5 papers
Lipschitz regularity of controls and inversion mapping for a class of smooth extremization problems
Vincenzo Basco
In the contest of optimal control problems, regularity results for optima are known when addressing fiber-strictly convex Lagrangian. For infinite time horizons, or for settings wi…
Partial Lipschitz regularity of the minimum time function for sub-Riemannian control systems
Paolo Albano, Vincenzo Basco, Piermarco Cannarsa
In Euclidean space of dimension 2 or 3, we study a minimum time problem associated with a system of real-analytic vector fields satisfying Hörmander's bracket generating condition,…
The distance function in the presence of an obstacle
Paolo Albano, Vincenzo Basco, Piermarco Cannarsa
We study the Riemannian distance function from a fixed point (a point-wise target) of Euclidean space in the presence of a compact obstacle bounded by a smooth hypersurface. First,…
Exploiting characteristics in stationary action problems
V. Basco, P. M. Dower, W. M. McEneaney +1
Connections between the principle of stationary action and optimal control, and between established notions of minimax and viscosity solutions, are combined to describe trajectorie…
A two-player game representation for a class of infinite horizon control problems under state constraints
Vincenzo Basco, Peter M. Dower
In this paper we give feedback laws for a class of parametrized infinite horizon control problems under state constraints. We provide a two-player representation assuming time depe…