Existence of classical solutions and feedback stabilization for the flow in gas networks

Gugat M, Herty M (2011)


Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2011

Journal

Publisher: EDP Sciences

Book Volume: 17

Pages Range: 28-51

Journal Issue: 1

URI: http://www.esaim-cocv.org/index.php?option=article&access=standard&Itemid=129&url=/articles/cocv/abs/first/cocv0926/cocv0926.html

DOI: 10.1051/cocv/2009035

Open Access Link: http://www.esaim-cocv.org/articles/cocv/pdf/2011/01/cocv0926.pdf

Abstract

We consider the flow of gas through pipelines controlled by a compressor station. Under a subsonic flow assumption we prove the existence of classical solutions for a given finite time interval. The existence result is used to construct Riemannian feedback laws and to prove a stabilization result for a coupled system of gas pipes with a compressor station. We introduce a Lyapunov function and prove exponential decay with respect to the L2-norm.

Authors with CRIS profile

Involved external institutions

How to cite

APA:

Gugat, M., & Herty, M. (2011). Existence of classical solutions and feedback stabilization for the flow in gas networks. Esaim-Control Optimisation and Calculus of Variations, 17(1), 28-51. https://dx.doi.org/10.1051/cocv/2009035

MLA:

Gugat, Martin, and Michael Herty. "Existence of classical solutions and feedback stabilization for the flow in gas networks." Esaim-Control Optimisation and Calculus of Variations 17.1 (2011): 28-51.

BibTeX: Download