activity
20182026
most citedA tree structure algorithm for optimal control problems with state constraints

5 citations · 17 across the 15 of their papers we have counts for

collaborators

19 papers

math.NA2026

Steering dynamic network centrality via control theory

Fabio Durastante, Beatrice Meini, Luca Saluzzi

Time-evolving networks, or temporal networks, play a crucial role in modeling dynamic interactions across various domains, including biology, social sciences, and information techn…

math.NA2025

High order Tensor-Train-Based Schemes for High-Dimensional Mean Field Games

Elisabetta Carlini, Luca Saluzzi

We introduce a fully discrete scheme to solve a class of high-dimensional Mean Field Games systems. Our approach couples semi-Lagrangian (SL) time discretizations with Tensor-Train…

math.NA2025★ 1 cited

The State-Dependent Riccati Equation in Nonlinear Optimal Control: Analysis, Error Estimation and Numerical Approximation

Luca Saluzzi

The State-Dependent Riccati Equation (SDRE) approach is extensively utilized in nonlinear optimal control as a reliable framework for designing robust feedback control strategies.…

math.OC2025

Separable Approximations of Optimal Value Functions and Their Representation by Neural Networks

Mario Sperl, Luca Saluzzi, Dante Kalise +1

The use of separable approximations is proposed to mitigate the curse of dimensionality related to the approximation of high-dimensional value functions in optimal control. The sep…

math.NA2025

Dynamical Low-Rank Approximation Strategies for Nonlinear Feedback Control Problems

Luca Saluzzi, Maria Strazzullo

This paper addresses the stabilization of dynamical systems in the infinite horizon optimal control setting using nonlinear feedback control based on State-Dependent Riccati Equati…

math.NA2024

On the data-sparsity of the solution of Riccati equations with applications to feedback control

Stefano Massei, Luca Saluzzi

Solving large-scale continuous-time algebraic Riccati equations is a significant challenge in various control theory applications. This work demonstrates that when the matrix coeff…