ABSTRACT. We discuss some results concerning the boundary controllability and stabilizability of a hyperbolic system of conservation laws frac{partial u}{partial t}+frac{partial f(u)}{partial x}=0, tgeq 0,~~xin ]0,1[, where we regard the boundary data (or a partial number of their components) as boundary input controls. In particular, we consider the problem of the global exact boundary controllability of a first order linear hyperbolic system with constant coefficients relative to the linear boundary conditions.
F. Ancona, G.M. Coclite (2005). On the boundary controllability of first order hyperbolic systems.
On the boundary controllability of first order hyperbolic systems
ANCONA, FABIO;
2005
Abstract
ABSTRACT. We discuss some results concerning the boundary controllability and stabilizability of a hyperbolic system of conservation laws frac{partial u}{partial t}+frac{partial f(u)}{partial x}=0, tgeq 0,~~xin ]0,1[, where we regard the boundary data (or a partial number of their components) as boundary input controls. In particular, we consider the problem of the global exact boundary controllability of a first order linear hyperbolic system with constant coefficients relative to the linear boundary conditions.File in questo prodotto:
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