Continuous-time integral dynamics for a class of aggregative games with coupling constraints

Journal article (2020)

Authors

Claudio De Persis Rijksuniversiteit Groningen
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 Claudio De Persis, S. Grammatico
DOI
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https://doi.org/10.1109/TAC.2019.2939639
Multi-agent systems Decentralized control Aggregative game theory Projected dynamical systems
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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 continuous-time equilibrium seeking in a class of aggregative games with strongly convex cost functions and affine coupling constraints. We propose simple, semi-decentralized integral dynamics and prove their global asymptotic convergence to a variational generalized aggregative or Nash equilibrium. The proof is based on Lyapunov arguments and invariance techniques for differential inclusions.

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