Classical solutions and feedback stabilization for the gas flow in a sequence of pipes

Hirsch-Dick M, Gugat M, Leugering G (2010)

Publication Type: Journal article, Original article

Publication year: 2010

Journal

Networks and Heterogeneous Media American Institute of Mathematical Sciences (AIMS)

Publisher: American Institute of Mathematical Sciences (AIMS)

Book Volume: 5

Pages Range: 691-709

Journal Issue: 4

URI: http://aimsciences.org/journals/displayArticles.jsp?paperID=5645

DOI: 10.3934/nhm.2010.5.691

Abstract

We consider the subcritical flow in gas networks consisting of a finite linear sequence of pipes coupled by compressor stations. Such networks are important for the transportation of natural gas over large distances to ensure sustained gas supply. We analyse the system dynamics in terms of Riemann invariants and study stationary solutions as well as classical non-stationary solutions for a given finite time interval. Furthermore, we construct feedback laws to stabilize the system locally around a given stationary state. To do so we use a Lyapunov function and prove exponential decay with respect to the L²-norm. © American Institute of Mathematical Sciences.

Authors with CRIS profile

Markus Dick Lehrstuhl für Angewandte Mathematik Martin Gugat Lehrstuhl für Angewandte Mathematik Günter Leugering Lehrstuhl für Angewandte Mathematik

How to cite

APA:

Hirsch-Dick, M., Gugat, M., & Leugering, G. (2010). Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Networks and Heterogeneous Media, 5(4), 691-709. https://dx.doi.org/10.3934/nhm.2010.5.691

MLA:

Hirsch-Dick, Markus, Martin Gugat, and Günter Leugering. "Classical solutions and feedback stabilization for the gas flow in a sequence of pipes." Networks and Heterogeneous Media 5.4 (2010): 691-709.

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