Gugat M, Dick M, Leugering G (2013)
Publication Type: Conference contribution
Publication year: 2013
Publisher: Springer Verlag
Edited Volumes: IFIP Advances in Information and Communication Technology
Series: IFIP Advances in Information and Communication Technology
City/Town: Berlin, Heidelberg
Book Volume: 391
Pages Range: 255-265
Conference Proceedings Title: System Modeling and Optimization
Event location: Berlin
URI: http://link.springer.com/chapter/10.1007/978-3-642-36062-6_26
DOI: 10.1007/978-3-642-36062-6_26
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 C 1-functions with bounded derivatives. In order to analyze the system evolution, we introduce an L 2-Lyapunov function with delay terms. The boundary controls guarantee the exponential decay of the Lyapunov function with time. © 2013 IFIP International Federation for Information Processing.
APA:
Gugat, M., Dick, M., & Leugering, G. (2013). Stabilization of the Gas Flow in Star-Shaped Networks by Feedback Controls with Varying Delay. In System Modeling and Optimization (pp. 255-265). Berlin: Berlin, Heidelberg: Springer Verlag.
MLA:
Gugat, Martin, Markus Dick, and Günter Leugering. "Stabilization of the Gas Flow in Star-Shaped Networks by Feedback Controls with Varying Delay." Proceedings of the 25th IFIP TC 7 Conference, CSMO 2011, Berlin Berlin, Heidelberg: Springer Verlag, 2013. 255-265.
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