Special Session 119: Dynamical Systems and Optimal Control
Contents
When dealing with state constrained problems it is usual to assume some Pointing Qualification Hypothesis as the introduced by Soner or Frankowska and Vinter. This type of assumption does not allow to treat cases where the only option for the trajectories are to stay at the boundary of the constraint. Here we attempt to cover this kind of problems by assuming that the state-constraint admits a sufficiently regular stratification and in each of these strata we can define a Lipschitz dynamic. We present a characterization of the value function for the infinite horizon problem in term of this stratification.