Leader–follower stochastic differential game with asymmetric information and applications

J Shi, G Wang, J **ong - Automatica, 2016 - Elsevier
This paper is concerned with a leader–follower stochastic differential game with asymmetric
information, where the information available to the follower is based on some sub-σ-algebra …

A linear-quadratic optimal control problem of forward-backward stochastic differential equations with partial information

G Wang, Z Wu, J **ong - IEEE Transactions on Automatic …, 2015 - ieeexplore.ieee.org
This paper studies a linear-quadratic optimal control problem derived by forward-backward
stochastic differential equations, where the drift coefficient of the observation equation is …

Finite‐time stability and stabilization of linear Itô stochastic systems with state and control‐dependent noise

Z Yan, G Zhang, W Zhang - Asian Journal of Control, 2013 - Wiley Online Library
In this paper, finite‐time stability and stabilization problems for a class of linear stochastic
systems are studied. First, a new concept of finite‐time stochastic stability is defined for …

Forward-backward stochastic differential equations and linear-quadratic generalized Stackelberg games

N Li, Z Yu - SIAM Journal on Control and Optimization, 2018 - SIAM
A multilevel self-similar domination-monotonicity structure is proposed, and a kind of
coupled forward-backward stochastic differential equations (FBSDEs) with such structure is …

A kind of LQ non-zero sum differential game of backward stochastic differential equation with asymmetric information

G Wang, H **ao, J **ong - Automatica, 2018 - Elsevier
This paper focuses on a kind of LQ non-zero sum differential game driven by backward
stochastic differential equation with asymmetric information, which is a natural continuation …

Forward–backward linear quadratic stochastic optimal control problem with delay

J Huang, X Li, J Shi - Systems & Control Letters, 2012 - Elsevier
This paper is concerned with one kind of forward–backward linear quadratic stochastic
control problem whose system is described by a linear anticipated forward–backward …

Mixed linear quadratic stochastic differential leader-follower game with input constraint

T **e, X Feng, J Huang - Applied Mathematics & Optimization, 2021 - Springer
This paper investigates a mixed leader-follower differential games problem, where the
model involves two players with the same hierarchy in decision making and each player has …

Maximum principle for optimal control of fully coupled forward-backward stochastic differential delayed equations∗

J Huang, J Shi - ESAIM: Control, optimisation and calculus of …, 2012 - cambridge.org
This paper deals with the optimal control problem in which the controlled system is
described by a fully coupled anticipated forward-backward stochastic differential delayed …

Distributed Nash equilibrium seeking for noncooperative games in nonlinear multi‐agent systems: An event‐triggered neuro‐adaptive approach

K Zhang, P Wang, J Zhou - Asian Journal of Control, 2022 - Wiley Online Library
This paper proposes a distributed Nash equilibrium seeking strategy for noncooperative
games over strongly connected topologies, where the players suffer from unmodeled …

Solution for Pursuit-Evasion Game of Agents by Adaptive Dynamic Programming

Z Gong, B He, G Liu, X Zhang - Electronics, 2023 - mdpi.com
The paper studies a novel method for real-time solutions of the two-player pursuit-evasion
game. The min-max principle is adopted to confirm the Nash equilibrium of the game. As …