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 …
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 …
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 …
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 …
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 …
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 …
(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 …
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
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 …
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 (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 …
differential equations with irregular drift coefficient. We establish a necessary and sufficient …