Infinite horizon optimal control of mean-field delay system with semi-Markov modulated jump-diffusion processes

R Deepa, P Muthukumar - The Journal of Analysis, 2019 - Springer
This paper describes the study of infinite horizon optimal control of stochastic delay
differential equation with semi-Markov modulated jump-diffusion processes in which the …

Maximum principle for mean-field jump–diffusion stochastic delay differential equations and its application to finance

Y Shen, Q Meng, P Shi - Automatica, 2014 - Elsevier
This paper investigates a stochastic optimal control problem with delay and of mean-field
type, where the controlled state process is governed by a mean-field jump–diffusion …

[HTML][HTML] Optimal control of mean-field jump-diffusion systems with delay: A stochastic maximum principle approach

Q Meng, Y Shen - Journal of computational and applied mathematics, 2015 - Elsevier
This paper is concerned with an optimal control problem under mean-field jump-diffusion
systems with delay. Firstly, some existence and uniqueness results are proved for a jump …

Sufficient stochastic maximum principle for the optimal control of semi-markov modulated jump-diffusion with application to financial optimization

A Deshpande - Stochastic Analysis and Applications, 2014 - Taylor & Francis
The finite state semi-Markov process is a generalization over the Markov chain in which the
sojourn time distribution is any general distribution. In this article, we provide a sufficient …

Optimal control of nonzero sum game mean‐field delayed Markov regime‐switching forward‐backward system with Lévy processes

R Deepa, P Muthukumar… - … Control Applications and …, 2021 - Wiley Online Library
This article investigates the optimal control problem of nonzero sum game mean‐field
delayed Markov regime‐switching forward‐backward stochastic system with Lévy processes …

Mean-Field Maximum Principle for Optimal Control of Forward–Backward Stochastic Systems with Jumps and its Application to Mean-Variance Portfolio Problem

M Hafayed, M Tabet, S Boukaf - Communications in Mathematics and …, 2015 - Springer
We study mean-field type optimal stochastic control problem for systems governed by mean-
field controlled forward–backward stochastic differential equations with jump processes, in …

Stochastic maximum principle of mean-field jump–diffusion systems with mixed delays

F Zhang - Systems & Control Letters, 2021 - Elsevier
This paper is concerned with one kind of stochastic optimal control problem of mean-field
jump–diffusion system with moving-average as well as pointwise delays. By means of the …

Optimal control of mean-field jump-diffusion systems with noisy memory

H Ma, B Liu - International Journal of Control, 2019 - Taylor & Francis
This paper is concerned with an optimal control problem under mean-field jump-diffusion
systems with delay and noisy memory. First, we derive necessary and sufficient maximum …

Maximum principle for infinite horizon optimal control of mean-field backward stochastic systems with delay and noisy memory

A Delavarkhalafi, AS Fatemion Aghda… - International Journal of …, 2022 - Taylor & Francis
In this paper, we consider a problem of optimal control of an infinite horizon mean-field
backward stochastic differential equation with delay and noisy memory under partial …

The stochastic maximum principle for a jump-diffusion mean-field model involving impulse controls and applications in finance

C Li, Z Liu, J Wu, X Huang - Journal of Systems Science and Complexity, 2020 - Springer
This paper establishes a stochastic maximum principle for a stochastic control of mean-field
model which is governed by a Lévy process involving continuous and impulse control. The …