Discrete Controllability of Distributed Parameters Systems using Lattice Boltzmann Models: an application to the Shallow Water EquationsReportar como inadecuado




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1 LCIS - Laboratoire de Conception et d-Intégration des Systèmes 2 LAGEP - Laboratoire d-automatique et de génie des procédés 3 Computer Science Department - Uni. Genève

Abstract : The Lattice Boltzmann cellular automata model equivalent to the 1D shallow water equations is fi rst introduced. Then, its state-space representation with the introduction of input-output variables is presented. Finally, the discrete controllability problem is investigated. First considerations and methods suitable for large scale discrete dynamical systems Gramian computations are presented. Then controllability analysis arguments are developed based on the obtained Gramians and on the convergence of energy properties.

Keywords : N-dimensional systems Application of nonlinear analysis and design Lyapunov methods





Autor: Diemer Anda Ondo - Laurent Lefèvre - Bastien Chopard -

Fuente: https://hal.archives-ouvertes.fr/



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