Gugat M, Herty M (2011)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2011
Publisher: EDP Sciences
Book Volume: 17
Pages Range: 28-51
Journal Issue: 1
DOI: 10.1051/cocv/2009035
Open Access Link: http://www.esaim-cocv.org/articles/cocv/pdf/2011/01/cocv0926.pdf
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.
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://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