Zobrazeno 1 - 10
of 115
pro vyhledávání: '"Alla, Alessandro"'
Physics-Informed Neural Networks (PINNs) have revolutionized solving differential equations by integrating physical laws into neural network training. This paper explores PINNs for open-loop optimal control problems (OCPs) with incomplete information
Externí odkaz:
http://arxiv.org/abs/2408.03456
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 uptake, whi
Externí odkaz:
http://arxiv.org/abs/2407.06477
Autor:
Alla, Alessandro, Pacifico, Agnese
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 observable pr
Externí odkaz:
http://arxiv.org/abs/2402.08186
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 propose an al
Externí odkaz:
http://arxiv.org/abs/2308.04068
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 dynamics,
Externí odkaz:
http://arxiv.org/abs/2303.06512
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 dimensionality. In thi
Externí odkaz:
http://arxiv.org/abs/2210.13779
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 equation. It i
Externí odkaz:
http://arxiv.org/abs/2210.09827
Autor:
Alla, Alessandro, Saluzzi, Luca
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 the value
Externí odkaz:
http://arxiv.org/abs/2210.02375
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 surrogate models b
Externí odkaz:
http://arxiv.org/abs/2203.05998
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 due to the
Externí odkaz:
http://arxiv.org/abs/2108.02987