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20242026
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math.OC2026

Timescale Separation Through the Lens of Operator Theory

Guido Carnevale, Nicola Bastianello, Luca Schenato +2

Timescale separation is a powerful tool for analyzing interconnected dynamical systems. Meanwhile, operator theory provides a general framework for studying the convergence of iter…

math.OC2026

Suboptimal and Reduced-Order MPC via Timescale Separation

Stefano Di Gregorio, Guido Carnevale, Giuseppe Notarstefano

In this paper, we propose a generalized framework for the design and analysis of suboptimal and reduced-order nonlinear Model Predictive Control (MPC) architectures. The proposed f…

math.OC2026

On Reward-Balancing Methods for Reinforcement Learning

Simone Baroncini, Bahman Gharesifard, Giuseppe Notarstefano

This paper investigates the so-called reward-balancing methods, a novel class of algorithms for solving discounted-return reinforcement learning (RL) problems. These methods consis…

math.OC2026

A Distributed Bilevel Framework for the Macroscopic Optimization of Multi-Agent Systems

Riccardo Brumali, Guido Carnevale, Sonia Martínez +1

In this paper, we propose a novel distributed algorithm to optimize the emergent macroscopic behavior of large-scale multi-agent systems via microscopic actions. We cast this task…

math.OC2026

Model-Free Aggregative Cooperative Optimization via Randomized Gradient-Free Minimization and Exploration Momentum

Amir Mehrnoosh, Giuseppe Speciale, Riccardo Brumali +2

Aggregative cooperative optimization problems arise in distributed decision-making settings where each agent's objective depends on its own decision as well as on an aggregate vari…

math.OC2026

Safe Control of Feedback-Interconnected Systems via Singular Perturbations

Stefano Di Gregorio, Guido Carnevale, Giuseppe Notarstefano

Control Barrier Functions (CBFs) have emerged as a powerful tool in the design of safety-critical controllers for nonlinear systems. In modern applications, complex systems often i…