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Control of shallow water and sediment continuity coupled system

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Abstract

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.

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Authors and Affiliations

  1. Université Gaston Berger, UFR SAT, BP 234, Saint Louis, Senegal

    Ababacar Diagne

  2. Université Gaston Berger, UFR S2ATA, BP 234, Saint Louis, Senegal

    Abdou Sène

  3. Division of Scientific Computing, Department of Information Technology, Uppsala University, Box 337, 751 05 , Uppsala, Sweden

    Ababacar Diagne

Authors
  1. Ababacar Diagne
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  2. Abdou Sène
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Correspondence to Ababacar Diagne.

Additional information

This work is supported by grants from International Science Programme Program-Sweden, Aires-Sud Project-France, UMMISCO-IRD Project-France and Fond National Suisse.

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Diagne, A., Sène, A. Control of shallow water and sediment continuity coupled system. Math. Control Signals Syst. 25, 387–406 (2013). https://doi.org/10.1007/s00498-012-0101-3

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  • DOI: https://doi.org/10.1007/s00498-012-0101-3

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