3 citations · 3 across the 1 of their papers we have counts for
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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…
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…