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

ESAIM: Control, Optimisation and Calculus of Variations (2011)

- Volume: 17, Issue: 1, page 28-51
- ISSN: 1292-8119

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topGugat, Martin, and Herty, Michaël. "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. <http://eudml.org/doc/197381>.

@article{Gugat2011,

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.
},

author = {Gugat, Martin, Herty, Michaël},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Classical solution; networked hyperbolic systems; gas networks; feedback law; Lyapunov function; classical solution},

language = {eng},

month = {2},

number = {1},

pages = {28-51},

publisher = {EDP Sciences},

title = {Existence of classical solutions and feedback stabilization for the flow in gas networks},

url = {http://eudml.org/doc/197381},

volume = {17},

year = {2011},

}

TY - JOUR

AU - Gugat, Martin

AU - Herty, Michaël

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

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2011/2//

PB - EDP Sciences

VL - 17

IS - 1

SP - 28

EP - 51

AB -
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.

LA - eng

KW - Classical solution; networked hyperbolic systems; gas networks; feedback law; Lyapunov function; classical solution

UR - http://eudml.org/doc/197381

ER -

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