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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
engineering
Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws
Automatica, Volume 48, No. 1, Year 2012
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Description
Explicit boundary dissipative conditions are given for the exponential stability in L2-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 SaintVenantExner equations. © 2011 Elsevier Ltd. All rights reserved.
Authors & Co-Authors
Diagne, Ababacar
Senegal, Saint-louis
Université Gaston Berger de Saint-louis
Bastin, Georges
Belgium, Louvain-la-neuve
Université Catholique de Louvain
Coron, Jean Michel
France, Paris
Laboratoire Jacques-louis Lions
Statistics
Citations: 147
Authors: 3
Affiliations: 3
Identifiers
Doi:
10.1016/j.automatica.2011.09.030
ISSN:
00051098