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.
|Title of host publication||Proceedings of the European Control Conference 2020, ECC 2020|
|Place of Publication||Piscataway, NJ, USA|
|Publication status||Published - 2020|
|Event||18th European Control Conference, ECC 2020 - Saint Petersburg, Russian Federation|
Duration: 12 May 2020 → 15 May 2020
|Conference||18th European Control Conference, ECC 2020|
|Period||12/05/20 → 15/05/20|