Spectral and input-output properties of the reduced Hamiltonian formulation for the Shallow Water equations
Résumé
We present in this paper some important properties of a reduced port-controlled hamiltonian (PCH) model for the shallow water equations also called Saint-Venant equations used to model water dynamics in open channels and rivers. The convergence of the reduced finite dimensional spectrum to the original infinite dimensional one is established. The comparison of the reduced model transfer functions with the infinite dimensional ones exhibits the convergence of the reduced transfer functions to the infinite dimensional ones with respect to the resolution of the reduction scheme.