Singular stochastic control and optimal stopping with partial information of Itô--Lévy processes

B Øksendal, A Sulem - SIAM Journal on Control and Optimization, 2012 - SIAM
We study partial information, possibly non-Markovian, singular stochastic control of Itô--
Lévy processes and obtain general maximum principles. The results are used to find …

Irreversible capital accumulation with economic impact

H Al Motairi, M Zervos - Applied Mathematics & Optimization, 2017 - Springer
We consider an irreversible capacity expansion model in which additional investment has a
strictly negative effect on the value of an underlying stochastic economic indicator. The …

Singular control and optimal stopping of SPDEs, and backward SPDEs with reflection

B Øksendal, A Sulem, T Zhang - Mathematics of Operations …, 2014 - pubsonline.informs.org
We consider general singular control problems for random fields given by a stochastic
partial differential equation (SPDE). We show that under some conditions the optimal …

Near optimality conditions in stochastic control of jump diffusion processes

F Chighoub, B Mezerdi - Systems & control letters, 2011 - Elsevier
This paper is concerned with necessary as well as sufficient conditions for near-optimality of
controlled jump diffusion processes. Necessary conditions for a control to be near-optimal …

On the relationship between the stochastic maximum principle and dynamic programming in singular stochastic control

K Bahlali, F Chighoub, B Mezerdi - Stochastics An International …, 2012 - Taylor & Francis
This paper investigates the relationship between the stochastic maximum principle and the
dynamic programming principle for singular stochastic control problems. The state of the …

The Relaxed Stochastic Maximum Principle in Singular Optimal Control of Jump Diffusions

H Ben-Gherbal, B Mezerdi - Bulletin of the Malaysian Mathematical …, 2024 - Springer
This paper deals with optimal control of systems driven by stochastic differential equations
(SDEs), with controlled jumps, where the control variable has two components, the first …

[HTML][HTML] An infinite horizon stochastic maximum principle for discounted control problem with Lipschitz coefficients

VK Socgnia, O Menoukeu-Pamen - Journal of Mathematical Analysis and …, 2015 - Elsevier
In the present work, a stochastic maximum principle for discounted control of a certain class
of degenerate diffusion processes with global Lipschitz coefficient is investigated. The value …

[HTML][HTML] The stochastic maximum principle in singular optimal control with recursive utilities

S Ji, X Xue - Journal of Mathematical Analysis and Applications, 2019 - Elsevier
In this paper, we consider stochastic recursive optimal control problem, in which the control
variable has two components with the first absolutely continuous and the second singular …

The relationship between the stochastic maximum principle and the dynamic programming in singular control of jump diffusions

F Chighoub, B Mezerdi - International Journal of Stochastic …, 2014 - Wiley Online Library
The main objective of this paper is to explore the relationship between the stochastic
maximum principle (SMP in short) and dynamic programming principle (DPP in short), for …

Maximum principle for stochastic control of SDEs with measurable drifts

O Menoukeu-Pamen, L Tangpi - Journal of Optimization Theory and …, 2023 - Springer
In this paper, we consider stochastic optimal control of systems driven by stochastic
differential equations with irregular drift coefficient. We establish a necessary and sufficient …