We consider a strictly hyperbolic system of conservation laws in one space dimension on the bounded interval $[0,1]$. Assuming that the boundaries at $x=0$ and $x=1$ are non characteristic, we establish a general result on the asymptotic stabilization near an equilibrium state by means of controls acting only at $x=1$.

Asymptotic stabilization of systems of conservation laws by controls acting at a single boundary point

ANCONA, FABIO;MARSON, ANDREA
2007

Abstract

We consider a strictly hyperbolic system of conservation laws in one space dimension on the bounded interval $[0,1]$. Assuming that the boundaries at $x=0$ and $x=1$ are non characteristic, we establish a general result on the asymptotic stabilization near an equilibrium state by means of controls acting only at $x=1$.
2007
Control methods in PDE-dynamical systems
9780821837665
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2436925
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