Please use this identifier to cite or link to this item:
Title: The relaxed optimal control problem of forward-backward stochastic doubly systems with Poisson jumps and its application to LQ problem
Authors: A. Chala
Keywords: Jump diffusion; stochastic maximum principle; strict control; relaxed control; adjoint equation; variational inequality; linear quadratic problem
Issue Date: 18-Apr-2014
Abstract: We study relaxed stochastic control problems where the state equation is a forward backward doubly stochastic differential equation with Poisson jumps, where the set of strict (classical) controls need not be convex and the diffusion coefficient and the generator coefficient depends on the terms control. In this paper, we introduce a new approach to solve this open problem, the main result is necessary conditions as well as a sufficient for optimality in the form of a relaxed maximum principle, with application to linear quadratic stochastic control problem with random jumps. DOI: 10.1515/rose-2012-0012 Link
Appears in Collections:Publications Internationales

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.