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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

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6 papers · 1 filter

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.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…

math.NA2018

Convergence of Adaptive Filtered Schemes for First Order Evolutionary Hamilton-Jacobi Equations

Maurizio Falcone, Giulio Paolucci, Silvia Tozza

We consider a class of "filtered" schemes for first order time dependent Hamilton-Jacobi equations and prove a general convergence result for this class of schemes. A typical filte…