Boundary control of a channel: Practical and numerical studies
System, Structure and Control, Volume # 3 | Part# 1
Santos, Valerie Dos; Prieur, Christophe
Digital Object Identifier (DOI)
stability,Saint-Venant equations,non-linear system of conservation laws,Riemann coordinates
The problem of stability of the non-linear Saint-Venant equations stated by two conservation laws perturbed by non-homogeneous terms is presented. Under some assumptions on those non-homogeneous functions, previous results on the stability of two conservation laws are developed using the Riemann coordinates approach. This stability result applied to the regulation of the water flow and level of the shallow water equations is validated by simulations and experimentations on a real river data and a micro-channel respectively.
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