Disturbance attenuation of linear quadratic OL-Nash games on repetitive processes with smoothing on the gas dynamics

Article

Abstract

This article presents necessary and sufficient results for existence and uniqueness of an equilibrium of a N-player disturbed 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 The gas dynamics in a single pipeline is modelled in this theoretical framework, and an algorithm withdrawn from the exposed procedure to calculate the equilibrium point is applied to a simple network example.

Keywords

Disturbed game Linear Quadratic game Nash game Repetitive process 2D-system 

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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.ISR–Coimbra & Departamento de EngenhariasUTADVila RealPortugal
  2. 2.Department II of MathematicsRWTH–University of TechnologyAachenGermany

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