Top-level heading

State-constrained optimal control problems with BV trajectories

Categoria
Seminari di Modellistica Differenziale Numerica
Data e ora inizio evento
Data e ora fine evento
Aula
Sala di Consiglio
Sede

Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma

Speaker

Zhiping Rao, ENSTA-ParisTECH

We investigate an optimal control problem governed by differential equations with Radon measure as data in presence of state constraints. By using the method of graph completion for the measure, the original problem can be solved by studying an equivalent reparameterized control problem involving absolutely continuous trajectories but with time-dependent state constraints. Then it is showed that the epigraph of the reparameterized value function can be characterized by a Hamilton-Jacobi equation without any controllability assumptions.