Multi-agent differential graphical games: Online adaptive learning solution for synchronization with optimality

KG Vamvoudakis, FL Lewis, GR Hudas - Automatica, 2012 - Elsevier
Multi-agent systems arise in several domains of engineering and can be used to solve
problems which are difficult for an individual agent to solve. Strategies for team decision …

Multi-agent discrete-time graphical games and reinforcement learning solutions

MI Abouheaf, FL Lewis, KG Vamvoudakis, S Haesaert… - Automatica, 2014 - Elsevier
This paper introduces a new class of multi-agent discrete-time dynamic games, known in the
literature as dynamic graphical games. For that reason a local performance index is defined …

Synchronous reinforcement learning-based control for cognitive autonomy

KG Vamvoudakis, NMT Kokolakis - Foundations and Trends® …, 2020 - nowpublishers.com
This monograph provides an exposition of recently developed reinforcement learning-based
techniques for decision and control in human-engineered cognitive systems. The developed …

Discrete-time dynamic graphical games: Model-free reinforcement learning solution

MI Abouheaf, FL Lewis, MS Mahmoud… - Control Theory and …, 2015 - Springer
This paper introduces a model-free reinforcement learning technique that is used to solve a
class of dynamic games known as dynamic graphical games. The graphical game results …

Robust ADP-based control for uncertain nonlinear Stackelberg games

L Yu, J Lai, J **ong, M **e - Neurocomputing, 2023 - Elsevier
Stackelberg games allow players to access system information differently and take actions
asynchronously. This paper introduces a robust adaptive dynamic programming-based …

Hierarchical optimal control for input-affine nonlinear systems through the formulation of Stackelberg game

C Mu, K Wang, Q Zhang, D Zhao - Information Sciences, 2020 - Elsevier
Substantial efforts have been undertaken to explore nonzero-sum differential games. Most of
these studies are devoted to devising algorithms to pursue Nash equilibrium, where all …

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 …

Online optimal learning algorithm for Stackelberg games with partially unknown dynamics and constrained inputs

X Cui, B Wang, L Wang, J Chen - Neurocomputing, 2021 - Elsevier
This paper proposes an online integral reinforcement learning (IRL) algorithm to solve the
Stackelberg games with partially unknown dynamics and input constraints. A general …

Open‐loop Stackelberg learning solution for hierarchical control problems

KG Vamvoudakis, FL Lewis… - International journal of …, 2019 - Wiley Online Library
This work presents a novel framework based on adaptive learning techniques to solve the
continuous‐time open‐loop Stackelberg games. The method yields real‐time …

Approximate optimal cooperative decentralized control for consensus in a topological network of agents with uncertain nonlinear dynamics

R Kamalapurkar, H Dinh, P Walters… - 2013 American Control …, 2013 - ieeexplore.ieee.org
Efforts in this paper seek to combine graph theory with adaptive dynamic programming
(ADP) as a reinforcement learning (RL) framework to determine forward-in-time, real-time …