Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Intrinsic Lipschitz Regularity of Mean-Field Optimal Controls

Abstract : In this paper, we provide a sufficient condition for the Lipschitz-in-space regularity for solutions of optimal control problems formulated on continuity equations. Our approach involves a novel combination of mean-field approximation results for infinite-dimensional multi-agent optimal control problems along with an existence result of locally optimal Lipschitz feedbacks. The latter is based in our context on a reformulation of a coercivity estimate in the language of the differential calculus of Wasserstein spaces.
Complete list of metadatas

Cited literature [60 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02271059
Contributor : Benoît Bonnet <>
Submitted on : Monday, June 22, 2020 - 10:24:55 AM
Last modification on : Wednesday, June 24, 2020 - 3:27:51 AM

Files

LipReg_Web.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02271059, version 2

Collections

Citation

Benoît Bonnet, Francesco Rossi. Intrinsic Lipschitz Regularity of Mean-Field Optimal Controls. 2020. ⟨hal-02271059v2⟩

Share

Metrics

Record views

38

Files downloads

5