On the relaxation approximation of boundary control of the isothermal Euler equations

Journal article
(Original article)


Publication Details

Author(s): Hirsch-Dick M, Gugat M, Herty M, Steffensen S
Journal: International Journal of Control
Publisher: Taylor & Francis
Publication year: 2012
Volume: 85
Journal issue: 11
Pages range: 1766-1778
ISSN: 0020-7179
Language: English


Abstract


We consider the isothermal Euler equations without friction that simulate gas flow through a pipe. We consider the problem of boundary stabilisation of this system locally around a given stationary state. We present a feedback law that is linear in the physical variables and yields exponential decay of the system state. For the numerical solution of hyperbolic systems of conservation laws, the Jin-Xin relaxation scheme can be used. Therefore, we also consider the boundary stabilisation of the relaxation system by the linear Riemann feedback and present numerical examples that show the rapid exponential decay of the stabilised system. © 2012 Taylor & Francis Group, LLC.



FAU Authors / FAU Editors

Gugat, Martin apl. Prof. Dr.
Lehrstuhl für Angewandte Mathematik
Dick, Markus
Lehrstuhl für Angewandte Mathematik


External institutions with authors

Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen


How to cite

APA:
Hirsch-Dick, M., Gugat, M., Herty, M., & Steffensen, S. (2012). On the relaxation approximation of boundary control of the isothermal Euler equations. International Journal of Control, 85(11), 1766-1778. https://dx.doi.org/10.1080/00207179.2012.703787

MLA:
Hirsch-Dick, Markus, et al. "On the relaxation approximation of boundary control of the isothermal Euler equations." International Journal of Control 85.11 (2012): 1766-1778.

BibTeX: 

Last updated on 2018-09-08 at 16:08