Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Minimax Team Decision Problems

Gattami, Ather LU and Bernhardsson, Bo LU orcid (2007) American Control Conference, 2007 p.4333-4338
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 infinity

control problem. It shows that the information

structure restricted to exchange information

with neighbours only, is enough to obtain a

linear optimal feedback law.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to conference
publication status
published
subject
keywords
Multiplayer minimax quadratic games, distributed control, H infinity
pages
4333 - 4338
conference name
American Control Conference, 2007
conference location
New York, NY, United States
conference dates
2007-07-11 - 2007-07-13
external identifiers
  • wos:000252258803011
language
English
LU publication?
yes
id
620f87be-2557-4b33-abc8-0bdddc8a86f6 (old id 954441)
date added to LUP
2016-04-04 13:53:51
date last changed
2018-11-21 21:17:02
@misc{620f87be-2557-4b33-abc8-0bdddc8a86f6,
  abstract     = {{We consider the problem of distributed decision making <br/><br>
in a quadratic game between a "team" of players <br/><br>
and nature. Each player has limited information that<br/><br>
could be different from the other players in the team.<br/><br>
We show that if there is a solution to the minimax <br/><br>
team problem, then the linear policies are optimal, and<br/><br>
we show how to find the linear optimal solution by<br/><br>
solving a linear matrix inequality. The result<br/><br>
is used to solve the distributed H infinity<br/><br>
control problem. It shows that the information<br/><br>
structure restricted to exchange information <br/><br>
with neighbours only, is enough to obtain a<br/><br>
linear optimal feedback law.}},
  author       = {{Gattami, Ather and Bernhardsson, Bo}},
  keywords     = {{Multiplayer minimax quadratic games; distributed control; H infinity}},
  language     = {{eng}},
  pages        = {{4333--4338}},
  title        = {{Minimax Team Decision Problems}},
  url          = {{https://lup.lub.lu.se/search/files/6231315/8862970.pdf}},
  year         = {{2007}},
}