Preprint 2001-033

On the Boundary Control of Systems of Conservation Laws

Alberto Bressan and Giuseppe Maria Coclite

Abstract: The paper is concerned with the boundary controllability of entropy weak solutions to hyperbolic systems of conservation laws. We prove a general result on the asymptotic stabilization of a system near a constant state. On the other hand, we give an example showing that exact controllability in finite time cannot be achieved, in general.

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Alberto Bressan, <>
Giuseppe Maria Coclite, <>
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<> September 3 2001.

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