Ababacar DIAGNE | Université Gaston Berger de Saint-Louis, Sénégal (original) (raw)
Supervisors: PR JESPER OPPELSTRUP and PR ABDOU SENE
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St Francis Xavier University (Nova Scotia, Canada)
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Papers by Ababacar DIAGNE
This paper presents an algebraic method to design a linear feedback control for regulating the wa... more This paper presents an algebraic method to design a linear feedback control for regulating the water flow in open channels. We deal with a hyperbolic system of partial differential equations describing the behavior of the water flow and the sediment transport. By using an a priori estimation techniques and the Faedo-Galerkin method, we build a stabilizing boundary control. This control law ensures a decrease of the energy and convergence of the controlled system.
a b s t r a c t Explicit boundary dissipative conditions are given for the exponential stability ... more a b s t r a c t Explicit boundary dissipative conditions are given for the exponential stability in L 2 -norm of onedimensional linear hyperbolic systems of balance laws ∂ t ξ + Λ∂ x ξ − 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.
This paper presents an algebraic method to design a linear feedback control for regulating the wa... more This paper presents an algebraic method to design a linear feedback control for regulating the water flow in open channels. We deal with a hyperbolic system of partial differential equations describing the behavior of the water flow and the sediment transport. By using an a priori estimation techniques and the Faedo-Galerkin method, we build a stabilizing boundary control. This control law ensures a decrease of the energy and convergence of the controlled system.
a b s t r a c t Explicit boundary dissipative conditions are given for the exponential stability ... more a b s t r a c t Explicit boundary dissipative conditions are given for the exponential stability in L 2 -norm of onedimensional linear hyperbolic systems of balance laws ∂ t ξ + Λ∂ x ξ − 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.