Details
| Original language | English |
|---|---|
| Pages (from-to) | 5791-5797 |
| Number of pages | 7 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 68 |
| Issue number | 9 |
| Publication status | Published - 20 Dec 2022 |
Abstract
Differential graphical games model the interaction between networked dynamical agents that do not possess global state information available. In general, this lack of global information prevents the agents from playing their optimal Nash strategies. In this article, two different solution concepts for graphical games are proposed as practical alternatives when Nash equilibrium is not attainable among the players. The proposed solutions consider the case on which the players make optimistic assumptions about their neighbors, and are characterized by providing distributed, linear control policies. The robustness properties of each solution, in terms of the gain and phase margins, are also determined.
Keywords
- Differential games, distributed control, graphical games, robust control
ASJC Scopus subject areas
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Computer Science Applications
- Engineering(all)
- Electrical and Electronic Engineering
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In: IEEE Transactions on Automatic Control, Vol. 68, No. 9, 20.12.2022, p. 5791-5797.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Beyond Nash Solutions for Differential Graphical Games
AU - Lopez, Victor G.
AU - Lewis, Frank L.
AU - Liu, Mushuang
AU - Wan, Yan
PY - 2022/12/20
Y1 - 2022/12/20
N2 - Differential graphical games model the interaction between networked dynamical agents that do not possess global state information available. In general, this lack of global information prevents the agents from playing their optimal Nash strategies. In this article, two different solution concepts for graphical games are proposed as practical alternatives when Nash equilibrium is not attainable among the players. The proposed solutions consider the case on which the players make optimistic assumptions about their neighbors, and are characterized by providing distributed, linear control policies. The robustness properties of each solution, in terms of the gain and phase margins, are also determined.
AB - Differential graphical games model the interaction between networked dynamical agents that do not possess global state information available. In general, this lack of global information prevents the agents from playing their optimal Nash strategies. In this article, two different solution concepts for graphical games are proposed as practical alternatives when Nash equilibrium is not attainable among the players. The proposed solutions consider the case on which the players make optimistic assumptions about their neighbors, and are characterized by providing distributed, linear control policies. The robustness properties of each solution, in terms of the gain and phase margins, are also determined.
KW - Differential games
KW - distributed control
KW - graphical games
KW - robust control
UR - http://www.scopus.com/inward/record.url?scp=85146238582&partnerID=8YFLogxK
U2 - 10.1109/TAC.2022.3230734
DO - 10.1109/TAC.2022.3230734
M3 - Article
AN - SCOPUS:85146238582
VL - 68
SP - 5791
EP - 5797
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 9
ER -