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 language | English |
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| Title of host publication | Proceedings of the European Control Conference 2020, ECC 2020 |
| Place of Publication | Piscataway, NJ, USA |
| Publisher | IEEE |
| Pages | 1474-1479 |
| ISBN (Electronic) | 978-3-907144-01-5 |
| ISBN (Print) | 978-3-907144-02-2 |
| DOIs | |
| Publication status | Published - 2020 |
| Event | 18th European Control Conference, ECC 2020 - Saint Petersburg, Russian Federation Duration: 12 May 2020 → 15 May 2020 |
Conference
| Conference | 18th European Control Conference, ECC 2020 |
|---|---|
| Country/Territory | Russian Federation |
| City | Saint Petersburg |
| Period | 12/05/20 → 15/05/20 |
Bibliographical note
Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-careOtherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.