Explanipedia

Bright and Stable Electrochemiluminescence by Heterobimetallic IrIII‐MI (MI = CuI, AuI) Complexes Open

Mattia Reato, Beatrice Polido, Anna Bonfiglio, Giulia Moro, Vincent César , et al. · 2025

Ionic transition metal complexes (iTMCs) often suffer from low photoluminescence quantum yield, especially in the red to near‐infrared spectral region. Rational molecular design strategies unlock recovering the emission features efficientl…

State Dependent Riccati for dynamic boundary control to optimize irrigation in Richards’ equation framework Open

Alessandro Alla, Marco Berardi, Luca Saluzzi · 2025

Efficient Data-Driven Regression for Reduced-Order Modeling of Spatial Pattern Formation Open

Alessandro Alla, Rudy Geelen, Hannah Lu · 2025

Stability properties of solutions to convection-reaction equations with nonlinear diffusion Open

Alessandro Alla, Alessandra De Luca, Raffaele Folino, Marta Strani · 2025

In this paper we study a convection-reaction-diffusion equation of the form ut = ε(h(u)ux)x − f(u)x + f′(u), t > 0, with a nonlinear diffusion in a bounded interval of the real line. In particular, we first focus our attention on the exist…

State Dependent Riccati for dynamic boundary control to optimize irrigation in Richards' Equation framework Open

Alessandro Alla, Marco Berardi, Luca Saluzzi · 2024

We present an approach for the optimization of irrigation in a Richards' equation framework. We introduce a proper cost functional, aimed at minimizing the amount of water provided by irrigation, at the same time maximizing the root water …

Piecewise DMD for oscillatory and Turing spatio-temporal dynamics Open

Alessandro Alla, Angela Monti, Ivonne Sgura · 2024

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 accurate approximation for datasets describing oscillatory…

A POD approach to identify and control PDEs online through State Dependent Riccati equations Open

Alessandro Alla, Agnese Pacifico · 2024

We address the control of Partial Differential equations (PDEs) with unknown parameters. Our objective is to devise an efficient algorithm capable of both identifying and controlling the unknown system. We assume that the desired PDE is ob…

Online identification and control of PDEs via Reinforcement Learning methods Open

Alessandro Alla, Agnese Pacifico, Michele Palladino, Andrea Pesare · 2023

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 input, as typical in a Reinforcement Learning framework. We pr…

HJB-RBF Based Approach for the Control of PDEs Open

Alessandro Alla, Hugo Luiz Oliveira, Gabriele Santin · 2023

Control of Fractional Diffusion Problems via Dynamic Programming Equations Open

Alessandro Alla, Marta D’Elia, Christian Glusa, Hugo Gonçalo Oliveira · 2023

Piecewise DMD for oscillatory and Turing spatio-temporal dynamics Open

Alessandro Alla, Angela Monti, Ivonne Sgura · 2023

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 accurate approximation for datasets describing oscillatory…

Adaptive POD-DEIM correction for Turing pattern approximation in reaction–diffusion PDE systems Open

Alessandro Alla, Angela Monti, Ivonne Sgura · 2023

We investigate a suitable application of Model Order Reduction (MOR) techniques for the numerical approximation of Turing patterns, that are stationary solutions of reaction–diffusion PDE (RD-PDE) systems. We show that solutions of surroga…

A Tree Structure Approach to Reachability Analysis Open

Alessandro Alla, Peter M. Dower, Vincent Liu · 2022

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 Hamilton-Jacobi approaches, suffer from the curse of dimensional…

Control of fractional diffusion problems via dynamic programming equations Open

Alessandro Alla, Marta D’Elia, Christian Glusa, Hugo Gonçalo Oliveira · 2022

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 nonlocal equation we use the Hamilton--Jacobi--Bellman equ…

Feedback reconstruction techniques for optimal control problems on a tree structure Open

Alessandro Alla, Luca Saluzzi · 2022

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 introduced recently that mitigate this problem. The method computes…

Adaptive POD-DEIM correction for Turing pattern approximation in\n reaction-diffusion PDE systems Open

Alessandro Alla, Angela Monti, Ivonne Sgura · 2022

We investigate a suitable application of Model Order Reduction (MOR)\ntechniques for the numerical approximation of Turing patterns, that are\nstationary solutions of reaction-diffusion PDE (RD-PDE) systems. We show that\nsolutions of surr…

Feedback reconstruction techniques for optimal control problems on a tree structure Open

Alessandro Alla, Luca Saluzzi · 2022

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 introduced recently that mitigate this problem. The method computes…

Error Estimates for a Tree Structure Algorithm Solving Finite Horizon Control Problems Open

Luca Saluzzi, Alessandro Alla, Maurizio Falcone · 2022

In the dynamic programming approach to optimal control problems a crucial role is played by the value function that is characterized as the unique viscosity solution of a Hamilton-Jacobi-Bellman (HJB) equation. It is well known that this a…

Time Adaptivity in Model Predictive Control Open

Alessandro Alla, Carmen Gräßle, Michael Hinze · 2021

HJB-RBF based approach for the control of PDEs Open

Alessandro Alla, Hugo Gonçalo Oliveira, Gabriele Santin · 2021

Semi-lagrangian schemes for discretization of the dynamic programming principle are based on a time discretization projected on a state-space grid. The use of a structured grid makes this approach not feasible for high-dimensional problems…

A tree structure algorithm for optimal control problems with state constraints Open

Alessandro Alla, Maurizio Falcone, Luca Saluzzi · 2020

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 based on a novel formulation in the case of convex constraints…

A tree structure algorithm for optimal control problems with state constraints Open

Alessandro Alla, Maurizio Falcone, Luca Saluzzi · 2020

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 based on a novel formulation of the constrained problem. Then …

Feedback control of parametrized PDEs via model order reduction and dynamic programming principle Open

Alessandro Alla, Bernard Haasdonk, Andreas Schmidt · 2020

A HJB-POD approach for the control of nonlinear PDEs on a tree structure Open

Alessandro Alla, Luca Saluzzi · 2020

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 the resolution of a nonlinear PDE, the Hamilton-Jacobi-Bel…

A HJB-POD approach for the control of nonlinear PDEs on a tree structure Open

Alessandro Alla, Luca Saluzzi · 2019

A localized reduced-order modeling approach for PDEs with bifurcating solutions Open

Martin W. Hess, Alessandro Alla, Annalisa Quaini, Gianluigi Rozza, Max Gunzburger · 2019

Randomized model order reduction Open

Alessandro Alla, J. Nathan Kutz · 2019

High-order approximation of the finite horizon control problem via a tree structure algorithm Open

Alessandro Alla, Maurizio Falcone, Luca Saluzzi · 2019

Solving optimal control problems via Dynamic Programming is a difficult task that suffers for the”curse of dimensionality”. This limitation has reduced its practical impact in real world applications since the construction of numerical met…

An efficient DP algorithm on a tree-structure for finite horizon optimal control problems Open

Alessandro Alla, Maurizio Falcone, Luca Saluzzi · 2019

The classical dynamic programming (DP) approach to optimal control problems is based on the characterization of the value function as the unique viscosity solution of a Hamilton-Jacobi-Bellman equation. The DP scheme for the numerical appr…

Data-Driven Identification of Parametric Partial Differential Equations Open

Samuel Rudy, Alessandro Alla, Steven L. Brunton, J. Nathan Kutz · 2019

In this work we present a data-driven method for the discovery of parametric partial differential equations (PDEs), thus allowing one to disambiguate between the underlying evolution equations and their parametric dependencies. Group spars…

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