Pareto optimality of stochastic delay systems in finite horizon

Q Zhang - 2022 41st Chinese Control Conference (CCC), 2022 - ieeexplore.ieee.org
In this paper, we present necessary as well as sufficient conditions for Pareto optimality of
delayed stochastic cooperative differential game in finite horizon. The problem is …

Pareto optimality of stochastic cooperative differential game with general delays in finite horizon

Z Qixia - International Journal of Control, 2024 - Taylor & Francis
The Pareto optimality of stochastic cooperative differential game with a discrete delay, a
moving-average delay and a noisy memory process is studied. We establish two sets of …

Necessary and sufficient conditions for Pareto optimality of the stochastic systems in finite horizon

Y Lin, X Jiang, W Zhang - Automatica, 2018 - Elsevier
This paper is concerned with the necessary and sufficient conditions for the Pareto optimality
in the finite horizon stochastic cooperative differential game. Based on the necessary and …

Existence Conditions of Pareto Solutions in Finite Horizon Stochastic Differential Games

Y Lin, W Zhang - Essays on Pareto Optimality in Cooperative Games, 2022 - Springer
This chapter is concerned with necessary/sufficient conditions for Pareto optimality in finite
horizon cooperative stochastic differential games. Based on the equivalent characterization …

Pareto optimality in finite horizon LQ stochastic differential games

Y Lin, W Zhang - 2017 29th Chinese Control And Decision …, 2017 - ieeexplore.ieee.org
This paper is concerned with the linear quadratic (LQ) Pareto optimal control of the
continuous-time stochastic systems in finite horizon. First, based on the necessary and …

Maximum principle for nonzero-sum stochastic differential game with delays

L Chen, Z Yu - IEEE Transactions on Automatic Control, 2014 - ieeexplore.ieee.org
In this technical note, we discuss a nonzero-sum stochastic differential game with delays.
Not only the state variable, but also control variables of players involve delays. This kind of …

A global maximum principle for stochastic optimal control problems with delay and applications

W Meng, J Shi - Systems & Control Letters, 2021 - Elsevier
In this paper, an open problem is solved, for the stochastic optimal control problem with
delay where the control domain is nonconvex and the diffusion term contains both control …

A general maximum principle for delayed stochastic optimal control problems

Q Zhang - 2019 Chinese Control Conference (CCC), 2019 - ieeexplore.ieee.org
In this paper, we consider optimal control problems derived by stochastic systems with
distributed (average) and pointwise time delays, where control domains are non-convex and …

A maximum principle for discrete-time stochastic optimal control problem with delay

B Dong, T Nie, Z Wu - Systems & Control Letters, 2023 - Elsevier
This paper is devoted to study the maximum principle for discrete-time stochastic optimal
control problem with delay. The most difficulty to this problem comes from the delayed …

Stochastic linear-quadratic optimal control problems with delay and Lévy processes

N Li, Z Wu - 2016 35th Chinese Control Conference (CCC), 2016 - ieeexplore.ieee.org
This paper is concerned with a linear-quadratic (LQ) optimal control problem for the
stochastic system with delay and Lévy processes. To solve this problem, we study the …