Intrinsic Lipschitz Regularity of Mean-Field Optimal Controls
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Publication:4992023
DOI10.1137/20M1321474zbMath1466.35068arXiv1908.04183OpenAlexW3172196307MaRDI QIDQ4992023
Benoît Bonnet, Francesco Rossi
Publication date: 4 June 2021
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.04183
Smoothness and regularity of solutions to PDEs (35B65) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving partial differential equations (49J20) Applications of variational problems to control theory (58E25)
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Necessary optimality conditions for optimal control problems in Wasserstein spaces ⋮ Mean field approximation of an optimal control problem for the continuity equation arising in smart charging ⋮ Optimal control of nonlocal continuity equations: numerical solution ⋮ Dynamical Systems and Hamilton–Jacobi–Bellman Equations on the Wasserstein Space and their L2 Representations ⋮ Dynamical optimal transport of nonlinear control-affine systems ⋮ Vanishing viscosity in mean-field optimal control ⋮ Semiconcavity and sensitivity analysis in mean-field optimal control and applications ⋮ A measure theoretical approach to the mean-field maximum principle for training NeurODEs
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