title:  Practical Models of Optimization for Controlled Sweeping Processes

Dao Nguyen

Abstract: The talk is mostly devoted to applications and
algorithms to solve optimization for controlled perturbed
sweeping/Moreau processes to some general practical dynamical
models. The first model addresses mobile robot dynamics with
obstacles, and the second one concerns control and optimization
of nanoparticles. Describing these models as controlled sweeping
processes with pointwise/hard control and state constraints and
applying new necessary optimality conditions for such systems
allow us to develop efficient procedures to solve naturally
formulated optimal control problems for the models under
consideration and completely calculate optimal solutions in
particular situations.

This is based on joint work with Boris Mordukhovich, Trang
Nguyen, Norma Robinson."