In this article, we analyse the existence of an optimal feedback controller of stochastic optimal control problems governed by SDEs which have the control in the diffusion part. To this end, we consider the underlying Fokker-Planck equation to transform the stochastic optimal control problem into a deterministic problem with open-loop controller.

Optimal control of McKean-Vlasov equations with controlled stochasticity

Persio, Luca Di;
2024-01-01

Abstract

In this article, we analyse the existence of an optimal feedback controller of stochastic optimal control problems governed by SDEs which have the control in the diffusion part. To this end, we consider the underlying Fokker-Planck equation to transform the stochastic optimal control problem into a deterministic problem with open-loop controller.
2024
Optimal control
McKean-Vlasov equation
Nemytskii-type equation
Fokker-Planck equation
Kolmogorov equation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/1147408
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