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Optimal control of coupled forward-backw...
Lin, Qian...
Optimal control of coupled forward-backward stochastic system with jumps and related Hamilton-Jacobi-Bellman equations by Lin, Qian ( Author )
Australian National University
11-08-2023
In this paper we investigate a kind of optimal control problem of coupled forward-backward stochastic system with jumps whose cost functional is defined through a coupled forward-backward stochastic differential equation with Brownian motion and Poisson random measure. For this end, we first study the regularity of solutions for this kind of forward-backward stochastic differential equations. We obtain that the value function is a deterministic function and satisfies the dynamic programming principle for this kind of optimal control problem. Moreover, we prove that the value functions is a viscosity solutions of the associated Hamilton-Jacobi-Bellman equations with integral-differential operators.
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Article
pdf
30.00 KB
English
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MYR 0.01
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http://arxiv.org/abs/1111.4642
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