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Minimax team decision problems

Gattami, Ather LU and Bernhardsson, Bo LU (2007) 2007 American Control Conference, ACC In Proceedings of the American Control Conference p.766-771
Abstract

We consider the problem of distributed decision making in a quadratic game between a team of players and nature. Each player has limited information that could be different from the other players in the team. We show that if there is a solution to the minimax team problem, then the linear policies are optimal, and we show how to find the linear optimal solution by solving a linear matrix inequality. The result is used to solve the distributed H∞ control problem. It shows that information exchange with neighbours on the graph only, is enough to obtain a linear optimal policy.

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author
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organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Proceedings of the 2007 American Control Conference, ACC
series title
Proceedings of the American Control Conference
article number
4282858
pages
6 pages
conference name
2007 American Control Conference, ACC
conference location
New York, NY, United States
conference dates
2007-07-09 - 2007-07-13
external identifiers
  • scopus:46449119505
ISSN
0743-1619
ISBN
1424409888
9781424409884
DOI
10.1109/ACC.2007.4282858
language
English
LU publication?
yes
id
f37d71f7-0e33-4e83-a4a1-69009986ccba
date added to LUP
2020-07-07 12:38:51
date last changed
2020-07-15 14:29:40
@inproceedings{f37d71f7-0e33-4e83-a4a1-69009986ccba,
  abstract     = {<p>We consider the problem of distributed decision making in a quadratic game between a team of players and nature. Each player has limited information that could be different from the other players in the team. We show that if there is a solution to the minimax team problem, then the linear policies are optimal, and we show how to find the linear optimal solution by solving a linear matrix inequality. The result is used to solve the distributed H<sub>∞</sub> control problem. It shows that information exchange with neighbours on the graph only, is enough to obtain a linear optimal policy.</p>},
  author       = {Gattami, Ather and Bernhardsson, Bo},
  booktitle    = {Proceedings of the 2007 American Control Conference, ACC},
  isbn         = {1424409888},
  issn         = {0743-1619},
  language     = {eng},
  month        = {12},
  pages        = {766--771},
  series       = {Proceedings of the American Control Conference},
  title        = {Minimax team decision problems},
  url          = {http://dx.doi.org/10.1109/ACC.2007.4282858},
  doi          = {10.1109/ACC.2007.4282858},
  year         = {2007},
}