Skip to main navigation Skip to search Skip to main content

Distributed Nash Equilibrium Seeking for Aggregative Games via Derivative Feedback

  • Yawei Zhang*
  • , Shu Liang
  • , Haibo Ji
  • *Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Abstract

In this paper, we investigate a continuous-time distributed Nash equilibrium seeking algorithm for a class of aggregative games, with application to the real-time pricing demand response. To seek the Nash equilibrium via local communication among neighbors, by combining projected gradient dynamics and consensus tracking dynamics, we propose a novel distributed algorithm for the players. We prove the convergence of the distributed algorithm via a constructed Lyapunov function and the variational inequality technique, and show an illustrative simulation related to the energy consumption control in smart grids. © ICROS, KIEE and Springer 2020.
Original languageEnglish
Pages (from-to)1075-1082
Number of pages8
JournalInternational Journal of Control, Automation and Systems
Volume18
Issue number5
Online published28 Nov 2019
DOIs
Publication statusPublished - May 2020
Externally publishedYes

Research Keywords

  • Aggregative games
  • distributed algorithm
  • energy consumption control
  • Nash equilibrium
  • projected gradient dynamics

Fingerprint

Dive into the research topics of 'Distributed Nash Equilibrium Seeking for Aggregative Games via Derivative Feedback'. Together they form a unique fingerprint.

Cite this