On the relaxation approximation of boundary control of the isothermal Euler equations
Hirsch-Dick M, Gugat M, Herty M, Steffensen S (2012)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2012
Journal
Publisher: Taylor & Francis
Book Volume: 85
Pages Range: 1766-1778
Journal Issue: 11
DOI: 10.1080/00207179.2012.703787
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.
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Germany (DE)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.
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