814 citations · 2.5k across the 69 of their papers we have counts for
21 papers · 1 filter
Control of multi-agent systems: results, open problems, and applications
Benedetto Piccoli
The purpose of this review paper is to present some recent results on the modeling and control of large systems of agents. We focus on particular applications where the agents are…
Stability of multi-population traffic flows
Amaury Hayat, Benedetto Piccoli, Shengquan Xiang
Traffic waves, known also as stop-and-go waves or phantom hams, appear naturally as traffic instabilities, also in confined environments as a ring-road. A multi-population traffic…
Generalized solutions to opinion dynamics models with discontinuities
Francesca Ceragioli, Paolo Frasca, Benedetto Piccoli +1
Social dynamics models may present discontinuities in the right-hand side of the dynamics for multiple reasons, including topology changes and quantization. Several concepts of gen…
Generalized solutions to bounded-confidence models
Benedetto Piccoli, Francesco Rossi
Bounded-confidence models in social dynamics describe multi-agent systems, where each individual interacts only locally with others. Several models are written as systems of ordina…
Stability of Metabolic Networks via Linear-In-Flux-Expressions
Nathaniel J. Merrill, Zheming An, Sean T. McQuade +4
The methodology named LIFE (Linear-in-Flux-Expressions) was developed with the purpose of simulating and analyzing large metabolic systems. With LIFE, the number of model parameter…
Generalized Dynamic Programming Principle and Sparse Mean-Field Control Problems
Giulia Cavagnari, Antonio Marigonda, Benedetto Piccoli
In this paper we study optimal control problems in Wasserstein spaces, which are suitable to describe macroscopic dynamics of multi-particle systems. The dynamics is described by a…