solutions, transversality and generic theory. Time permitting, we shall cover applications to the control of mechanical systems by moving constraints, asymptotic stabilization by patchy feedbacks, and a class of first order mean field games.
Lecture notes will be provided.
SCHEDULE
23/10/2025 @ 11:00 room 133
24/10/2025 @ 11:00 room 133
30/10/2025 @ 11:00 room 133
31/10/2025 @ 11:00 room 134
11/11/2025 @ 11:00 room 005
13/11/2025 @ 11:00 room 136
17/11/2025 @ 11:00 room 134
20/11/2025 @ 11:00 room 134
24/11/2025 @ 11:00 room 136
25/11/2025 @ 11:00 room 136