Dither Re-Use in Nash Equilibrium Seeking
| Autor: | William H. Moase, Ronny Kutadinata, Chris Manzie |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Computer Science::Computer Science and Game Theory
Mathematical optimization Adaptive control Function (mathematics) Computer Science Applications symbols.namesake Exponential stability Control and Systems Engineering Control theory Nash equilibrium symbols Dither Electrical and Electronic Engineering Epsilon-equilibrium Price of stability Game theory Mathematics |
| Zdroj: | IEEE Transactions on Automatic Control. 60:1433-1438 |
| ISSN: | 1558-2523 0018-9286 |
| DOI: | 10.1109/tac.2014.2347212 |
| Popis: | Nash equilibrium seeking (NES) scheme consists of a number of decentralized extremum-seeking (ES) “agents”, each controlling an input such that an associated (selfish) cost is regulated to its steady-state Nash equilibrium. A non-local stability result for the NES scheme is provided which allows two agents to use the same dither signal if the effect of each agent on the other's steady-state cost function is sufficiently weak. Its application to plants with quadratic cost functions is presented as an example. It is then demonstrated in simulation that, by reducing the number of distinct dither signals, the proposed scheme still has acceptable convergence properties, while design effort is reduced. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|