Mean field control and finite agent approximation for regime-switching jump diffusions

E Bayraktar, A Cecchin, P Chakraborty - Applied Mathematics & …, 2023 - Springer
We consider a jump-diffusion mean field control problem with regime switching in the state
dynamics. The corresponding value function is characterized as the unique viscosity …

A stochastic maximum principle for switching diffusions using conditional mean-fields with applications to control problems

SL Nguyen, DT Nguyen, G Yin - ESAIM: Control, Optimisation and …, 2020 - esaim-cocv.org
This paper obtains a maximum principle for switching diffusions with mean-field interactions.
The motivation stems from a wide range of applications for networked control systems in …

A general stochastic maximum principle for mean-field controls with regime switching

SL Nguyen, G Yin, DT Nguyen - Applied Mathematics & Optimization, 2021 - Springer
Focusing on regime-switching diffusions with mean-fields interactions, this paper is devoted
to obtaining a general maximum principle. A main feature is that conditional mean-field is …

Extended mean-field control problems with Poissonian common noise: Stochastic maximum principle and Hamiltonian-Jacobi-Bellman equation

L Bo, J Wang, X Wei, X Yu - arXiv preprint arXiv:2407.05356, 2024 - arxiv.org
This paper studies the extended mean-field control problems with state-control joint law
dependence and Poissonian common noise. We develop the stochastic maximum principle …

Finite and infinite horizon indefinite linear quadratic optimal control for discrete-time singular Markov jump systems

Y Li, S Ma - Journal of the Franklin institute, 2021 - Elsevier
This paper concerns the indefinite linear quadratic (LQ) optimal control problem for discrete-
time singular Markov jump systems (MJSs) with finite and infinite horizon, where the weight …

Linear quadratic leader–follower stochastic differential games for mean-field switching diffusions

S Lv, J Xiong, X Zhang - Automatica, 2023 - Elsevier
In this paper, we consider a linear quadratic (LQ) leader–follower stochastic differential
game for regime switching diffusions with mean-field interactions. One of the salient features …

Linear-quadratic mean-field type stackelberg differential games for stochastic jump-diffusion systems.

J Moon - Mathematical Control & Related Fields, 2022 - search.ebscohost.com
In this paper, we consider linear-quadratic (LQ) leader-follower Stackelberg differential
games for mean-field type stochastic systems with jump diffusions, where the system …

Second-order necessary condition for partially observed stochastic system with random jumps

T Chen, Z Huang, Z Wu - Systems & Control Letters, 2024 - Elsevier
In this paper, we investigate the singular optimal control problem for partially observed
stochastic control system with random jumps. In our model, the control variable is allowed to …

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 …

Existence, uniqueness and exponential ergodicity under Lyapunov conditions for McKean-Vlasov SDEs with Markovian switching

Z Liu, J Ma - Journal of Differential Equations, 2022 - Elsevier
The paper is dedicated to studying the problem of existence and uniqueness of solutions as
well as existence of and exponential convergence to invariant measures for McKean-Vlasov …