no code implementations • 2 Apr 2024 • Filippo Fabiani, Bartolomeo Stellato, Daniele Masti, Paul J. Goulart
We consider the problem of designing a machine learning-based model of an unknown dynamical system from a finite number of (state-input)-successor state data points, such that the model obtained is also suitable for optimal control design.
no code implementations • 6 Apr 2023 • Marta Fochesato, Filippo Fabiani, John Lygeros
We consider generalized Nash equilibrium problems (GNEPs) with linear coupling constraints affected by both local (i. e., agent-wise) and global (i. e., shared resources) disturbances taking values in polyhedral uncertainty sets.
no code implementations • 17 Mar 2023 • Daniele Masti, Filippo Fabiani, Giorgio Gnecco, Alberto Bemporad
We propose a counter-example guided inductive synthesis (CEGIS) scheme for the design of control Lyapunov functions and associated state-feedback controllers for linear systems affected by parametric uncertainty with arbitrary shape.
no code implementations • 13 Mar 2023 • Filippo Fabiani, Andrea Simonetto
Modern socio-technical systems typically consist of many interconnected users and competing service providers, where notions like market equilibrium are tightly connected to the ``evolution'' of the network of users.
no code implementations • 23 Dec 2022 • Filippo Fabiani, Alberto Bemporad
To identify a stationary action profile for a population of competitive agents, each executing private strategies, we introduce a novel active-learning scheme where a centralized external observer (or entity) can probe the agents' reactions and recursively update simple local parametric estimates of the action-reaction mappings.
no code implementations • 26 Oct 2022 • Guido Carnevale, Filippo Fabiani, Filiberto Fele, Kostas Margellos, Giuseppe Notarstefano
We propose fully-distributed algorithms for Nash equilibrium seeking in aggregative games over networks.
no code implementations • 27 Apr 2022 • Filippo Fabiani, Paul J. Goulart
We consider the design of fast and reliable neural network (NN)-based approximations of traditional stabilizing controllers for linear systems with polytopic uncertainty, including control laws with variable structure and those based on a (minimal) selection policy.
no code implementations • 24 Mar 2022 • Filippo Fabiani, Andrea Simonetto, Paul J. Goulart
We investigate both stationary and time-varying, nonmonotone generalized Nash equilibrium problems that exhibit symmetric interactions among the agents, which are known to be potential.
no code implementations • 13 Nov 2021 • Filippo Fabiani, Paul J. Goulart
A common problem affecting neural network (NN) approximations of model predictive control (MPC) policies is the lack of analytical tools to assess the stability of the closed-loop system under the action of the NN-based controller.
no code implementations • 6 Nov 2021 • Filippo Fabiani, Andrea Simonetto, Paul J. Goulart
We consider quadratic, nonmonotone generalized Nash equilibrium problems with symmetric interactions among the agents.
no code implementations • 23 Mar 2021 • Filippo Fabiani
We evaluate the robustness of agents' traffic equilibria in randomized routing games characterized by an uncertain network demand with a possibly unknown probability distribution.
no code implementations • 4 Mar 2021 • Filippo Fabiani, Kostas Margellos, Paul J. Goulart
We provide out-of-sample certificates on the controlled invariance property of a given set with respect to a class of black-box linear systems.
Optimization and Control Systems and Control Systems and Control
no code implementations • 19 May 2020 • Filippo Fabiani, Paul J. Goulart
A new data-enabled control technique for uncertain linear time-invariant systems, recently conceived by Coulson et\ al., builds upon the direct optimization of controllers over input/output pairs drawn from a large dataset.