What is it about?
The difficulty of stabilizing gas pipeline flow increases with the length of the pipe: In this paper we show that while for sufficiently short pipes boundary feedback stabilization of the gas flow governed by a semilinear model is possible, this does not hold if the pipes are sufficiently large.
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Why is it important?
In gas networks, there is only a small number of controllers. This paper shows that if the distance between the controllers is too large, this limits the effects that can be achieved by suiable control actions.
Perspectives
As a mathematical perspective, the study of the question about the limits of stabilizability raised in this paper should also be answered for more precise quasilinear models.
Martin Gugat
Friedrich-Alexander-Universitat Erlangen-Nurnberg
Read the Original
This page is a summary of: 3 Limits of stabilizability for a semilinear model for gas pipeline flow, March 2022, De Gruyter,
DOI: 10.1515/9783110695984-003.
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