| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 696325 | Automatica | 2012 | 6 Pages |
Abstract
Explicit boundary dissipative conditions are given for the exponential stability in L2L2-norm of one-dimensional linear hyperbolic systems of balance laws ∂tξ+Λ∂xξ−Mξ=0 over a finite 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.
Related Topics
Physical Sciences and Engineering
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Control and Systems Engineering
Authors
Ababacar Diagne, Georges Bastin, Jean-Michel Coron,