Time-varying constrained proximal type dynamics in multi-agent network games

Conference paper (2020)

Authors

Carlo Cenedese Rijksuniversiteit Groningen
Giuseppe Belgioioso Eindhoven University of Technology
S. Grammatico Team Bart De Schutter - Mechanical, Maritime and Materials Engineering
Ming Cao Rijksuniversiteit Groningen
Research Group
Team Bart De Schutter (Mechanical, Maritime and Materials Engineering) (TU Delft)
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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

In this paper, we study multi-agent network games subject to affine time-varying coupling constraints and a time-varying communication network. We focus on the class of games adopting proximal dynamics and study their convergence to a persistent equilibrium. The assumptions considered to solve the problem are discussed and motivated. We develop an iterative equilibrium seeking algorithm, using only local information, that converges to a special class of game equilibria. Its derivation is motivated by several examples, showing that the original game dynamics fail to converge. Finally, we apply the designed algorithm to solve a constrained consensus problem, illustrating the theoretical results.

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