Minimax Team Decision Problems

Minimax Team Decision Problems,10.1109/ACC.2007.4282858,Ather Gattami,Bo Bernhardsson

Minimax Team Decision Problems  
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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 Hinfin control problem. It shows that information exchange with neighbours on the graph only, is enough to obtain a linear optimal policy.
Conference: American Control Conference - ACC , pp. 766-771, 2007
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