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math.OC2022
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…
math.OC2022
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,…
math.OC2022★ 4 cited
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…