This paper deals with the design of feedback strategies for a class of N-players linear quadratic differential games. We assume that no player knows precisely the model of the game and that each player has a different `idea' concerning the model of the game itself; this approach is captured assuming that each player models the state equation with a system affected by uncertainties and the uncertain models are different each other. The proposed strategies guarantee to each player a given performance bound and, to be evaluated, require the solution of N coupled Riccati differential equations containing certain multiplier functions.

Robust Strategies for Nash Linear Quadratic Games Under Uncertain Dynamics

MATTEI, Massimiliano;
1998

Abstract

This paper deals with the design of feedback strategies for a class of N-players linear quadratic differential games. We assume that no player knows precisely the model of the game and that each player has a different `idea' concerning the model of the game itself; this approach is captured assuming that each player models the state equation with a system affected by uncertainties and the uncertain models are different each other. The proposed strategies guarantee to each player a given performance bound and, to be evaluated, require the solution of N coupled Riccati differential equations containing certain multiplier functions.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11591/174450
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