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arXiv · 1802.09242

Second-Order Necessary Conditions for Optimal Control with Recursive Utilities

Yuchao Dong·Qingxin Meng
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Abstract

The necessary conditions for an optimal control of a stochastic control problem with recursive utilities is investigated. The first order condition is the the well-known Pontryagin type maximum principle. When the optimal control satisfying such first-order necessary condition is singular in some sense, certain type of the second-order necessary condition will come in naturally. The aim of this paper is to explore such kind of conditions for our optimal control problem.

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Yuchao Dong, Qingxin Meng. 2018-02-26. Second-Order Necessary Conditions for Optimal Control with Recursive Utilities. https://arxiv.org/abs/1802.09242

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