4 citations · 7 across the 6 of their papers we have counts for
7 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,…
Representation of Weak Solutions of Convex Hamilton-Jacobi-Bellman Equations on Infinite Horizon
Vincenzo Basco
In the present paper, it is provided a representation result for the weak solutions of a class of evolutionary Hamilton-Jacobi-Bellman equations on infinite horizon, with Hamiltoni…
Weak epigraphical solutions to Hamilton-Jacobi-Bellman equations on infinite horizon
Vincenzo Basco
In this paper we show a uniqueness result for weak epigraphical solutions of Hamilton-Jacobi-Bellman (HJB) equations on infinite horizon for a class of lower semicontinuous functio…
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…