Existence of classical solutions and feedback stabilization for the flow in gas networks
Martin Gugat, Michaël Herty (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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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 -norm.