Sliding-mode surface-based approximate optimal control for nonlinear multiplayer Stackelberg-Nash games via adaptive dynamic programming
This paper studies the sliding-mode surface (SMS)-based approximate optimal control issue
for a class of nonlinear multiplayer Stackelberg-Nash games (MSNGs). First, considering …
for a class of nonlinear multiplayer Stackelberg-Nash games (MSNGs). First, considering …
Multiplayer Stackelberg–Nash game for nonlinear system via value iteration-based integral reinforcement learning
In this article, we study a multiplayer Stackelberg–Nash game (SNG) pertaining to a
nonlinear dynamical system, including one leader and multiple followers. At the higher level …
nonlinear dynamical system, including one leader and multiple followers. At the higher level …
The Computation of Approximate Feedback Stackelberg Equilibria in Multiplayer Nonlinear Constrained Dynamic Games
Solving feedback Stackelberg games with nonlinear dynamics and coupled constraints, a
common scenario in practice, presents significant challenges. This work introduces an …
common scenario in practice, presents significant challenges. This work introduces an …
Hierarchical optimal synchronization for linear systems via reinforcement learning: A Stackelberg–Nash game perspective
Considering the fact that in the real world, a certain agent may have some sort of advantage
to act before others, a novel hierarchical optimal synchronization problem for linear systems …
to act before others, a novel hierarchical optimal synchronization problem for linear systems …
A differential game approach to formation control for a team of agents with one leader
A team of agents consisting of one leader and N followers is considered. The problem in
which the leader is steered towards a target position while the followers create and maintain …
which the leader is steered towards a target position while the followers create and maintain …
Two-player nonlinear Stackelberg differential game via off-policy integral reinforcement learning
X Cui, J Chen, Y Cui, S Xu - Journal of the Franklin Institute, 2024 - Elsevier
For the nonzero-sum games, players have taken different strategies to achieve the Nash
equilibrium. However, regarding hierarchical optimization and asymmetric information, Nash …
equilibrium. However, regarding hierarchical optimization and asymmetric information, Nash …
Decentralized and Privacy-Preserving Learning of Approximate Stackelberg Solutions in Energy Trading Games With Demand Response Aggregators
In the pathway to 2030 electricity generation decarbonization and 2050 net-zero economies,
scalable integration of distributed load can support environmental goals and also help …
scalable integration of distributed load can support environmental goals and also help …
An algebraic approach to dynamic optimisation of nonlinear systems: a survey and some new results
Dynamic optimisation, with a particular focus on optimal control and nonzero-sum differential
games, is considered. For nonlinear systems solutions sought via the dynamic programming …
games, is considered. For nonlinear systems solutions sought via the dynamic programming …
Towards a systematic solution for differential games with limited communication
The main aim of this work is to develop a systematic approach for dealing with differential
games with limited communication. To this end a differential game with limited …
games with limited communication. To this end a differential game with limited …
Adaptive dynamic programming for a class of two-player Stackelberg differential games
K Xu, X Zhao, X Han - 2020 International Conference on …, 2020 - ieeexplore.ieee.org
In this paper, we propose an adaptive dynamic programming algorithm based on policy
iteration to solve the two-player nonlinear Stackelberg differential game. Stackelberg …
iteration to solve the two-player nonlinear Stackelberg differential game. Stackelberg …