A continuous-time distributed generalized Nash equilibrium seeking algorithm over networks for double-integrator agents

Conference paper (2020)

Authors

M. Bianchi Team Bart De Schutter - Mechanical, Maritime and Materials Engineering
S. Grammatico Team Bart De Schutter - Mechanical, Maritime and Materials Engineering
Research Group
Team Bart De Schutter (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2020 M. Bianchi, S. Grammatico
DOI
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https://doi.org/10.23919/ECC51009.2020.9143714
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Published Date

2020

Language

English

Reuse Rights

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Bart De Schutter

Abstract

We consider a system of single- or double-integrator agents playing a generalized Nash game over a network, in a partial-information scenario. We address the generalized Nash equilibrium seeking problem by designing a fully-distributed dynamic controller, based on continuous-time consensus and primal-dual gradient dynamics. Our main technical contribution is to show convergence of the closed-loop system to a variational equilibrium, under strong monotonicity and Lipschitz continuity of the game mapping, by leveraging monotonicity properties and stability theory for projected dynamical systems.

Files

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