On partial-information optimal singular control problem for mean-field stochastic differential equations driven by Teugels martingales measures

M Hafayed, A Abba, S Abbas - International Journal of Control, 2016 - Taylor & Francis
This paper is concerned with partial-information mixed optimal stochastic continuous–
singular control problem for mean-field stochastic differential equation driven by Teugels …

On mean-field stochastic maximum principle for near-optimal controls for Poisson jump diffusion with applications

M Hafayed, A Abba, S Abbas - International Journal of Dynamics and …, 2014 - Springer
In this paper, we study mean-field type stochastic control problems for systems described by
mean-field stochastic differential equations with jump processes, in which the coefficients …

Sufficient and necessary conditions of near-optimal controls for a diffusion dengue model with Lévy noise

K Chang, Q Zhang - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
In this paper, a dengue model, which is described by spatial diffusion and Lévy noise, is
built, and the sufficient and necessary conditions for near-optimal controls of the stochastic …

Singular mean-field optimal control for forward-backward stochastic systems and applications to finance

M Hafayed - International Journal of Dynamics and Control, 2014 - Springer
In this paper, we study a class of singular stochastic optimal control problems for systems
described by mean-field forward-backward stochastic differential equations, in which the …

A McKean–Vlasov optimal mixed regular-singular control problem for nonlinear stochastic systems with Poisson jump processes

M Hafayed, S Boukaf, Y Shi, S Meherrem - Neurocomputing, 2016 - Elsevier
In this paper, we develop the necessary conditions of optimality for a new class of mixed
regular-singular control problem for nonlinear forward–backward stochastic systems with …

Pointwise Second-Order Necessary Conditions for Stochastic Optimal Control with Jump Diffusions

A Ghoul, M Hafayed, IE Lakhdari… - … in Mathematics and …, 2023 - Springer
In this paper, we establish a second-order necessary conditions for stochastic optimal
control for jump diffusions. The controlled system is described by a stochastic differential …

On Zhou's maximum principle for near-optimal control of mean-field forward-backward stochastic systems with jumps and its applications

M Hafayed, A Abba, S Boukaf - International Journal of …, 2016 - inderscienceonline.com
This paper is concerned with stochastic maximum principle for near-optimal control of
nonlinear controlled mean-field forward-backward stochastic systems driven by Brownian …

Necessary condition for near optimal control of linear forward–backward stochastic differential equations

L Zhang, J Huang, X Li - International Journal of Control, 2015 - Taylor & Francis
This paper investigates the near optimal control for a kind of linear stochastic control
systems governed by the forward–backward stochastic differential equations, where both the …

Necessary and sufficient conditions for near-optimality of stochastic delay systems

Y Wang, Z Wu - International Journal of Control, 2018 - Taylor & Francis
In this paper, we study a class of near-optimisation problems with controlled systems
described by the stochastic differential equations with delay. Thanks to the Ekeland's …

Maximum principle for near-optimality of stochastic delay control problem

F Zhang - Advances in Difference Equations, 2017 - Springer
This paper is concerned with near-optimality for stochastic control problems of linear delay
systems with convex control domain and controlled diffusion. Necessary and sufficient …