Filippo Fabiani
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View article: Concentration inequalities for semidefinite least squares based on data
Concentration inequalities for semidefinite least squares based on data Open
We study data-driven least squares (LS) problems with semidefinite (SD) constraints and derive finite-sample guarantees on the spectrum of their optimal solutions when these constraints are relaxed. In particular, we provide a high confide…
View article: Neural network-based identification of state-space switching nonlinear systems
Neural network-based identification of state-space switching nonlinear systems Open
We design specific neural networks (NNs) for the identification of switching nonlinear systems in the state-space form, which explicitly model the switching behavior and address the inherent coupling between system parameters and switching…
View article: A neural network-based approach to hybrid systems identification for control
A neural network-based approach to hybrid systems identification for control Open
View article: Distributed equilibrium seeking in aggregative games: linear convergence under singular perturbations lens
Distributed equilibrium seeking in aggregative games: linear convergence under singular perturbations lens Open
We present a fully-distributed algorithm for Nash equilibrium seeking in aggregative games over networks. The proposed scheme endows each agent with a gradient-based scheme equipped with a tracking mechanism to locally reconstruct the aggr…
View article: Identification of non-causal systems with arbitrary switching modes
Identification of non-causal systems with arbitrary switching modes Open
We consider the identification of non-causal systems with arbitrary switching modes (NCS-ASM), a class of models essential for describing typical power load management and department store inventory dynamics. The simultaneous identificatio…
View article: A Gauss-Seidel method for solving multi-leader-multi-follower games
A Gauss-Seidel method for solving multi-leader-multi-follower games Open
We design a computational approach to find equilibria in a class of Nash games possessing a hierarchical structure. By using tools from mixed-integer optimization and the characterization of variational equilibria in terms of the Karush-Ku…
View article: A neural network-based approach to hybrid systems identification for control
A neural network-based approach to hybrid systems identification for control Open
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.…
View article: Tracking-Based Distributed Equilibrium Seeking for Aggregative Games
Tracking-Based Distributed Equilibrium Seeking for Aggregative Games Open
We propose fully-distributed algorithms for Nash equilibrium seeking in aggregative games over networks. We first consider the case where local constraints are present and we design an algorithm combining, for each agent, (i) the projected…
View article: Probably approximately correct stability of allocations in uncertain coalitional games with private sampling
Probably approximately correct stability of allocations in uncertain coalitional games with private sampling Open
We study coalitional games with exogenous uncertainty in the coalition value, in which each agent is allowed to have private samples of the uncertainty. As a consequence, the agents may have a different perception of stability of the grand…
View article: Best-response algorithms for a class of monotone Nash equilibrium problems with mixed-integer variables
Best-response algorithms for a class of monotone Nash equilibrium problems with mixed-integer variables Open
We characterize the convergence properties of traditional best-response (BR) algorithms in computing solutions to mixed-integer Nash equilibrium problems (MI-NEPs) that turn into a class of monotone Nash equilibrium problems (NEPs) once re…
View article: Generalized uncertain Nash games: Reformulation and robust equilibrium seeking -- Extended version
Generalized uncertain Nash games: Reformulation and robust equilibrium seeking -- Extended version Open
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. By making u…
View article: Counter-example guided inductive synthesis of control Lyapunov functions for uncertain systems
Counter-example guided inductive synthesis of control Lyapunov functions for uncertain systems Open
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. In th…
View article: Incentives and co-evolution: Steering linear dynamical systems with noncooperative agents
Incentives and co-evolution: Steering linear dynamical systems with noncooperative agents Open
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. In this paper, we mode…
View article: An active learning method for solving competitive multi-agent decision-making and control problems
An active learning method for solving competitive multi-agent decision-making and control problems Open
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' reaction…
View article: Reliably-Stabilizing Piecewise-Affine Neural Network Controllers
Reliably-Stabilizing Piecewise-Affine Neural Network Controllers Open
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. We pres…
View article: Tracking-based distributed equilibrium seeking for aggregative games
Tracking-based distributed equilibrium seeking for aggregative games Open
We propose fully-distributed algorithms for Nash equilibrium seeking in aggregative games over networks. We first consider the case where local constraints are present and we design an algorithm combining, for each agent, (i) the projected…
View article: Learning equilibria with personalized incentives in a class of nonmonotone games
Learning equilibria with personalized incentives in a class of nonmonotone games Open
We consider quadratic, nonmonotone generalized Nash equilibrium problems with symmetric interactions among the agents. Albeit this class of games is known to admit a potential function, its formal expression can be unavailable in several r…
View article: Robust stabilization of polytopic systems via fast and reliable neural network-based approximations
Robust stabilization of polytopic systems via fast and reliable neural network-based approximations Open
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 …
View article: A stochastic generalized Nash equilibrium model for platforms competition in the ride-hail market
A stochastic generalized Nash equilibrium model for platforms competition in the ride-hail market Open
The presence of uncertainties in the ride-hailing market complicates the pricing strategies of on-demand platforms that compete each other to offer a mobility service while striving to maximize their profit. Looking at this problem as a st…
View article: Proximal-like algorithms for equilibrium seeking in mixed-integer Nash equilibrium problems
Proximal-like algorithms for equilibrium seeking in mixed-integer Nash equilibrium problems Open
We consider potential games with mixed-integer variables, for which we propose two distributed, proximal-like equilibrium seeking algorithms. Specifically, we focus on two scenarios: i) the underlying game is generalized ordinal and the ag…
View article: Personalized incentives as feedback design in generalized Nash equilibrium problems
Personalized incentives as feedback design in generalized Nash equilibrium problems Open
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. As may happen in practical cases, however, we envisio…
View article: Probabilistically Robust Stabilizing Allocations in Uncertain Coalitional Games
Probabilistically Robust Stabilizing Allocations in Uncertain Coalitional Games Open
In this paper we consider multi-agent coalitional games with uncertain value functions for which we establish distribution-free guarantees on the probability of allocation stability, i.e., agents do not have incentives to defect from the g…
View article: Probabilistic feasibility guarantees for solution sets to uncertain variational inequalities
Probabilistic feasibility guarantees for solution sets to uncertain variational inequalities Open
View article: Pursuing robust decisions in uncertain traffic equilibrium problems
Pursuing robust decisions in uncertain traffic equilibrium problems Open
We evaluate the robustness of agents' traffic equilibria in randomized routing games characterized by an uncertain network demand with a possibly unknown probability distribution. Specifically, we extend the so-called hose model by conside…
View article: Learning equilibria with personalized incentives in a class of\n nonmonotone games
Learning equilibria with personalized incentives in a class of\n nonmonotone games Open
We consider quadratic, nonmonotone generalized Nash equilibrium problems with\nsymmetric interactions among the agents. Albeit this class of games is known to\nadmit a potential function, its formal expression can be unavailable in several…
View article: Probabilistic Stabilizability Certificates for a Class of Black-Box Linear Systems
Probabilistic Stabilizability Certificates for a Class of Black-Box Linear Systems Open
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. Specifically, we consider linear time-invariant models whose state space matrices are known onl…
View article: The optimal transport paradigm enables data compression in data-driven robust control
The optimal transport paradigm enables data compression in data-driven robust control Open
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. We adopt an opt…
View article: Local Stackelberg Equilibrium Seeking in Generalized Aggregative Games
Local Stackelberg Equilibrium Seeking in Generalized Aggregative Games Open
We propose a two-layer, semi-decentralized algorithm to compute a local solution to the Stackelberg equilibrium problem in aggregative games with coupling constraints. Specifically, we focus on a single-leader, multiple-follower problem, a…
View article: Extremum seeking control of a class of constrained nonlinear systems
Extremum seeking control of a class of constrained nonlinear systems Open
This paper studies the extremum seeking control (ESC) problem for a class of constrained nonlinear systems. Specifically, we focus on a family of constraints allowing to reformulate the original nonlinear system in the so-called input-outp…
View article: A threshold mechanism ensures minimum-path flow in lightning discharge
A threshold mechanism ensures minimum-path flow in lightning discharge Open