activity
20182021
most citedA tree structure algorithm for optimal control problems with state constraints

5 citations · 5 across the 4 of their papers we have counts for

collaborators

7 papers

math.NA2021

A New Algorithm for the LQR Problem with Partially Unknown Dynamics

Agnese Pacifico, Andrea Pesare, Maurizio Falcone

We consider an LQR optimal control problem with partially unknown dynamics. We propose a new model-based online algorithm to obtain an approximation of the dynamics the contr…

math.OC2021

Convergence of the Value Function in Optimal Control Problems with Unknown Dynamics

Andrea Pesare, Michele Palladino, Maurizio Falcone

We deal with the convergence of the value function of an approximate control problem with uncertain dynamics to the value function of a nonlinear optimal control problem. The assum…

math.NA20205 cited

A tree structure algorithm for optimal control problems with state constraints

Alessandro Alla, Maurizio Falcone, Luca Saluzzi

We present a tree structure algorithm for optimal control problems with state constraints. We prove a convergence result for a discrete time approximation of the value function bas…

math.NA2020

Multidimensional smoothness indicators for first-order Hamilton-Jacobi equations

Maurizio Falcone, Giulio Paolucci, Silvia Tozza

The lack of smoothness is a common feature of weak solutions of nonlinear hyperbolic equations and is a crucial issue in their approximation. This has motivated several efforts to…

math.NA2019

On the segmentation of astronomical images via level-set methods

Silvia Tozza, Maurizio Falcone

Astronomical images are of crucial importance for astronomers since they contain a lot of information about celestial bodies that can not be directly accessible. Most of the inform…

math.NA2018

A High-Order Scheme for Image Segmentation via a modified Level-Set method

Maurizio Falcone, Giulio Paolucci, Silvia Tozza

In this paper we propose a high-order accurate scheme for image segmentation based on the level-set method. In this approach, the curve evolution is described as the 0-level set of…