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

De Persis, Claudio; Grammatico, S.

doi:10.1109/TAC.2019.2939639

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

Journal article (2020)

Authors

Claudio De Persis Rijksuniversiteit Groningen

S. Grammatico

DOI: 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

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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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