Advanced

Minimax Team Decision Problems

Gattami, Ather LU and Bernhardsson, Bo LU (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
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
external identifiers
  • WOS:000252258803011
language
English
LU publication?
yes
id
620f87be-2557-4b33-abc8-0bdddc8a86f6 (old id 954441)
date added to LUP
2008-01-25 09:42:52
date last changed
2016-04-16 11:49:18
@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},
  keyword      = {Multiplayer minimax quadratic games,distributed control,H infinity},
  language     = {eng},
  pages        = {4333--4338},
  title        = {Minimax Team Decision Problems},
  year         = {2007},
}