Controlling complex networks with complex nodes
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 …
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 …
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 …
relevance and theoretical significance due to its wide penetration into various fields, such as …
An operator splitting approach for distributed generalized Nash equilibria computation
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 …
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 …
in games with shared coupling constraints. Existing methods require that each player has …
Distributed generalized Nash equilibrium seeking for energy sharing games in prosumers
With the proliferation of distributed generators and energy storage systems, traditional
passive consumers in power systems have been gradually evolving into the so-called …
passive consumers in power systems have been gradually evolving into the so-called …
Dynamic NE seeking for multi-integrator networked agents with disturbance rejection
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 …
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 …
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 …
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
Multiagent decision making over networks has recently attracted an exponentially growing
number of researchers from the systems and control community. The area has gained …
number of researchers from the systems and control community. The area has gained …