Peer Reviewed Publications
A. Alla, M. Falcone, L. Saluzzi, An efficient DP algorithm on a tree-structure for finite horizon optimal control problems, SIAM J. Sci. Comput., 41 (4), A2384–A2406 , 2019.
A. Alla, L. Saluzzi, A HJB-POD approach for the control of nonlinear PDEs on a tree structure, Applied Numerical Mathematics, 155: 192-207, 2020.
A. Alla, M. Falcone, L.Saluzzi, A tree structure algorithm for optimal control problems with state constraints, Rendiconti di Matematica e delle sue Applicazioni, 41: 193-221, 2020.
L. Saluzzi, A. Alla, M. Falcone, Error estimates for a tree structure algorithm solving finite horizon control problems, ESAIM: Control, Optimisation and Calculus of Variations, 28 (69) 2022.
M. Falcone, G. Kirsten, L. Saluzzi, Approximation of Optimal Control Problems for the Navier-Stokes equation via multilinear HJB-POD, Applied Mathematics and Computation, 442, 2023.
S. Dolgov, D. Kalise, L. Saluzzi, Data-driven Tensor Train Gradient Cross Approximation for Hamilton-Jacobi-Bellman Equations, SIAM J. Sci. Comput., 45 (5), A2153-A2184, 2023.
G. Kirsten and L. Saluzzi, A multilinear HJB-POD method for the optimal control of PDEs on a tree structure, Journal of Scientific Computing, 101 (2), 41, 2024.
M. Oster, L. Saluzzi, and T. Wenzel, A comparison study of supervised learning techniques for the approximation of high dimensional functions and feedback control, to appear on Dynamic Games and Applications.
Submitted Papers
S. Dolgov, D. Kalise, and L. Saluzzi, Statistical Proper Orthogonal Decomposition for model reduction in feedback control, 2024.
A. Alla, M. Berardi, and L. Saluzzi, A feedback control strategy for optimizing irrigation in a Richards' Equation framework, 2024
S. Massei, L. Saluzzi , On the data-sparsity of the solution of Riccati equations with appli-
cations to feedback control, 2024.
Peer Reviewed Conference Proceedings
A. Alla, M. Falcone, L. Saluzzi, High-order Approximation of the Finite Horizon Control Problem via a Tree Structure Algorithm, in Conference Proceedings of the 3rd IFAC Conference on Control of Systems Governed by Partial Differential Equations, 52 (2), 19-24, 2019.
S.Dolgov, D. Kalise, L. Saluzzi, Optimizing semilinear representations for State-dependent Riccati Equation-based feedback control, in Conference Proceedings of the 25th IFAC Symposium on Mathematical Theory of Networks and Systems MTNS 2022, 55 (30), 510-515, 2022.
A. Alla, L. Saluzzi, Feedback reconstruction techniques for optimal control problems on a tree structure, ECCOMAS Congress 2022.
M Sperl, L Saluzzi, L Grüne, and D Kalise, Separable approximations of optimal value functions under a decaying sensitivity assumption, IEEE Conference on Decision and Control, 2024
Phd Thesis