A general stochastic maximum principle for a Markov regime switching jump-diffusion model of mean-field type

X Zhang, Z Sun, J Xiong - SIAM Journal on Control and Optimization, 2018 - SIAM
In this paper, we develop a global form stochastic maximum principle for a Markov regime
switching mean-field model driven by Brownian motions and Poisson jumps. The form of the …

Relationship between general MP and DPP for the stochastic recursive optimal control problem with jumps: Viscosity solution framework

B Wang, J Shi - arXiv preprint arXiv:2403.09044, 2024 - arxiv.org
This paper is concerned with the relationship between general maximum principle and
dynamic programming principle for the stochastic recursive optimal control problem with …

Equilibrium for a time-inconsistent stochastic linear–quadratic control system with jumps and its application to the mean-variance problem

Z Sun, X Guo - Journal of Optimization Theory and Applications, 2019 - Springer
This paper studies a kind of time-inconsistent linear–quadratic control problem in a more
general framework with stochastic coefficients and random jumps. The time inconsistency …

The maximum principle for stochastic control problem with Markov chain in progressive structure

T Chen, Y Song, Z Wu - Systems & Control Letters, 2022 - Elsevier
In this paper, we obtain the stochastic maximum principle for progressive optimal control of
the model driven by Brownian motions and Markov chain. The maximum principle in …

Stochastic near-optimal control for a system with Markovian switching and Lévy noise

D Kuang, J Li, D Gao, D Luo - Chaos, Solitons & Fractals, 2024 - Elsevier
The near-optimal control conditions of a stochastic system are the main subject of this
research work, which will extend some previous results. At first, the stochastic system and its …

A risk-sensitive maximum principle for a Markov regime-switching jump-diffusion system and applications

Z Sun, I Kemajou-Brown… - … Control, Optimisation and …, 2018 - numdam.org
In this paper, we derive a general stochastic maximum principle for a risk-sensitive type
optimal control problem of Markov regime-switching jump-diffusion model. The results are …

Relationship Between General MP and DPP for the Stochastic Recursive Optimal Control Problem with Jumps

B Wang, J Shi - Journal of Systems Science and Complexity, 2024 - Springer
This paper is concerned with the relationship between general maximum principle and
dynamic programming principle for the stochastic recursive optimal control problem with …

The maximum principles for partially observed risk-sensitive optimal controls of Markov regime-switching jump-diffusion system

Z Sun, O Menoukeu-Pamen - Stochastic Analysis and Applications, 2018 - Taylor & Francis
This paper studies partially observed risk-sensitive optimal control problems with correlated
noises between the system and the observation. It is assumed that the state process is …

Problem of eigenvalues of stochastic Hamiltonian systems with boundary conditions and Markov chain

T Chen, X Hu, Z Wu - arXiv preprint arXiv:2404.10398, 2024 - arxiv.org
In this paper, we study the eigenvalue problem of stochastic Hamiltonian system driven by
Brownian motion and Markov chain with boundary conditions and time-dependent …

Maximum principle for forward-backward partially observed optimal control of stochastic systems with delay

A Delavarkhalafi, FAS Aghda, M Tahmasebi - Filomat, 2023 - doiserbia.nb.rs
In this paper, we consider partially observed optimal control for forward-backward stochastic
delay differential equations (FBSDDEs) where the control domain is non-convex and the …