Controlling complex networks with complex nodes

RM D'Souza, M di Bernardo, YY Liu - Nature Reviews Physics, 2023 - nature.com
Real-world networks often consist of millions of heterogenous elements that interact at
multiple timescales and length scales. The fields of statistical physics and control theory both …

Dynamical systems coupled with monotone set-valued operators: Formalisms, applications, well-posedness, and stability

B Brogliato, A Tanwani - Siam Review, 2020 - SIAM
This survey article addresses the class of continuous-time systems where a system modeled
by ordinary differential equations is coupled with a static or time-varying set-valued operator …

Distributed Nash equilibrium seeking in games with partial decision information: A survey

M Ye, QL Han, L Ding, S Xu - Proceedings of the IEEE, 2023 - ieeexplore.ieee.org
Nash equilibrium, as an essential strategic profile in game theory, is of both practical
relevance and theoretical significance due to its wide penetration into various fields, such as …

An operator splitting approach for distributed generalized Nash equilibria computation

P Yi, L Pavel - Automatica, 2019 - Elsevier
In this paper, we propose a distributed algorithm for computation of a generalized Nash
equilibrium (GNE) in noncooperative games over networks. We consider games in which the …

Distributed GNE seeking under partial-decision information over networks via a doubly-augmented operator splitting approach

L Pavel - IEEE Transactions on Automatic Control, 2019 - ieeexplore.ieee.org
We consider distributed computation of generalized Nash equilibrium (GNE) over networks,
in games with shared coupling constraints. Existing methods require that each player has …

Distributed generalized Nash equilibrium seeking for energy sharing games in prosumers

Z Wang, F Liu, Z Ma, Y Chen, M Jia… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
With the proliferation of distributed generators and energy storage systems, traditional
passive consumers in power systems have been gradually evolving into the so-called …

Dynamic NE seeking for multi-integrator networked agents with disturbance rejection

AR Romano, L Pavel - IEEE Transactions on Control of …, 2019 - ieeexplore.ieee.org
In this paper, we consider game problems played by (multi)-integrator agents, subject to
external disturbances. We propose Nash equilibrium seeking dynamics based on gradient …

[HTML][HTML] Continuous-time fully distributed generalized Nash equilibrium seeking for multi-integrator agents

M Bianchi, S Grammatico - Automatica, 2021 - Elsevier
We consider strongly monotone games with convex separable coupling constraints, played
by dynamical agents, in a partial-decision information scenario. We start by designing …

Distributed averaging integral Nash equilibrium seeking on networks

C De Persis, S Grammatico - Automatica, 2019 - Elsevier
Continuous-time gradient-based Nash equilibrium seeking algorithms enjoy a passivity
property under a suitable monotonicity assumption, which has been exploited to design …

The confluence of networks, games, and learning a game-theoretic framework for multiagent decision making over networks

T Li, G Peng, Q Zhu, T Başar - IEEE Control Systems Magazine, 2022 - ieeexplore.ieee.org
Multiagent decision making over networks has recently attracted an exponentially growing
number of researchers from the systems and control community. The area has gained …