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Mild solutions to the dynamic programming equation for stochastic optimal control problems

Article ID Journal Published Year Pages File Type
7108604 Automatica 2018 7 Pages PDF
Abstract
We show via the nonlinear semigroup theory in L1(R) that the 1-D dynamic programming equation associated with a stochastic optimal control problem with multiplicative noise has a unique mild solution in a sense to be made precise.
Keywords
m-accretive operatorStochastic processCauchy problemOptimal control
Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
Preview
Mild solutions to the dynamic programming equation for stochastic optimal control problems
Authors
Viorel Barbu, Chiara Benazzoli, Luca Di Persio,
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Journal
Automatica
Journal: Automatica
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