4 papers
Lagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control problems: Equivalence and Gamma-convergence
Giulia Cavagnari, Stefano Lisini, Carlo Orrieri +1
This paper is devoted to the study of multi-agent deterministic optimal control problems. We initially provide a thorough analysis of the Lagrangian, Eulerian and Kantorovich formu…
Attainability property for a probabilistic target in Wasserstein spaces
Giulia Cavagnari, Antonio Marigonda
In this paper we establish an attainability result for the minimum time function of a control problem in the space of probability measures endowed with Wasserstein distance. The dy…
Superposition principle and schemes for Measure Differential Equations
Fabio Camilli, Giulia Cavagnari, Raul De Maio +1
Measure Differential Equations (MDE) describe the evolution of probability measures driven by probability velocity fields, i.e. probability measures on the tangent bundle. They are…
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…