The good behaviour of the gas network: boundary control, observability and stability

This article the gas network is modelled as a repetitive process with smoothing and an explicit representation for its solution is presented. By an adequate choice of the inhomogeneity, the system is steered through boundary data control. We state explicit conditions for boundary control of the gas networks as well as observability criteria. Using these notions, some 2D criteria of stability are also applied to gas networks. To finalise, we use a 2D transfer function representation to withdraw a stability criterium suitable to being used in the practice with the use of a computer.