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

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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.

Original languageEnglish
Title of host publicationProceedings of the European Control Conference 2020, ECC 2020
Place of PublicationPiscataway, NJ, USA
PublisherIEEE
Pages1474-1479
ISBN (Electronic)978-3-907144-01-5
ISBN (Print)978-3-907144-02-2
DOIs
Publication statusPublished - 2020
Event18th European Control Conference, ECC 2020 - Saint Petersburg, Russian Federation
Duration: 12 May 202015 May 2020

Conference

Conference18th European Control Conference, ECC 2020
CountryRussian Federation
CitySaint Petersburg
Period12/05/2015/05/20

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