Title :
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
fDate :
June 29 2009-July 1 2009
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 The gas dynamics in a single pipeline is modelled in this theoretical framework, and an algorithm withdrawn from the exposed procedure to calculate the equilibrium point is applied to a simple network example.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;
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
DOI :
10.1109/NDS.2009.5191749
