Abstract
In this paper, we consider continuous-time semidecentralized dynamics for the equilibrium computation in a class of aggregative games. Specifically, we propose a scheme where decentralized projected-gradient dynamics are driven by an integral control law. To prove global exponential convergence of the proposed dynamics to an aggregative equilibrium, we adopt a quadratic Lyapunov function argument. We derive a sufficient condition for global convergence that we position within the recent literature on aggregative games, and in particular we show that it improves on established results.
| Original language | English |
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| Title of host publication | Proceedings of 2018 European Control Conference (ECC2018) |
| Place of Publication | Piscataway, NJ, USA |
| Publisher | IEEE |
| Pages | 1042-1047 |
| ISBN (Print) | 978-3-9524-2699-9 |
| DOIs | |
| Publication status | Published - 2018 |
| Event | 16th European Control Conference, ECC 2018 - Limassol, Cyprus Duration: 12 Jun 2018 → 15 Jun 2018 http://www.ecc18.eu/ |
Conference
| Conference | 16th European Control Conference, ECC 2018 |
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| Abbreviated title | ECC 2018 |
| Country/Territory | Cyprus |
| City | Limassol |
| Period | 12/06/18 → 15/06/18 |
| Internet address |
Keywords
- Noncooperative game theory
- Multi-agent systems
- Decentralized control
- Projected dynamical systems