Stabilization of the Gas Flow in Star-Shaped Networks by Feedback Controls with Varying Delay

Abstract : We consider the subcritical gas flow through star-shaped pipe networks. The gas flow is modeled by the isothermal Euler equations with friction. We stabilize the isothermal Euler equations locally around a given stationary state on a finite time interval. For the stabilization we apply boundary feedback controls with time-varying delays. The delays are given by C1-functions with bounded derivatives. In order to analyze the system evolution, we introduce an L2-Lyapunov function with delay terms. The boundary controls guarantee the exponential decay of the Lyapunov function with time.
Type de document :
Communication dans un congrès
Dietmar Hömberg; Fredi Tröltzsch. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. Springer, IFIP Advances in Information and Communication Technology, AICT-391, pp.255-265, 2013, System Modeling and Optimization. 〈10.1007/978-3-642-36062-6_26〉
Liste complète des métadonnées

Littérature citée [15 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-01347545
Contributeur : Hal Ifip <>
Soumis le : jeudi 21 juillet 2016 - 11:20:32
Dernière modification le : jeudi 21 juillet 2016 - 17:03:01

Fichier

978-3-642-36062-6_26_Chapter.p...
Fichiers produits par l'(les) auteur(s)

Licence


Distributed under a Creative Commons Paternité 4.0 International License

Identifiants

Citation

Martin Gugat, Markus Dick, Günter Leugering. Stabilization of the Gas Flow in Star-Shaped Networks by Feedback Controls with Varying Delay. Dietmar Hömberg; Fredi Tröltzsch. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. Springer, IFIP Advances in Information and Communication Technology, AICT-391, pp.255-265, 2013, System Modeling and Optimization. 〈10.1007/978-3-642-36062-6_26〉. 〈hal-01347545〉

Partager

Métriques

Consultations de la notice

32

Téléchargements de fichiers

58