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Linear quadratic OL-Nash games on repetitive processes with smoothing on the gas dynamics

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2 Author(s)
Azevedo-Perdicoulis, T.-P. ; Dept. de Mat., UTAD, Vila Real, Portugal ; Jank, G.

This article presents necessary and sufficient results for existence and uniqueness of an equilibrium of a N-player Nash game with quadratic performance criteria and an affine repetitive process with smoothing describing the two dimensional (2D) system dynamics, under open loop information pattern. The gas dynamics in a single pipeline is modelled in this theoretical framework, and an algorithm withdrawn from the exposed procedure to calculate the equilibrium point is applied to a simple network example.

Published in:

Multidimensional (nD) Systems, 2009. nDS 2009. International Workshop on

Date of Conference:

June 29 2009-July 1 2009