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Partially-Observed Maximum Principle for Backward Stochastic Differential Delay Equations

Abstract

Dear Editor, This letter investigates a partially-observed optimal control problem for backward stochastic differential delay equations (BSDDEs). By utilizing Girsanov's theory and convex variational method, we obtain a maximum principle on the assumption that the state equation contains time delay and the control domain is convex. The adjoint processes can be represented as the solutions of certain time-advanced stochastic differential equations in finite-dimensional spaces.

article Article
date_range 2024
language English
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Featured Keywords

Optimal control
Differential equations
Delays
Standards
Delay effects
Aerospace electronics
Process control
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