Abstract
AbstractExplicit boundary dissipative conditions are given for the exponential stability in L2-norm of one-dimensional linear hyperbolic sytems of balance laws ∂tξ+Λ∂xξ-Mξ=0 over a finite space interval, when the matrix M is marginally diagonally stable. The result is illustrated with an application to boundary feedback stabilisation of open channels represented by linearised Saint-Venant-Exner equations.
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