50 citations · 98 across the 22 of their papers we have counts for
29 papers
Online identification and control of PDEs via Reinforcement Learning methods
Alessandro Alla, Agnese Pacifico, Michele Palladino +1
We focus on the control of unknown Partial Differential Equations (PDEs). The system dynamics is unknown, but we assume we are able to observe its evolution for a given control inp…
Piecewise DMD for oscillatory and Turing spatio-temporal dynamics
Alessandro Alla, Angela Monti, Ivonne Sgura
Dynamic Mode Decomposition (DMD) is an equation-free method that aims at reconstructing the best linear fit from temporal datasets. In this paper, we show that DMD does not provide…
A Tree Structure Approach to Reachability Analysis
Alessandro Alla, Peter M. Dower, Vincent Liu
Reachability analysis is a powerful tool when it comes to capturing the behaviour, thus verifying the safety, of autonomous systems. However, general-purpose methods, such as Hamil…
Control of fractional diffusion problems via dynamic programming equations
Alessandro Alla, Marta D'Elia, Christian Glusa +1
We explore the approximation of feedback control of integro-differential equations containing a fractional Laplacian term. To obtain feedback control for the state variable of this…
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…