Research interests
- Multiagent systems and mean-field optimal control
- Optimal transport and Wasserstein geometry
- Nonsmooth and set-valued analysis
- Asymptotic stability for multi-agent dynamics
Submitted papers and work in progress
- Set-Valued Koopman Theory for Control Systems (with M. Korda)
Submitted (2024) [pdf] - Carathéodory Theory and A Priori Estimates for Continuity Inclusions in the Space of Probability Measures (with H. Frankowska)
Under review (2023) [pdf]
Published and accepted papers
- On the Viability and Invariance of Proper Sets under Continuity Inclusions in Wasserstein Spaces (with H. Frankowska)
To appear in SIAM Journal on Mathematical Analysis (2023) [pdf] - First-Order Pontryagin Optimality Conditions for Risk-Averse Stochastic Optimal Control Problems (with R. Bonalli)
SIAM Journal on Control and Optimization, 61(3):1881-1909 (2023) [pdf] - A Measure Theoretical Approach to the Mean-Field Maximum Principle for Training NeurODEs (with C. Cipriani, M. Fornasier and H. Huang)
Nonlinear Analysis, 227:113161 (2023) [pdf] - Consensus Formation in First-Order Graphon Models with Time-Varying Topologies (with N. Pouradier Duteil and M. Sigalotti)
Mathematical Models and Methods in the Applied Sciences, 32(11):2121-2168 (2022) [pdf] - Semiconcavity and Sensitivity Analysis in Mean-Field Optimal Control and Applications (with H. Frankowska)
Journal de Mathématiques Pures et Appliquées, 175:282-345 (2022) [pdf] - Necessary Optimality Conditions for Optimal Control Problems in Wasserstein Spaces (with H. Frankowska)
Applied Mathematics and Optimization, 84:1281–1330 (2021) [pdf] - Intrinsic Lipschitz Regularity of Mean-Field Optimal Controls (with F. Rossi)
SIAM Journal on Control and Optimization, 59(3):2011-2046 (2021) [pdf] - Consensus and Flocking under Communication Failures for a Class of Cucker-Smale Systems (with É. Flayac)
Systems and Control Letters, 152:104930 (2021) [pdf] - Differential Inclusions in Wasserstein Spaces: The Cauchy Lipschitz Framework (with H. Frankowska)
Journal of Differential Equations, 271:594-637 (2021) [pdf] - A Pontryagin Maximum Principle in Wasserstein Spaces for Constrained Optimal Control Problems
ESAIM COCV, 25(52) (2019) [pdf] - Generic Singularities of the 3D-Contact Sub-Riemannian Conjugate Locus (with J.-P. Gauthier and F. Rossi)
Comptes Rendus Mathématiques de l'Académie des Sciences, 357(6):520-527 (2019) [pdf] - The Pontryagin Maximum Principle in the Wasserstein Space (with F. Rossi)
Calculus of Variations and Partial Differential Equations, 58:11 (2019) [pdf]
Miscellaneous writings and teaching supports
