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feedback law

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Existence of classical solutions and feedback stabilization for the flow in gas networks
Martin Gugat, Michaël Herty
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 17 / Issue 1 / January 2011

Published online by Cambridge University Press:

11 August 2009, pp. 28-51

Print publication:

January 2011
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We consider the flow of gas through pipelines controlled by a compressorstation. Under a subsonic flow assumption we prove the existenceof 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 compressorstation. We introduce a Lyapunov function and prove exponential decay with respect to the L2-norm.