[HTML][HTML] Non-cooperative differential game and feedback Nash equilibrium analysis for real-time electricity markets

C Wu, W Gu, Z Yi, C Lin, H Long - … Journal of Electrical Power & Energy …, 2023 - Elsevier
Continuous liberalization of electricity markets makes a strong correlation between the
economic behaviors of market participants and their profits. To guide the production of …

Maximum principle for discrete-time stochastic optimal control problem and stochastic game.

Z Wu, F Zhang - Mathematical Control & Related fields, 2022 - search.ebscohost.com
This paper is first concerned with one kind of discrete-time stochastic optimal control
problem with convex control domains, for which necessary condition in the form of …

A general maximum principle for optimal control of stochastic differential delay systems

W Meng, J Shi, T Wang, JF Zhang - SIAM Journal on Control and Optimization, 2025 - SIAM
In this paper, we solve an open problem and obtain a general maximum principle for a
stochastic optimal control problem where the control domain is an arbitrary nonempty set …

Sufficient maximum principle for partially observed mean-field stochastic optimal control problems with delays

H Ma, Y Shi, W Wang - Evolution Equations and Control Theory, 2024 - aimsciences.org
This paper deals with partially observed optimal control of meanfield system with noisy
memory and discrete delay. By means of the maximum principle, a sufficient optimality …

Stochastic maximum principle for control systems with time-varying delay

Y Han, Y Li - Systems & Control Letters, 2024 - Elsevier
In this paper, we study the stochastic optimal control problem for control systems with time-
varying delay. The corresponding state equation is a kind of stochastic differential delay …

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 partially observed nonzero‐sum stochastic differential game with delays and its application to finance

B Yang, T Guo, J Wu - Asian Journal of Control, 2019 - Wiley Online Library
In this paper, we deal with a new kind of partially observed nonzero‐sum differential game
governed by stochastic differential delay equations. One of the special features is that the …

Necessary and sufficient conditions of risk‐sensitive optimal control and differential games for stochastic differential delayed equations

J Moon - International Journal of Robust and Nonlinear Control, 2019 - Wiley Online Library
In this paper, we consider risk‐sensitive optimal control and differential games for stochastic
differential delayed equations driven by Brownian motion. The problems are related to …

Optimal strategy of mean-field FBSDE games with delay and noisy memory based on Malliavin calculus

A Ke, J Wu, B Xu - Dynamic Games and Applications, 2024 - Springer
In this paper, we study a nonzero-sum stochastic differential game for a system whose
dynamics are governed by a mean-field forward–backward stochastic differential equation …

[HTML][HTML] Integral Reinforcement Learning-Based Online Adaptive Dynamic Event-Triggered Control Design in Mixed Zero-Sum Games for Unknown Nonlinear …

Y Liang, Z Shao, H Su, L Liu, X Mao - Mathematics, 2024 - mdpi.com
Mixed zero-sum games consider both zero-sum and non-zero-sum differential game
problems simultaneously. In this paper, multiplayer mixed zero-sum games (MZSGs) are …