For Poisson optimal control with transport regularization, optimal controls are shown to lack interior atoms under smooth costs, to be induced by a continuous transport map under curvature conditions, and to be absolutely continuous in many metric-cost cases.
Fr´ ed´ eric Bonnans and Alexander Shapiro.Perturbation Analysis of Opti- mization Problems
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.OC 1years
2025 1verdicts
ACCEPT 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Optimal control of the Poisson equation with transport regularization: Properties of optimal transport plans and transport map
For Poisson optimal control with transport regularization, optimal controls are shown to lack interior atoms under smooth costs, to be induced by a continuous transport map under curvature conditions, and to be absolutely continuous in many metric-cost cases.