Dynamic control of agents playing aggregative games with coupling constraints

S Grammatico - IEEE Transactions on Automatic Control, 2017 - ieeexplore.ieee.org
We address the problem to control a population of noncooperative heterogeneous agents,
each with convex cost function depending on the average population state, and all sharing a …

Continuous-time integral dynamics for a class of aggregative games with coupling constraints

C De Persis, S Grammatico - IEEE Transactions on Automatic …, 2019 - ieeexplore.ieee.org
We consider continuous-time equilibrium seeking in a class of aggregative games with
strongly convex cost functions and affine coupling constraints. We propose simple …

Price of anarchy in electric vehicle charging control games: When Nash equilibria achieve social welfare

L Deori, K Margellos, M Prandini - Automatica, 2018 - Elsevier
We consider the problem of optimal charging of plug-in electric vehicles (PEVs). We treat
this problem as a multi-agent game, where vehicles/agents are heterogeneous since they …

On the connection between Nash equilibria and social optima in electric vehicle charging control games

L Deori, K Margellos, M Prandini - IFAC-PapersOnLine, 2017 - Elsevier
We consider the problem of optimal charging of heterogeneous plug-in electric vehicles
(PEVs). We approach the problem as a multi-agent game in the presence of constraints and …

Social optima in robust mean field LQG control: From finite to infinite horizon

BC Wang, J Huang, JF Zhang - IEEE Transactions on Automatic …, 2020 - ieeexplore.ieee.org
This article studies social optimal control of mean field linear-quadratic-Gaussian models
with uncertainty. Specially, the uncertainty is represented by an uncertain drift, which is …

Robust mean field social control problems with applications in analysis of opinion dynamics

BC Wang, Y Liang - International Journal of Control, 2022 - Taylor & Francis
This paper investigates the social optimality of linear quadratic mean field control systems
with unmodelled dynamics. The objective of agents is to optimise the social cost, which is …

Connections between mean-field game and social welfare optimization

S Li, W Zhang, L Zhao - Automatica, 2019 - Elsevier
This paper studies the connection between a class of mean-field games and a social welfare
optimization problem. We consider a mean-field game in function spaces with a large …

Continuous-time integral dynamics for monotone aggregative games with coupling constraints

C De Persis, S Grammatico - arXiv preprint arXiv:1805.03270, 2018 - arxiv.org
We consider continuous-time equilibrium seeking in monotone aggregative games with
coupling constraints. We propose semi-decentralized integral dynamics and prove their …

Linear-quadratic mean field control: The invariant subspace method

X Chen, M Huang - Automatica, 2019 - Elsevier
This note studies linear quadratic (LQ) mean field social optimization problems with non-
uniform agents and indefinite state weight, and analyzes the resulting linear system of …

Linear programs for resource sharing among heterogeneous agents: the effect of random agent arrivals

A Falsone, K Margellos, S Garatti… - 2017 IEEE 56th Annual …, 2017 - ieeexplore.ieee.org
We consider a multi-agent resource sharing problem that can be represented by a linear
program. The amount of resource to be shared is fixed, and each agent adds to the linear …