What is it about?
Gas distribution networks are an important part of our infrastructure. In order to develop methods to operate these complex systems more efficiently, the mathematical modelling of gas network and the corresponding control and optimal control problems are essential. The flow is governed by a system of hyperbolic partial differential equations. The operation of the network is modelled by problems of boundary control.
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Why is it important?
In the process to go to renewable energy, gas and the corresponding pipeline networks play a key role on account of techniques such as power to gas.
Perspectives
While in the contribution the problem of boundary stabilization for a single pipeline is considered, for the application it is essentail to study also the corresponding problems for gas networks. In these gas networks often cycles appear that lead to a loss of exact controllability properties.
Martin Gugat
Friedrich-Alexander-Universitat Erlangen-Nurnberg
Read the Original
This page is a summary of: Neumann boundary feedback stabilization for a nonlinear wave equation: A strict $H^2$-lyapunov function, Mathematical Control & Related Fields, January 2017, American Institute of Mathematical Sciences (AIMS),
DOI: 10.3934/mcrf.2017015.
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