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

Author

Azevedo-PerdicoÙlis, T-P ; Jank, G.

Author_Institution

Dept. de Mat., UTAD, Vila Real, Portugal

fYear

2009

fDate

June 29 2009-July 1 2009

Firstpage

1

Lastpage

8

Abstract

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 The gas dynamics in a single pipeline is modelled in this theoretical framework, and an algorithm withdrawn from the exposed procedure to calculate the equilibrium point is applied to a simple network example.

Keywords

decision making; decision theory; game theory; gas industry; multidimensional systems; open loop systems; pipelines; N-player Nash game equilibrium; affine repetitive process model; decision making; gas distribution network; gas pipeline dynamics model; linear quadratic OL-Nash game; open loop information pattern; quadratic performance criteria; smoothing process; two-dimensional system dynamics; Boundary conditions; Costs; Game theory; Hilbert space; Pipelines; Smoothing methods; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

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

Conference_Location

Thessaloniki

Print_ISBN

978-1-4244-2797-0

Electronic_ISBN

978-1-4244-2798-7

Type

conf

DOI

10.1109/NDS.2009.5191749

Filename

5191749