Antonio Marigonda

Some New Regularity Properties for the Minimal Time Function

A minimal time problem with linear dynamics and convex target is considered. It is shown, essentially, that the epigraph of the minimal time function

Time-Optimal Control Problem in the Space of Probability Measures

T(\cdot)

CONTROLLABILITY OF SOME NONLINEAR SYSTEMS WITH DRIFT VIA GENERALIZED CURVATURE PROPERTIES

is

The Clarke Generalized Gradient for Functions Whose Epigraph Has Positive Reach

\varphi

Hamilton-Jacobi-Bellman Equation for a Time-Optimal Control Problem in the Space of Probability Measures

-convex (i.e., it satisfies a kind of exterior sphere condition with locally uniform radius), provided

A Stochastic Model of Optimal Debt Management and Bankruptcy

T(\cdot)

Superposition Principle for Differential Inclusions

is continuous. Several regularity properties are derived from results in [G. Colombo and A. Marigonda, Calc. Var. Partial Differential Equations, 25 (2005), pp. 1-31], including twice a. e. differentiability of

Optimal mass transportation-based models for neuronal fibers

T(\cdot)

Sufficient Conditions for Small Time Local Attainability for a Class of Control Systems

and local estimates on the total variation of

BV Regularity and Differentiability Properties of a Class of Upper Semicontinuous Functions

DT