5 citations · 7 across the 7 of their papers we have counts for
5 papers · 1 filter
Feedback reconstruction techniques for optimal control problems on a tree structure
Alessandro Alla, Luca Saluzzi
The computation of feedback control using Dynamic Programming equation is a difficult task due the curse of dimensionality. The tree structure algorithm is one the methods introduc…
Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems
Alessandro Alla, Angela Monti, Ivonne Sgura
We investigate a suitable application of Model Order Reduction (MOR) techniques for the numerical approximation of Turing patterns, that are stationary solutions of reaction-diffus…
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…
A HJB-POD approach for the control of nonlinear PDEs on a tree structure
Alessandro Alla, Luca Saluzzi
The Dynamic Programming approach allows to compute a feedback control for nonlinear problems, but suffers from the curse of dimensionality. The computation of the control relies on…
Understanding Mass Transfer Directions via Data-Driven Models with Application to Mobile Phone Data
Alessandro Alla, Caterina Balzotti, Maya Briani +1
The aim of this paper is to solve an inverse problem which regards a mass moving in a bounded domain. We assume that the mass moves following an unknown velocity field and that the…